Greatest Common Factor of 2408/775, 1432/7693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2408/775, 1432/7693

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 2408/775,1432/7693

Given fractions are 2408/775,1432/7693

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 2408,1432

Greatest Common Factor of Numerators i.e. GCF of 2408,1432 is 8 .

LCM of Denominators means LCM of 775,7693 as per the given fractions.

LCM of 775,7693 is 5962075 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2408,1432

GCF of Fractions 2408/775,1432/7693 is 8/5962075

2 2408, 1432
2 1204, 716
2 602, 358
301, 179

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 2408,1432 By Matching Biggest Common Factor Method

Greatest Common Factor of 2408,1432 By Matching Biggest Common Factor Method

Factors of 2408

List of positive integer factors of 2408 that divides 2408 without a remainder.

1,2,4,7,8,14,28,43,56,86,172,301,344,602,1204,2408

Factors of 1432

List of positive integer factors of 1432 that divides 1432 without a remainder.

1,2,4,8,179,358,716,1432

Greatest Common Factor

We found the factors 2408,1432 . The biggest common factor number is the GCF number.
So the greatest common factor 2408,1432 is 8.

Lets's calculate LCM of 775,7693

Given numbers has no common factors except 1. So, there LCM is their product i.e 5962075

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/5962075

Therefore, the GCF of Fractions 2408/775,1432/7693 is 8/5962075

Least Common Multiple of 775,7693 with GCF Formula

Least Common Multiple of 775,7693 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 775,7693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,7693) = 1

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

GCF(775,7693) x common factors =1 x 1 = 1

LCM(775,7693) = ( 775 × 7693 ) / 1

LCM(775,7693) = 5962075 / 1

LCM(775,7693) = 5962075


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 2408/775, 1432/7693

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 2408/775, 1432/7693?

Answer: GCF of Numerators as per given numbers 2408/775, 1432/7693 is

GCF of Numerators i.e. for 2408,1432 is 8

LCM of denominators i.e. for 775,7693 is 5962075.

Thus, GCF of Fractions is 8/5962075.Finally, GCF of Fractions for 2408/775, 1432/7693 is 8/5962075.