Greatest Common Factor of 890/641, 7510/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 890/641, 7510/569

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 890/641,7510/569

Given fractions are 890/641,7510/569

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 890,7510

Greatest Common Factor of Numerators i.e. GCF of 890,7510 is 10 .

LCM of Denominators means LCM of 641,569 as per the given fractions.

LCM of 641,569 is 364729 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 890,7510

GCF of Fractions 890/641,7510/569 is 10/364729

2 890, 7510
5 445, 3755
89, 751

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 890,7510 By Matching Biggest Common Factor Method

Greatest Common Factor of 890,7510 By Matching Biggest Common Factor Method

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 7510

List of positive integer factors of 7510 that divides 7510 without a remainder.

1,2,5,10,751,1502,3755,7510

Greatest Common Factor

We found the factors 890,7510 . The biggest common factor number is the GCF number.
So the greatest common factor 890,7510 is 10.

Lets's calculate LCM of 641,569

Given numbers has no common factors except 1. So, there LCM is their product i.e 364729

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/364729

Therefore, the GCF of Fractions 890/641,7510/569 is 10/364729

Least Common Multiple of 641,569 with GCF Formula

Least Common Multiple of 641,569 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 641,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(641,569) = 1

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

GCF(641,569) x common factors =1 x 1 = 1

LCM(641,569) = ( 641 × 569 ) / 1

LCM(641,569) = 364729 / 1

LCM(641,569) = 364729


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 890/641, 7510/569

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 890/641, 7510/569?

Answer: GCF of Numerators as per given numbers 890/641, 7510/569 is

GCF of Numerators i.e. for 890,7510 is 10

LCM of denominators i.e. for 641,569 is 364729.

Thus, GCF of Fractions is 10/364729.Finally, GCF of Fractions for 890/641, 7510/569 is 10/364729.