Greatest Common Factor of 757/754, 820/300, 280/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 757/754, 820/300, 280/526

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 757/754,820/300,280/526

Given fractions are 757/754,820/300,280/526

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 757,820,280

Greatest Common Factor of Numerators i.e. GCF of 757,820,280 is 1 .

LCM of Denominators means LCM of 754,300,526 as per the given fractions.

LCM of 754,300,526 is 29745300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 757,820,280

GCF of Fractions 757/754,820/300,280/526 is 1/29745300

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

Greatest Common Factor of 757,820,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 757,820,280 By Matching Biggest Common Factor Method

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 757,820,280 . The biggest common factor number is the GCF number.
So the greatest common factor 757,820,280 is 1.

Lets's calculate LCM of 754,300,526

2 754, 300, 526
377, 150, 263

∴ So the LCM of the given numbers is 2 x 377 x 150 x 263 = 29745300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29745300

Therefore, the GCF of Fractions 757/754,820/300,280/526 is 1/29745300

Least Common Multiple of 754,300,526 with GCF Formula

Least Common Multiple of 754,300,526 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 754,300,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,300,526) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(754,300,526) x common factors =2 x 2 = 4

LCM(754,300,526) = ( 754 × 300 × 526 ) / 4

LCM(754,300,526) = 118981200 / 4

LCM(754,300,526) = 29745300


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 757/754, 820/300, 280/526

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 757/754, 820/300, 280/526?

Answer: GCF of Numerators as per given numbers 757/754, 820/300, 280/526 is

GCF of Numerators i.e. for 757,820,280 is 1

LCM of denominators i.e. for 754,300,526 is 29745300.

Thus, GCF of Fractions is 1/29745300.Finally, GCF of Fractions for 757/754, 820/300, 280/526 is 1/29745300.