Greatest Common Factor of 756/896, 1298/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 756/896, 1298/497

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 756/896,1298/497

Given fractions are 756/896,1298/497

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 756,1298

Greatest Common Factor of Numerators i.e. GCF of 756,1298 is 2 .

LCM of Denominators means LCM of 896,497 as per the given fractions.

LCM of 896,497 is 63616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 756,1298

GCF of Fractions 756/896,1298/497 is 2/63616

2 756, 1298
378, 649

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

Greatest Common Factor of 756,1298 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,1298 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 1298

List of positive integer factors of 1298 that divides 1298 without a remainder.

1,2,11,22,59,118,649,1298

Greatest Common Factor

We found the factors 756,1298 . The biggest common factor number is the GCF number.
So the greatest common factor 756,1298 is 2.

Lets's calculate LCM of 896,497

7 896, 497
128, 71

∴ So the LCM of the given numbers is 7 x 128 x 71 = 63616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/63616

Therefore, the GCF of Fractions 756/896,1298/497 is 2/63616

Least Common Multiple of 896,497 with GCF Formula

Least Common Multiple of 896,497 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 896,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,497) = 7

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

GCF(896,497) x common factors =7 x 1 = 7

LCM(896,497) = ( 896 × 497 ) / 7

LCM(896,497) = 445312 / 7

LCM(896,497) = 63616


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 756/896, 1298/497

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 756/896, 1298/497?

Answer: GCF of Numerators as per given numbers 756/896, 1298/497 is

GCF of Numerators i.e. for 756,1298 is 2

LCM of denominators i.e. for 896,497 is 63616.

Thus, GCF of Fractions is 2/63616.Finally, GCF of Fractions for 756/896, 1298/497 is 2/63616.