Greatest Common Factor of 9620/210, 7280/5458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9620/210, 7280/5458

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 9620/210,7280/5458

Given fractions are 9620/210,7280/5458

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 9620,7280

Greatest Common Factor of Numerators i.e. GCF of 9620,7280 is 260 .

LCM of Denominators means LCM of 210,5458 as per the given fractions.

LCM of 210,5458 is 573090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9620,7280

GCF of Fractions 9620/210,7280/5458 is 260/573090

2 9620, 7280
2 4810, 3640
5 2405, 1820
13 481, 364
37, 28

∴ So the GCF of the given numbers is 2 x 2 x 5 x 13 = 260

Greatest Common Factor of 9620,7280 By Matching Biggest Common Factor Method

Greatest Common Factor of 9620,7280 By Matching Biggest Common Factor Method

Factors of 9620

List of positive integer factors of 9620 that divides 9620 without a remainder.

1,2,4,5,10,13,20,26,37,52,65,74,130,148,185,260,370,481,740,962,1924,2405,4810,9620

Factors of 7280

List of positive integer factors of 7280 that divides 7280 without a remainder.

1,2,4,5,7,8,10,13,14,16,20,26,28,35,40,52,56,65,70,80,91,104,112,130,140,182,208,260,280,364,455,520,560,728,910,1040,1456,1820,3640,7280

Greatest Common Factor

We found the factors 9620,7280 . The biggest common factor number is the GCF number.
So the greatest common factor 9620,7280 is 260.

Lets's calculate LCM of 210,5458

2 210, 5458
105, 2729

∴ So the LCM of the given numbers is 2 x 105 x 2729 = 573090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 260/573090

Therefore, the GCF of Fractions 9620/210,7280/5458 is 260/573090

Least Common Multiple of 210,5458 with GCF Formula

Least Common Multiple of 210,5458 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 210,5458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,5458) = 2

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

GCF(210,5458) x common factors =2 x 1 = 2

LCM(210,5458) = ( 210 × 5458 ) / 2

LCM(210,5458) = 1146180 / 2

LCM(210,5458) = 573090


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 9620/210, 7280/5458

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 9620/210, 7280/5458?

Answer: GCF of Numerators as per given numbers 9620/210, 7280/5458 is

GCF of Numerators i.e. for 9620,7280 is 260

LCM of denominators i.e. for 210,5458 is 573090.

Thus, GCF of Fractions is 260/573090.Finally, GCF of Fractions for 9620/210, 7280/5458 is 260/573090.