Greatest Common Factor of 5380/662, 1090/6470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5380/662, 1090/6470

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 5380/662,1090/6470

Given fractions are 5380/662,1090/6470

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 5380,1090

Greatest Common Factor of Numerators i.e. GCF of 5380,1090 is 10 .

LCM of Denominators means LCM of 662,6470 as per the given fractions.

LCM of 662,6470 is 2141570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5380,1090

GCF of Fractions 5380/662,1090/6470 is 10/2141570

2 5380, 1090
5 2690, 545
538, 109

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

Greatest Common Factor of 5380,1090 By Matching Biggest Common Factor Method

Greatest Common Factor of 5380,1090 By Matching Biggest Common Factor Method

Factors of 5380

List of positive integer factors of 5380 that divides 5380 without a remainder.

1,2,4,5,10,20,269,538,1076,1345,2690,5380

Factors of 1090

List of positive integer factors of 1090 that divides 1090 without a remainder.

1,2,5,10,109,218,545,1090

Greatest Common Factor

We found the factors 5380,1090 . The biggest common factor number is the GCF number.
So the greatest common factor 5380,1090 is 10.

Lets's calculate LCM of 662,6470

2 662, 6470
331, 3235

∴ So the LCM of the given numbers is 2 x 331 x 3235 = 2141570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2141570

Therefore, the GCF of Fractions 5380/662,1090/6470 is 10/2141570

Least Common Multiple of 662,6470 with GCF Formula

Least Common Multiple of 662,6470 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 662,6470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(662,6470) = 2

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

GCF(662,6470) x common factors =2 x 1 = 2

LCM(662,6470) = ( 662 × 6470 ) / 2

LCM(662,6470) = 4283140 / 2

LCM(662,6470) = 2141570


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5380/662, 1090/6470

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 5380/662, 1090/6470?

Answer: GCF of Numerators as per given numbers 5380/662, 1090/6470 is

GCF of Numerators i.e. for 5380,1090 is 10

LCM of denominators i.e. for 662,6470 is 2141570.

Thus, GCF of Fractions is 10/2141570.Finally, GCF of Fractions for 5380/662, 1090/6470 is 10/2141570.