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 51/854, 49/5122

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 51/854, 49/5122 i.e 1/2187094 easily. The following is the detailed procedure to determine the greatest common factor of fractions 51/854, 49/5122.

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 51/854,49/5122?

Given fractions are 51/854,49/5122

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 51/854,49/5122, numerators are 51,49

Denominators are 854,5122

The GCF of 51,49 is 1 .

LCM of 854,5122 is 2187094.

The greatest common factor of 51/854,49/5122 = [GCF of 51,49]/[LCM of 854,5122]= 1/2187094

Therefore, the GCF of 51/854,49/5122 is 1/2187094.

Greatest Common Factor of 51,49

To find the highest common factor of 51,49, we have to find the factors of both numbers and list the highest common factor.

The factors of 51 are 1, 3, 17, 51

The factors of 49 are 1, 7, 49

The HCF of 51,49 is 1.

Lets's calculate GCF of 51,49

Greatest Common Factor (GCF) of 51,49 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 51,49 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,49 By Matching Biggest Common Factor Method

Now, list down the factors of 51

:

1,3,17,51

Now, list down the factors of 49

:

1,7,49

Greatest Common Factor

We found the factors 51,49 . The biggest common factor number is the GCF number.
So the greatest common factor 51,49 is 1.

Lets's calculate LCM of 854,5122

Lowest Common Multiple of 854,5122 using Common Division

2 854, 5122
427, 2561

∴ So the LCM of the given numbers is 2 x 427 x 2561 = 2187094

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2187094

Therefore, the GCF of Fractions 51/854,49/5122 is 1/2187094

Least Common Multiple of 854,5122 with GCF Formula

Least Common Multiple of 854,5122 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 854,5122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,5122) = 2

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

GCF(854,5122) x common factors =2 x 1 = 2

LCM(854,5122) = ( 854 × 5122 ) / 2

LCM(854,5122) = 4374188 / 2

LCM(854,5122) = 2187094


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 51/854, 49/5122

1. What is the HCF of 51,49?

The HCF of 51,49 is 1

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 51/854, 49/5122?

Answer: GCF of Numerators as per given numbers 51/854, 49/5122 is

GCF of Numerators i.e. for 51,49 is 1

LCM of denominators i.e. for 854,5122 is 2187094.

Thus, GCF of Fractions is 1/2187094.Finally, GCF of Fractions for 51/854, 49/5122 is 1/2187094.