Greatest Common Factor of 4567/347, 7816/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4567/347, 7816/355

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 4567/347,7816/355

Given fractions are 4567/347,7816/355

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 4567,7816

Greatest Common Factor of Numerators i.e. GCF of 4567,7816 is 1 .

LCM of Denominators means LCM of 347,355 as per the given fractions.

LCM of 347,355 is 123185 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4567,7816

GCF of Fractions 4567/347,7816/355 is 1/123185

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

Greatest Common Factor of 4567,7816 By Matching Biggest Common Factor Method

Greatest Common Factor of 4567,7816 By Matching Biggest Common Factor Method

Factors of 4567

List of positive integer factors of 4567 that divides 4567 without a remainder.

1,4567

Factors of 7816

List of positive integer factors of 7816 that divides 7816 without a remainder.

1,2,4,8,977,1954,3908,7816

Greatest Common Factor

We found the factors 4567,7816 . The biggest common factor number is the GCF number.
So the greatest common factor 4567,7816 is 1.

Lets's calculate LCM of 347,355

Given numbers has no common factors except 1. So, there LCM is their product i.e 123185

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123185

Therefore, the GCF of Fractions 4567/347,7816/355 is 1/123185

Least Common Multiple of 347,355 with GCF Formula

Least Common Multiple of 347,355 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 347,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(347,355) = 1

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

GCF(347,355) x common factors =1 x 1 = 1

LCM(347,355) = ( 347 × 355 ) / 1

LCM(347,355) = 123185 / 1

LCM(347,355) = 123185


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 4567/347, 7816/355

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 4567/347, 7816/355?

Answer: GCF of Numerators as per given numbers 4567/347, 7816/355 is

GCF of Numerators i.e. for 4567,7816 is 1

LCM of denominators i.e. for 347,355 is 123185.

Thus, GCF of Fractions is 1/123185.Finally, GCF of Fractions for 4567/347, 7816/355 is 1/123185.