How to Find GCF of 97/57, 72/870, 677/686?

GCF of 97/57, 72/870, 677/686

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 97/57, 72/870, 677/686 i.e 1/5669790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/57, 72/870, 677/686.

Enter two or more fractions separated by "commas"

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

What is the GCF of 97/57,72/870,677/686?

Given fractions are 97/57,72/870,677/686

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 97/57,72/870,677/686, numerators are 97,72,677

Denominators are 57,870,686

The GCF of 97,72,677 is 1 .

LCM of 57,870,686 is 5669790.

The greatest common factor of 97/57,72/870,677/686 = [GCF of 97,72,677]/[LCM of 57,870,686]= 1/5669790

Therefore, the GCF of 97/57,72/870,677/686 is 1/5669790.

Greatest Common Factor of 97,72,677

To find the highest common factor of 97,72,677, we have to find the factors of both numbers and list the highest common factor.

The factors of 97 are 1, 97

The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

The factors of 677 are 1, 677

The HCF of 97,72,677 is 1.

Lets's calculate GCF of 97,72,677

Greatest Common Factor (GCF) of 97,72,677 By Common Division

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

Greatest Common Factor of 97,72,677 By Matching Biggest Common Factor Method

Now, list down the factors of 97

1,97

Now, list down the factors of 72

1,2,3,4,6,8,9,12,18,24,36,72

Now, list down the factors of 677

1,677

Greatest Common Factor

We found the factors 97,72,677 . The biggest common factor number is the GCF number.
So the greatest common factor 97,72,677 is 1.

Lets's calculate LCM of 57,870,686

Lowest Common Multiple of 57,870,686 using Common Division

2	57, 870, 686
3	57, 435, 343
	19, 145, 343

∴ So the LCM of the given numbers is 2 x 3 x 19 x 145 x 343 = 5669790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5669790

Therefore, the GCF of Fractions 97/57,72/870,677/686 is 1/5669790

Least Common Multiple of 57,870,686 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 57,870,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,870,686) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(57,870,686) x common factors =1 x 6 = 6

LCM(57,870,686) = ( 57 × 870 × 686 ) / 6

LCM(57,870,686) = 34018740 / 6

LCM(57,870,686) = 5669790

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 97/57, 72/870, 677/686

1. What is the HCF of 97,72,677?

The HCF of 97,72,677 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 97/57, 72/870, 677/686?

Answer: GCF of Numerators as per given numbers 97/57, 72/870, 677/686 is

GCF of Numerators i.e. for 97,72,677 is 1

LCM of denominators i.e. for 57,870,686 is 5669790.

Thus, GCF of Fractions is 1/5669790.Finally, GCF of Fractions for 97/57, 72/870, 677/686 is 1/5669790.