Greatest Common Factor of 820/901, 7150/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 820/901, 7150/905

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 820/901,7150/905

Given fractions are 820/901,7150/905

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 820,7150

Greatest Common Factor of Numerators i.e. GCF of 820,7150 is 10 .

LCM of Denominators means LCM of 901,905 as per the given fractions.

LCM of 901,905 is 815405 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 820,7150

GCF of Fractions 820/901,7150/905 is 10/815405

2 820, 7150
5 410, 3575
82, 715

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

Greatest Common Factor of 820,7150 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,7150 By Matching Biggest Common Factor Method

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 7150

List of positive integer factors of 7150 that divides 7150 without a remainder.

1,2,5,10,11,13,22,25,26,50,55,65,110,130,143,275,286,325,550,650,715,1430,3575,7150

Greatest Common Factor

We found the factors 820,7150 . The biggest common factor number is the GCF number.
So the greatest common factor 820,7150 is 10.

Lets's calculate LCM of 901,905

Given numbers has no common factors except 1. So, there LCM is their product i.e 815405

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/815405

Therefore, the GCF of Fractions 820/901,7150/905 is 10/815405

Least Common Multiple of 901,905 with GCF Formula

Least Common Multiple of 901,905 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 901,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(901,905) = 1

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

GCF(901,905) x common factors =1 x 1 = 1

LCM(901,905) = ( 901 × 905 ) / 1

LCM(901,905) = 815405 / 1

LCM(901,905) = 815405


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 820/901, 7150/905

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 820/901, 7150/905?

Answer: GCF of Numerators as per given numbers 820/901, 7150/905 is

GCF of Numerators i.e. for 820,7150 is 10

LCM of denominators i.e. for 901,905 is 815405.

Thus, GCF of Fractions is 10/815405.Finally, GCF of Fractions for 820/901, 7150/905 is 10/815405.