Greatest Common Factor of 5764/996, 6738/4212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5764/996, 6738/4212

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 5764/996,6738/4212

Given fractions are 5764/996,6738/4212

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5764,6738

Greatest Common Factor of Numerators i.e. GCF of 5764,6738 is 2 .

LCM of Denominators means LCM of 996,4212 as per the given fractions.

LCM of 996,4212 is 349596 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5764,6738

GCF of Fractions 5764/996,6738/4212 is 2/349596

2 5764, 6738
2882, 3369

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

Greatest Common Factor of 5764,6738 By Matching Biggest Common Factor Method

Greatest Common Factor of 5764,6738 By Matching Biggest Common Factor Method

Factors of 5764

List of positive integer factors of 5764 that divides 5764 without a remainder.

1,2,4,11,22,44,131,262,524,1441,2882,5764

Factors of 6738

List of positive integer factors of 6738 that divides 6738 without a remainder.

1,2,3,6,1123,2246,3369,6738

Greatest Common Factor

We found the factors 5764,6738 . The biggest common factor number is the GCF number.
So the greatest common factor 5764,6738 is 2.

Lets's calculate LCM of 996,4212

2 996, 4212
2 498, 2106
3 249, 1053
83, 351

∴ So the LCM of the given numbers is 2 x 2 x 3 x 83 x 351 = 349596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/349596

Therefore, the GCF of Fractions 5764/996,6738/4212 is 2/349596

Least Common Multiple of 996,4212 with GCF Formula

Least Common Multiple of 996,4212 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 996,4212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,4212) = 12

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

GCF(996,4212) x common factors =12 x 1 = 12

LCM(996,4212) = ( 996 × 4212 ) / 12

LCM(996,4212) = 4195152 / 12

LCM(996,4212) = 349596


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5764/996, 6738/4212

1. 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.

2. What is the GCF of Fractions for 5764/996, 6738/4212?

Answer: GCF of Numerators as per given numbers 5764/996, 6738/4212 is

GCF of Numerators i.e. for 5764,6738 is 2

LCM of denominators i.e. for 996,4212 is 349596.

Thus, GCF of Fractions is 2/349596.Finally, GCF of Fractions for 5764/996, 6738/4212 is 2/349596.