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 2456/734, 3738/7314

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 2456/734, 3738/7314 i.e 2/2684238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2456/734, 3738/7314.

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 2456/734,3738/7314?

Given fractions are 2456/734,3738/7314

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 2456/734,3738/7314, numerators are 2456,3738

Denominators are 734,7314

The GCF of 2456,3738 is 2 .

LCM of 734,7314 is 2684238.

The greatest common factor of 2456/734,3738/7314 = [GCF of 2456,3738]/[LCM of 734,7314]= 2/2684238

Therefore, the GCF of 2456/734,3738/7314 is 2/2684238.

Greatest Common Factor of 2456,3738

To find the highest common factor of 2456,3738, we have to find the factors of both numbers and list the highest common factor.

The factors of 2456 are 1, 2, 4, 8, 307, 614, 1228, 2456

The factors of 3738 are 1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869, 3738

The HCF of 2456,3738 is 2.

Lets's calculate GCF of 2456,3738

Greatest Common Factor (GCF) of 2456,3738 By Common Division

2 2456, 3738
1228, 1869

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

Greatest Common Factor of 2456,3738 By Matching Biggest Common Factor Method

Greatest Common Factor of 2456,3738 By Matching Biggest Common Factor Method

Now, list down the factors of 2456

:

1,2,4,8,307,614,1228,2456

Now, list down the factors of 3738

:

1,2,3,6,7,14,21,42,89,178,267,534,623,1246,1869,3738

Greatest Common Factor

We found the factors 2456,3738 . The biggest common factor number is the GCF number.
So the greatest common factor 2456,3738 is 2.


Lets's calculate LCM of 734,7314

Lowest Common Multiple of 734,7314 using Common Division

2 734, 7314
367, 3657

∴ So the LCM of the given numbers is 2 x 367 x 3657 = 2684238

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2684238

Therefore, the GCF of Fractions 2456/734,3738/7314 is 2/2684238

Least Common Multiple of 734,7314 with GCF Formula

Least Common Multiple of 734,7314 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 734,7314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,7314) = 2

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

GCF(734,7314) x common factors =2 x 1 = 2

LCM(734,7314) = ( 734 × 7314 ) / 2

LCM(734,7314) = 5368476 / 2

LCM(734,7314) = 2684238


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2456/734, 3738/7314

1. What is the HCF of 2456,3738?

The HCF of 2456,3738 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 2456/734, 3738/7314?

Answer: GCF of Numerators as per given numbers 2456/734, 3738/7314 is

GCF of Numerators i.e. for 2456,3738 is 2

LCM of denominators i.e. for 734,7314 is 2684238.

Thus, GCF of Fractions is 2/2684238.Finally, GCF of Fractions for 2456/734, 3738/7314 is 2/2684238.