Greatest Common Factor of 71/61, 762/12, 216/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/61, 762/12, 216/778

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 71/61,762/12,216/778

Given fractions are 71/61,762/12,216/778

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 71,762,216

Greatest Common Factor of Numerators i.e. GCF of 71,762,216 is 1 .

LCM of Denominators means LCM of 61,12,778 as per the given fractions.

LCM of 61,12,778 is 284748 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,762,216

GCF of Fractions 71/61,762/12,216/778 is 1/284748

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

Greatest Common Factor of 71,762,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,762,216 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 71,762,216 . The biggest common factor number is the GCF number.
So the greatest common factor 71,762,216 is 1.

Lets's calculate LCM of 61,12,778

2 61, 12, 778
61, 6, 389

∴ So the LCM of the given numbers is 2 x 61 x 6 x 389 = 284748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284748

Therefore, the GCF of Fractions 71/61,762/12,216/778 is 1/284748

Least Common Multiple of 61,12,778 with GCF Formula

Least Common Multiple of 61,12,778 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 61,12,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,12,778) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(61,12,778) x common factors =1 x 2 = 2

LCM(61,12,778) = ( 61 × 12 × 778 ) / 2

LCM(61,12,778) = 569496 / 2

LCM(61,12,778) = 284748


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 71/61, 762/12, 216/778

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 71/61, 762/12, 216/778?

Answer: GCF of Numerators as per given numbers 71/61, 762/12, 216/778 is

GCF of Numerators i.e. for 71,762,216 is 1

LCM of denominators i.e. for 61,12,778 is 284748.

Thus, GCF of Fractions is 1/284748.Finally, GCF of Fractions for 71/61, 762/12, 216/778 is 1/284748.