Greatest Common Factor of 700/779, 1527/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 700/779, 1527/408

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 700/779,1527/408

Given fractions are 700/779,1527/408

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 700,1527

Greatest Common Factor of Numerators i.e. GCF of 700,1527 is 1 .

LCM of Denominators means LCM of 779,408 as per the given fractions.

LCM of 779,408 is 317832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 700,1527

GCF of Fractions 700/779,1527/408 is 1/317832

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

Greatest Common Factor of 700,1527 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,1527 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 1527

List of positive integer factors of 1527 that divides 1527 without a remainder.

1,3,509,1527

Greatest Common Factor

We found the factors 700,1527 . The biggest common factor number is the GCF number.
So the greatest common factor 700,1527 is 1.

Lets's calculate LCM of 779,408

Given numbers has no common factors except 1. So, there LCM is their product i.e 317832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/317832

Therefore, the GCF of Fractions 700/779,1527/408 is 1/317832

Least Common Multiple of 779,408 with GCF Formula

Least Common Multiple of 779,408 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 779,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(779,408) = 1

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

GCF(779,408) x common factors =1 x 1 = 1

LCM(779,408) = ( 779 × 408 ) / 1

LCM(779,408) = 317832 / 1

LCM(779,408) = 317832


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 700/779, 1527/408

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 700/779, 1527/408?

Answer: GCF of Numerators as per given numbers 700/779, 1527/408 is

GCF of Numerators i.e. for 700,1527 is 1

LCM of denominators i.e. for 779,408 is 317832.

Thus, GCF of Fractions is 1/317832.Finally, GCF of Fractions for 700/779, 1527/408 is 1/317832.