Greatest Common Factor of 3234/686, 1077/617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3234/686, 1077/617

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 3234/686,1077/617

Given fractions are 3234/686,1077/617

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 3234,1077

Greatest Common Factor of Numerators i.e. GCF of 3234,1077 is 3 .

LCM of Denominators means LCM of 686,617 as per the given fractions.

LCM of 686,617 is 423262 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3234,1077

GCF of Fractions 3234/686,1077/617 is 3/423262

3 3234, 1077
1078, 359

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3234,1077 By Matching Biggest Common Factor Method

Greatest Common Factor of 3234,1077 By Matching Biggest Common Factor Method

Factors of 3234

List of positive integer factors of 3234 that divides 3234 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,49,66,77,98,147,154,231,294,462,539,1078,1617,3234

Factors of 1077

List of positive integer factors of 1077 that divides 1077 without a remainder.

1,3,359,1077

Greatest Common Factor

We found the factors 3234,1077 . The biggest common factor number is the GCF number.
So the greatest common factor 3234,1077 is 3.

Lets's calculate LCM of 686,617

Given numbers has no common factors except 1. So, there LCM is their product i.e 423262

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/423262

Therefore, the GCF of Fractions 3234/686,1077/617 is 3/423262

Least Common Multiple of 686,617 with GCF Formula

Least Common Multiple of 686,617 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 686,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,617) = 1

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

GCF(686,617) x common factors =1 x 1 = 1

LCM(686,617) = ( 686 × 617 ) / 1

LCM(686,617) = 423262 / 1

LCM(686,617) = 423262


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 3234/686, 1077/617

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 3234/686, 1077/617?

Answer: GCF of Numerators as per given numbers 3234/686, 1077/617 is

GCF of Numerators i.e. for 3234,1077 is 3

LCM of denominators i.e. for 686,617 is 423262.

Thus, GCF of Fractions is 3/423262.Finally, GCF of Fractions for 3234/686, 1077/617 is 3/423262.