Greatest Common Factor of 870/88, 806/4135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 870/88, 806/4135

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 870/88,806/4135

Given fractions are 870/88,806/4135

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 870,806

Greatest Common Factor of Numerators i.e. GCF of 870,806 is 2 .

LCM of Denominators means LCM of 88,4135 as per the given fractions.

LCM of 88,4135 is 363880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 870,806

GCF of Fractions 870/88,806/4135 is 2/363880

2 870, 806
435, 403

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 870,806 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,806 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Greatest Common Factor

We found the factors 870,806 . The biggest common factor number is the GCF number.
So the greatest common factor 870,806 is 2.


Lets's calculate LCM of 88,4135

Given numbers has no common factors except 1. So, there LCM is their product i.e 363880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/363880

Therefore, the GCF of Fractions 870/88,806/4135 is 2/363880

Least Common Multiple of 88,4135 with GCF Formula

Least Common Multiple of 88,4135 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 88,4135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,4135) = 1

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

GCF(88,4135) x common factors =1 x 1 = 1

LCM(88,4135) = ( 88 × 4135 ) / 1

LCM(88,4135) = 363880 / 1

LCM(88,4135) = 363880


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 870/88, 806/4135

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 870/88, 806/4135?

Answer: GCF of Numerators as per given numbers 870/88, 806/4135 is

GCF of Numerators i.e. for 870,806 is 2

LCM of denominators i.e. for 88,4135 is 363880.

Thus, GCF of Fractions is 2/363880.Finally, GCF of Fractions for 870/88, 806/4135 is 2/363880.