Greatest Common Factor of 756/35, 401/59, 760/61

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 756/35, 401/59, 760/61

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 756/35,401/59,760/61

Given fractions are 756/35,401/59,760/61

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 756,401,760

Greatest Common Factor of Numerators i.e. GCF of 756,401,760 is 1 .

LCM of Denominators means LCM of 35,59,61 as per the given fractions.

LCM of 35,59,61 is 125965 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 756,401,760

GCF of Fractions 756/35,401/59,760/61 is 1/125965

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

Greatest Common Factor of 756,401,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,401,760 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 756,401,760 . The biggest common factor number is the GCF number.
So the greatest common factor 756,401,760 is 1.

Lets's calculate LCM of 35,59,61

Given numbers has no common factors except 1. So, there LCM is their product i.e 125965

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125965

Therefore, the GCF of Fractions 756/35,401/59,760/61 is 1/125965

Least Common Multiple of 35,59,61 with GCF Formula

Least Common Multiple of 35,59,61 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 35,59,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,59,61) = 1

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

GCF(35,59,61) x common factors =1 x 1 = 1

LCM(35,59,61) = ( 35 × 59 × 61 ) / 1

LCM(35,59,61) = 125965 / 1

LCM(35,59,61) = 125965


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 756/35, 401/59, 760/61

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 756/35, 401/59, 760/61?

Answer: GCF of Numerators as per given numbers 756/35, 401/59, 760/61 is

GCF of Numerators i.e. for 756,401,760 is 1

LCM of denominators i.e. for 35,59,61 is 125965.

Thus, GCF of Fractions is 1/125965.Finally, GCF of Fractions for 756/35, 401/59, 760/61 is 1/125965.