LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 1144/854, 4734/2734

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 1144/854, 4734/2734 i.e 2/1167418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1144/854, 4734/2734.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 1144/854,4734/2734?

Given fractions are 1144/854,4734/2734

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 1144/854,4734/2734, numerators are 1144,4734

Denominators are 854,2734

The GCF of 1144,4734 is 2 .

LCM of 854,2734 is 1167418.

The greatest common factor of 1144/854,4734/2734 = [GCF of 1144,4734]/[LCM of 854,2734]= 2/1167418

Therefore, the GCF of 1144/854,4734/2734 is 2/1167418.

Greatest Common Factor of 1144,4734

To find the highest common factor of 1144,4734, we have to find the factors of both numbers and list the highest common factor.

The factors of 1144 are 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144

The factors of 4734 are 1, 2, 3, 6, 9, 18, 263, 526, 789, 1578, 2367, 4734

The HCF of 1144,4734 is 2.

Lets's calculate GCF of 1144,4734

Greatest Common Factor (GCF) of 1144,4734 By Common Division

2 1144, 4734
572, 2367

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1144,4734 By Matching Biggest Common Factor Method

Greatest Common Factor of 1144,4734 By Matching Biggest Common Factor Method

Now, list down the factors of 1144

:

1,2,4,8,11,13,22,26,44,52,88,104,143,286,572,1144

Now, list down the factors of 4734

:

1,2,3,6,9,18,263,526,789,1578,2367,4734

Greatest Common Factor

We found the factors 1144,4734 . The biggest common factor number is the GCF number.
So the greatest common factor 1144,4734 is 2.


Lets's calculate LCM of 854,2734

Lowest Common Multiple of 854,2734 using Common Division

2 854, 2734
427, 1367

∴ So the LCM of the given numbers is 2 x 427 x 1367 = 1167418

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1167418

Therefore, the GCF of Fractions 1144/854,4734/2734 is 2/1167418

Least Common Multiple of 854,2734 with GCF Formula

Least Common Multiple of 854,2734 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 854,2734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,2734) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(854,2734) x common factors =2 x 1 = 2

LCM(854,2734) = ( 854 × 2734 ) / 2

LCM(854,2734) = 2334836 / 2

LCM(854,2734) = 1167418


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1144/854, 4734/2734

1. What is the HCF of 1144,4734?

The HCF of 1144,4734 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 1144/854, 4734/2734?

Answer: GCF of Numerators as per given numbers 1144/854, 4734/2734 is

GCF of Numerators i.e. for 1144,4734 is 2

LCM of denominators i.e. for 854,2734 is 1167418.

Thus, GCF of Fractions is 2/1167418.Finally, GCF of Fractions for 1144/854, 4734/2734 is 2/1167418.