Greatest Common Factor of 701/77, 525/49, 752/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 701/77, 525/49, 752/215

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 701/77,525/49,752/215

Given fractions are 701/77,525/49,752/215

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 701,525,752

Greatest Common Factor of Numerators i.e. GCF of 701,525,752 is 1 .

LCM of Denominators means LCM of 77,49,215 as per the given fractions.

LCM of 77,49,215 is 115885 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 701,525,752

GCF of Fractions 701/77,525/49,752/215 is 1/115885

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

Greatest Common Factor of 701,525,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 701,525,752 By Matching Biggest Common Factor Method

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 701,525,752 . The biggest common factor number is the GCF number.
So the greatest common factor 701,525,752 is 1.

Lets's calculate LCM of 77,49,215

7 77, 49, 215
11, 7, 215

∴ So the LCM of the given numbers is 7 x 11 x 7 x 215 = 115885

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115885

Therefore, the GCF of Fractions 701/77,525/49,752/215 is 1/115885

Least Common Multiple of 77,49,215 with GCF Formula

Least Common Multiple of 77,49,215 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 77,49,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,49,215) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(77,49,215) x common factors =1 x 7 = 7

LCM(77,49,215) = ( 77 × 49 × 215 ) / 7

LCM(77,49,215) = 811195 / 7

LCM(77,49,215) = 115885


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 701/77, 525/49, 752/215

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 701/77, 525/49, 752/215?

Answer: GCF of Numerators as per given numbers 701/77, 525/49, 752/215 is

GCF of Numerators i.e. for 701,525,752 is 1

LCM of denominators i.e. for 77,49,215 is 115885.

Thus, GCF of Fractions is 1/115885.Finally, GCF of Fractions for 701/77, 525/49, 752/215 is 1/115885.