How to Find GCF of 13/77, 83/695, 972/479?

GCF of 13/77, 83/695, 972/479

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 13/77, 83/695, 972/479 i.e 1/25633685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/77, 83/695, 972/479.

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 13/77,83/695,972/479?

Given fractions are 13/77,83/695,972/479

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 13/77,83/695,972/479, numerators are 13,83,972

Denominators are 77,695,479

The GCF of 13,83,972 is 1 .

LCM of 77,695,479 is 25633685.

The greatest common factor of 13/77,83/695,972/479 = [GCF of 13,83,972]/[LCM of 77,695,479]= 1/25633685

Therefore, the GCF of 13/77,83/695,972/479 is 1/25633685.

Greatest Common Factor of 13,83,972

To find the highest common factor of 13,83,972, we have to find the factors of both numbers and list the highest common factor.

The factors of 13 are 1, 13

The factors of 83 are 1, 83

The factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

The HCF of 13,83,972 is 1.

Lets's calculate GCF of 13,83,972

Greatest Common Factor (GCF) of 13,83,972 By Common Division

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

Greatest Common Factor of 13,83,972 By Matching Biggest Common Factor Method

Now, list down the factors of 13

1,13

Now, list down the factors of 83

1,83

Now, list down the factors of 972

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 13,83,972 . The biggest common factor number is the GCF number.
So the greatest common factor 13,83,972 is 1.

Lets's calculate LCM of 77,695,479

Lowest Common Multiple of 77,695,479 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 25633685

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25633685

Therefore, the GCF of Fractions 13/77,83/695,972/479 is 1/25633685

Least Common Multiple of 77,695,479 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 77,695,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,695,479) = 1

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

GCF(77,695,479) x common factors =1 x 1 = 1

LCM(77,695,479) = ( 77 × 695 × 479 ) / 1

LCM(77,695,479) = 25633685 / 1

LCM(77,695,479) = 25633685

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 13/77, 83/695, 972/479

1. What is the HCF of 13,83,972?

The HCF of 13,83,972 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 13/77, 83/695, 972/479?

Answer: GCF of Numerators as per given numbers 13/77, 83/695, 972/479 is

GCF of Numerators i.e. for 13,83,972 is 1

LCM of denominators i.e. for 77,695,479 is 25633685.

Thus, GCF of Fractions is 1/25633685.Finally, GCF of Fractions for 13/77, 83/695, 972/479 is 1/25633685.