Greatest Common Factor of 4369/456, 7145/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4369/456, 7145/398

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 4369/456,7145/398

Given fractions are 4369/456,7145/398

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 4369,7145

Greatest Common Factor of Numerators i.e. GCF of 4369,7145 is 1 .

LCM of Denominators means LCM of 456,398 as per the given fractions.

LCM of 456,398 is 90744 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4369,7145

GCF of Fractions 4369/456,7145/398 is 1/90744

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4369,7145 By Matching Biggest Common Factor Method

Greatest Common Factor of 4369,7145 By Matching Biggest Common Factor Method

Factors of 4369

List of positive integer factors of 4369 that divides 4369 without a remainder.

1,17,257,4369

Factors of 7145

List of positive integer factors of 7145 that divides 7145 without a remainder.

1,5,1429,7145

Greatest Common Factor

We found the factors 4369,7145 . The biggest common factor number is the GCF number.
So the greatest common factor 4369,7145 is 1.

Lets's calculate LCM of 456,398

2 456, 398
228, 199

∴ So the LCM of the given numbers is 2 x 228 x 199 = 90744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90744

Therefore, the GCF of Fractions 4369/456,7145/398 is 1/90744

Least Common Multiple of 456,398 with GCF Formula

Least Common Multiple of 456,398 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 456,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,398) = 2

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

GCF(456,398) x common factors =2 x 1 = 2

LCM(456,398) = ( 456 × 398 ) / 2

LCM(456,398) = 181488 / 2

LCM(456,398) = 90744


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 4369/456, 7145/398

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 4369/456, 7145/398?

Answer: GCF of Numerators as per given numbers 4369/456, 7145/398 is

GCF of Numerators i.e. for 4369,7145 is 1

LCM of denominators i.e. for 456,398 is 90744.

Thus, GCF of Fractions is 1/90744.Finally, GCF of Fractions for 4369/456, 7145/398 is 1/90744.