Greatest Common Factor of 4345/680, 7468/1012

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4345/680, 7468/1012

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 4345/680,7468/1012

Given fractions are 4345/680,7468/1012

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 4345,7468

Greatest Common Factor of Numerators i.e. GCF of 4345,7468 is 1 .

LCM of Denominators means LCM of 680,1012 as per the given fractions.

LCM of 680,1012 is 172040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4345,7468

GCF of Fractions 4345/680,7468/1012 is 1/172040

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

Greatest Common Factor of 4345,7468 By Matching Biggest Common Factor Method

Greatest Common Factor of 4345,7468 By Matching Biggest Common Factor Method

Factors of 4345

List of positive integer factors of 4345 that divides 4345 without a remainder.

1,5,11,55,79,395,869,4345

Factors of 7468

List of positive integer factors of 7468 that divides 7468 without a remainder.

1,2,4,1867,3734,7468

Greatest Common Factor

We found the factors 4345,7468 . The biggest common factor number is the GCF number.
So the greatest common factor 4345,7468 is 1.

Lets's calculate LCM of 680,1012

2 680, 1012
2 340, 506
170, 253

∴ So the LCM of the given numbers is 2 x 2 x 170 x 253 = 172040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/172040

Therefore, the GCF of Fractions 4345/680,7468/1012 is 1/172040

Least Common Multiple of 680,1012 with GCF Formula

Least Common Multiple of 680,1012 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 680,1012 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,1012) = 4

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

GCF(680,1012) x common factors =4 x 1 = 4

LCM(680,1012) = ( 680 × 1012 ) / 4

LCM(680,1012) = 688160 / 4

LCM(680,1012) = 172040


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 4345/680, 7468/1012

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 4345/680, 7468/1012?

Answer: GCF of Numerators as per given numbers 4345/680, 7468/1012 is

GCF of Numerators i.e. for 4345,7468 is 1

LCM of denominators i.e. for 680,1012 is 172040.

Thus, GCF of Fractions is 1/172040.Finally, GCF of Fractions for 4345/680, 7468/1012 is 1/172040.