Greatest Common Factor of 2935/732, 4070/8356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2935/732, 4070/8356

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 2935/732,4070/8356

Given fractions are 2935/732,4070/8356

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 2935,4070

Greatest Common Factor of Numerators i.e. GCF of 2935,4070 is 5 .

LCM of Denominators means LCM of 732,8356 as per the given fractions.

LCM of 732,8356 is 1529148 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2935,4070

GCF of Fractions 2935/732,4070/8356 is 5/1529148

5 2935, 4070
587, 814

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2935,4070 By Matching Biggest Common Factor Method

Greatest Common Factor of 2935,4070 By Matching Biggest Common Factor Method

Factors of 2935

List of positive integer factors of 2935 that divides 2935 without a remainder.

1,5,587,2935

Factors of 4070

List of positive integer factors of 4070 that divides 4070 without a remainder.

1,2,5,10,11,22,37,55,74,110,185,370,407,814,2035,4070

Greatest Common Factor

We found the factors 2935,4070 . The biggest common factor number is the GCF number.
So the greatest common factor 2935,4070 is 5.

Lets's calculate LCM of 732,8356

2 732, 8356
2 366, 4178
183, 2089

∴ So the LCM of the given numbers is 2 x 2 x 183 x 2089 = 1529148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1529148

Therefore, the GCF of Fractions 2935/732,4070/8356 is 5/1529148

Least Common Multiple of 732,8356 with GCF Formula

Least Common Multiple of 732,8356 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 732,8356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,8356) = 4

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

GCF(732,8356) x common factors =4 x 1 = 4

LCM(732,8356) = ( 732 × 8356 ) / 4

LCM(732,8356) = 6116592 / 4

LCM(732,8356) = 1529148


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 2935/732, 4070/8356

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 2935/732, 4070/8356?

Answer: GCF of Numerators as per given numbers 2935/732, 4070/8356 is

GCF of Numerators i.e. for 2935,4070 is 5

LCM of denominators i.e. for 732,8356 is 1529148.

Thus, GCF of Fractions is 5/1529148.Finally, GCF of Fractions for 2935/732, 4070/8356 is 5/1529148.