Greatest Common Factor of 989/961, 606/340, 676/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 989/961, 606/340, 676/785

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 989/961,606/340,676/785

Given fractions are 989/961,606/340,676/785

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 989,606,676

Greatest Common Factor of Numerators i.e. GCF of 989,606,676 is 1 .

LCM of Denominators means LCM of 961,340,785 as per the given fractions.

LCM of 961,340,785 is 51298180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 989,606,676

GCF of Fractions 989/961,606/340,676/785 is 1/51298180

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

Greatest Common Factor of 989,606,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 989,606,676 By Matching Biggest Common Factor Method

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 989,606,676 . The biggest common factor number is the GCF number.
So the greatest common factor 989,606,676 is 1.

Lets's calculate LCM of 961,340,785

5 961, 340, 785
961, 68, 157

∴ So the LCM of the given numbers is 5 x 961 x 68 x 157 = 51298180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51298180

Therefore, the GCF of Fractions 989/961,606/340,676/785 is 1/51298180

Least Common Multiple of 961,340,785 with GCF Formula

Least Common Multiple of 961,340,785 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 961,340,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(961,340,785) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(961,340,785) x common factors =1 x 5 = 5

LCM(961,340,785) = ( 961 × 340 × 785 ) / 5

LCM(961,340,785) = 256490900 / 5

LCM(961,340,785) = 51298180


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 989/961, 606/340, 676/785

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 989/961, 606/340, 676/785?

Answer: GCF of Numerators as per given numbers 989/961, 606/340, 676/785 is

GCF of Numerators i.e. for 989,606,676 is 1

LCM of denominators i.e. for 961,340,785 is 51298180.

Thus, GCF of Fractions is 1/51298180.Finally, GCF of Fractions for 989/961, 606/340, 676/785 is 1/51298180.