Greatest Common Factor of 88/77, 13/34, 103/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 88/77, 13/34, 103/513

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 88/77,13/34,103/513

Given fractions are 88/77,13/34,103/513

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 88,13,103

Greatest Common Factor of Numerators i.e. GCF of 88,13,103 is 1 .

LCM of Denominators means LCM of 77,34,513 as per the given fractions.

LCM of 77,34,513 is 1343034 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 88,13,103

GCF of Fractions 88/77,13/34,103/513 is 1/1343034

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

Greatest Common Factor of 88,13,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,13,103 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Greatest Common Factor

We found the factors 88,13,103 . The biggest common factor number is the GCF number.
So the greatest common factor 88,13,103 is 1.

Lets's calculate LCM of 77,34,513

Given numbers has no common factors except 1. So, there LCM is their product i.e 1343034

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1343034

Therefore, the GCF of Fractions 88/77,13/34,103/513 is 1/1343034

Least Common Multiple of 77,34,513 with GCF Formula

Least Common Multiple of 77,34,513 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 77,34,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,34,513) = 1

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

GCF(77,34,513) x common factors =1 x 1 = 1

LCM(77,34,513) = ( 77 × 34 × 513 ) / 1

LCM(77,34,513) = 1343034 / 1

LCM(77,34,513) = 1343034


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 88/77, 13/34, 103/513

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 88/77, 13/34, 103/513?

Answer: GCF of Numerators as per given numbers 88/77, 13/34, 103/513 is

GCF of Numerators i.e. for 88,13,103 is 1

LCM of denominators i.e. for 77,34,513 is 1343034.

Thus, GCF of Fractions is 1/1343034.Finally, GCF of Fractions for 88/77, 13/34, 103/513 is 1/1343034.