Greatest Common Factor of 8806/464, 6675/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 8806/464, 6675/370

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 8806/464,6675/370

Given fractions are 8806/464,6675/370

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 8806,6675

Greatest Common Factor of Numerators i.e. GCF of 8806,6675 is 1 .

LCM of Denominators means LCM of 464,370 as per the given fractions.

LCM of 464,370 is 85840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8806,6675

GCF of Fractions 8806/464,6675/370 is 1/85840

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

Greatest Common Factor of 8806,6675 By Matching Biggest Common Factor Method

Greatest Common Factor of 8806,6675 By Matching Biggest Common Factor Method

Factors of 8806

List of positive integer factors of 8806 that divides 8806 without a remainder.

1,2,7,14,17,34,37,74,119,238,259,518,629,1258,4403,8806

Factors of 6675

List of positive integer factors of 6675 that divides 6675 without a remainder.

1,3,5,15,25,75,89,267,445,1335,2225,6675

Greatest Common Factor

We found the factors 8806,6675 . The biggest common factor number is the GCF number.
So the greatest common factor 8806,6675 is 1.


Lets's calculate LCM of 464,370

2 464, 370
232, 185

∴ So the LCM of the given numbers is 2 x 232 x 185 = 85840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85840

Therefore, the GCF of Fractions 8806/464,6675/370 is 1/85840

Least Common Multiple of 464,370 with GCF Formula

Least Common Multiple of 464,370 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 464,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,370) = 2

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

GCF(464,370) x common factors =2 x 1 = 2

LCM(464,370) = ( 464 × 370 ) / 2

LCM(464,370) = 171680 / 2

LCM(464,370) = 85840


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 8806/464, 6675/370

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 8806/464, 6675/370?

Answer: GCF of Numerators as per given numbers 8806/464, 6675/370 is

GCF of Numerators i.e. for 8806,6675 is 1

LCM of denominators i.e. for 464,370 is 85840.

Thus, GCF of Fractions is 1/85840.Finally, GCF of Fractions for 8806/464, 6675/370 is 1/85840.