Greatest Common Factor of 97/66, 638/97, 930/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 97/66, 638/97, 930/582

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 97/66,638/97,930/582

Given fractions are 97/66,638/97,930/582

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 97,638,930

Greatest Common Factor of Numerators i.e. GCF of 97,638,930 is 1 .

LCM of Denominators means LCM of 66,97,582 as per the given fractions.

LCM of 66,97,582 is 6402 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 97,638,930

GCF of Fractions 97/66,638/97,930/582 is 1/6402

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

Greatest Common Factor of 97,638,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,638,930 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 97,638,930 . The biggest common factor number is the GCF number.
So the greatest common factor 97,638,930 is 1.

Lets's calculate LCM of 66,97,582

2 66, 97, 582
3 33, 97, 291
97 11, 97, 97
11, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 97 x 11 x 1 x 1 = 6402

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6402

Therefore, the GCF of Fractions 97/66,638/97,930/582 is 1/6402

Least Common Multiple of 66,97,582 with GCF Formula

Least Common Multiple of 66,97,582 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 66,97,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,97,582) = 1

common factors(in case of two or more numbers have common factors) = 582

GCF(66,97,582) x common factors =1 x 582 = 582

LCM(66,97,582) = ( 66 × 97 × 582 ) / 582

LCM(66,97,582) = 3725964 / 582

LCM(66,97,582) = 6402


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 97/66, 638/97, 930/582

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 97/66, 638/97, 930/582?

Answer: GCF of Numerators as per given numbers 97/66, 638/97, 930/582 is

GCF of Numerators i.e. for 97,638,930 is 1

LCM of denominators i.e. for 66,97,582 is 6402.

Thus, GCF of Fractions is 1/6402.Finally, GCF of Fractions for 97/66, 638/97, 930/582 is 1/6402.