Greatest Common Factor of 4010/310, 9596/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4010/310, 9596/432

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 4010/310,9596/432

Given fractions are 4010/310,9596/432

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 4010,9596

Greatest Common Factor of Numerators i.e. GCF of 4010,9596 is 2 .

LCM of Denominators means LCM of 310,432 as per the given fractions.

LCM of 310,432 is 66960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4010,9596

GCF of Fractions 4010/310,9596/432 is 2/66960

2 4010, 9596
2005, 4798

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

Greatest Common Factor of 4010,9596 By Matching Biggest Common Factor Method

Greatest Common Factor of 4010,9596 By Matching Biggest Common Factor Method

Factors of 4010

List of positive integer factors of 4010 that divides 4010 without a remainder.

1,2,5,10,401,802,2005,4010

Factors of 9596

List of positive integer factors of 9596 that divides 9596 without a remainder.

1,2,4,2399,4798,9596

Greatest Common Factor

We found the factors 4010,9596 . The biggest common factor number is the GCF number.
So the greatest common factor 4010,9596 is 2.

Lets's calculate LCM of 310,432

2 310, 432
155, 216

∴ So the LCM of the given numbers is 2 x 155 x 216 = 66960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/66960

Therefore, the GCF of Fractions 4010/310,9596/432 is 2/66960

Least Common Multiple of 310,432 with GCF Formula

Least Common Multiple of 310,432 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 310,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,432) = 2

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

GCF(310,432) x common factors =2 x 1 = 2

LCM(310,432) = ( 310 × 432 ) / 2

LCM(310,432) = 133920 / 2

LCM(310,432) = 66960


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 4010/310, 9596/432

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 4010/310, 9596/432?

Answer: GCF of Numerators as per given numbers 4010/310, 9596/432 is

GCF of Numerators i.e. for 4010,9596 is 2

LCM of denominators i.e. for 310,432 is 66960.

Thus, GCF of Fractions is 2/66960.Finally, GCF of Fractions for 4010/310, 9596/432 is 2/66960.