Greatest Common Factor of 870/73, 706/49, 808/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 870/73, 706/49, 808/432

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 870/73,706/49,808/432

Given fractions are 870/73,706/49,808/432

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 870,706,808

Greatest Common Factor of Numerators i.e. GCF of 870,706,808 is 2 .

LCM of Denominators means LCM of 73,49,432 as per the given fractions.

LCM of 73,49,432 is 1545264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 870,706,808

GCF of Fractions 870/73,706/49,808/432 is 2/1545264

2 870, 706, 808
435, 353, 404

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

Greatest Common Factor of 870,706,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,706,808 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 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 870,706,808 . The biggest common factor number is the GCF number.
So the greatest common factor 870,706,808 is 2.

Lets's calculate LCM of 73,49,432

Given numbers has no common factors except 1. So, there LCM is their product i.e 1545264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1545264

Therefore, the GCF of Fractions 870/73,706/49,808/432 is 2/1545264

Least Common Multiple of 73,49,432 with GCF Formula

Least Common Multiple of 73,49,432 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 73,49,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,49,432) = 1

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

GCF(73,49,432) x common factors =1 x 1 = 1

LCM(73,49,432) = ( 73 × 49 × 432 ) / 1

LCM(73,49,432) = 1545264 / 1

LCM(73,49,432) = 1545264


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 870/73, 706/49, 808/432

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 870/73, 706/49, 808/432?

Answer: GCF of Numerators as per given numbers 870/73, 706/49, 808/432 is

GCF of Numerators i.e. for 870,706,808 is 2

LCM of denominators i.e. for 73,49,432 is 1545264.

Thus, GCF of Fractions is 2/1545264.Finally, GCF of Fractions for 870/73, 706/49, 808/432 is 2/1545264.