Greatest Common Factor of 5168/364, 4635/7419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5168/364, 4635/7419

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 5168/364,4635/7419

Given fractions are 5168/364,4635/7419

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 5168,4635

Greatest Common Factor of Numerators i.e. GCF of 5168,4635 is 1 .

LCM of Denominators means LCM of 364,7419 as per the given fractions.

LCM of 364,7419 is 2700516 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5168,4635

GCF of Fractions 5168/364,4635/7419 is 1/2700516

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

Greatest Common Factor of 5168,4635 By Matching Biggest Common Factor Method

Greatest Common Factor of 5168,4635 By Matching Biggest Common Factor Method

Factors of 5168

List of positive integer factors of 5168 that divides 5168 without a remainder.

1,2,4,8,16,17,19,34,38,68,76,136,152,272,304,323,646,1292,2584,5168

Factors of 4635

List of positive integer factors of 4635 that divides 4635 without a remainder.

1,3,5,9,15,45,103,309,515,927,1545,4635

Greatest Common Factor

We found the factors 5168,4635 . The biggest common factor number is the GCF number.
So the greatest common factor 5168,4635 is 1.

Lets's calculate LCM of 364,7419

Given numbers has no common factors except 1. So, there LCM is their product i.e 2700516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2700516

Therefore, the GCF of Fractions 5168/364,4635/7419 is 1/2700516

Least Common Multiple of 364,7419 with GCF Formula

Least Common Multiple of 364,7419 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 364,7419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,7419) = 1

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

GCF(364,7419) x common factors =1 x 1 = 1

LCM(364,7419) = ( 364 × 7419 ) / 1

LCM(364,7419) = 2700516 / 1

LCM(364,7419) = 2700516


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 5168/364, 4635/7419

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 5168/364, 4635/7419?

Answer: GCF of Numerators as per given numbers 5168/364, 4635/7419 is

GCF of Numerators i.e. for 5168,4635 is 1

LCM of denominators i.e. for 364,7419 is 2700516.

Thus, GCF of Fractions is 1/2700516.Finally, GCF of Fractions for 5168/364, 4635/7419 is 1/2700516.