Greatest Common Factor of 986/748, 663/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 986/748, 663/757

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 986/748,663/757

Given fractions are 986/748,663/757

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 986,663

Greatest Common Factor of Numerators i.e. GCF of 986,663 is 17 .

LCM of Denominators means LCM of 748,757 as per the given fractions.

LCM of 748,757 is 566236 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 986,663

GCF of Fractions 986/748,663/757 is 17/566236

17 986, 663
58, 39

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 986,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 986,663 By Matching Biggest Common Factor Method

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 986,663 . The biggest common factor number is the GCF number.
So the greatest common factor 986,663 is 17.

Lets's calculate LCM of 748,757

Given numbers has no common factors except 1. So, there LCM is their product i.e 566236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/566236

Therefore, the GCF of Fractions 986/748,663/757 is 17/566236

Least Common Multiple of 748,757 with GCF Formula

Least Common Multiple of 748,757 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 748,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,757) = 1

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

GCF(748,757) x common factors =1 x 1 = 1

LCM(748,757) = ( 748 × 757 ) / 1

LCM(748,757) = 566236 / 1

LCM(748,757) = 566236


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 986/748, 663/757

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 986/748, 663/757?

Answer: GCF of Numerators as per given numbers 986/748, 663/757 is

GCF of Numerators i.e. for 986,663 is 17

LCM of denominators i.e. for 748,757 is 566236.

Thus, GCF of Fractions is 17/566236.Finally, GCF of Fractions for 986/748, 663/757 is 17/566236.