Greatest Common Factor of 851/616, 8234/347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 851/616, 8234/347

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 851/616,8234/347

Given fractions are 851/616,8234/347

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 851,8234

Greatest Common Factor of Numerators i.e. GCF of 851,8234 is 23 .

LCM of Denominators means LCM of 616,347 as per the given fractions.

LCM of 616,347 is 213752 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 851,8234

GCF of Fractions 851/616,8234/347 is 23/213752

23 851, 8234
37, 358

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 851,8234 By Matching Biggest Common Factor Method

Greatest Common Factor of 851,8234 By Matching Biggest Common Factor Method

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 8234

List of positive integer factors of 8234 that divides 8234 without a remainder.

1,2,23,46,179,358,4117,8234

Greatest Common Factor

We found the factors 851,8234 . The biggest common factor number is the GCF number.
So the greatest common factor 851,8234 is 23.

Lets's calculate LCM of 616,347

Given numbers has no common factors except 1. So, there LCM is their product i.e 213752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/213752

Therefore, the GCF of Fractions 851/616,8234/347 is 23/213752

Least Common Multiple of 616,347 with GCF Formula

Least Common Multiple of 616,347 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 616,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,347) = 1

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

GCF(616,347) x common factors =1 x 1 = 1

LCM(616,347) = ( 616 × 347 ) / 1

LCM(616,347) = 213752 / 1

LCM(616,347) = 213752


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 851/616, 8234/347

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 851/616, 8234/347?

Answer: GCF of Numerators as per given numbers 851/616, 8234/347 is

GCF of Numerators i.e. for 851,8234 is 23

LCM of denominators i.e. for 616,347 is 213752.

Thus, GCF of Fractions is 23/213752.Finally, GCF of Fractions for 851/616, 8234/347 is 23/213752.