Greatest Common Factor of 3478/912, 7065/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3478/912, 7065/572

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 3478/912,7065/572

Given fractions are 3478/912,7065/572

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 3478,7065

Greatest Common Factor of Numerators i.e. GCF of 3478,7065 is 1 .

LCM of Denominators means LCM of 912,572 as per the given fractions.

LCM of 912,572 is 130416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3478,7065

GCF of Fractions 3478/912,7065/572 is 1/130416

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

Greatest Common Factor of 3478,7065 By Matching Biggest Common Factor Method

Greatest Common Factor of 3478,7065 By Matching Biggest Common Factor Method

Factors of 3478

List of positive integer factors of 3478 that divides 3478 without a remainder.

1,2,37,47,74,94,1739,3478

Factors of 7065

List of positive integer factors of 7065 that divides 7065 without a remainder.

1,3,5,9,15,45,157,471,785,1413,2355,7065

Greatest Common Factor

We found the factors 3478,7065 . The biggest common factor number is the GCF number.
So the greatest common factor 3478,7065 is 1.

Lets's calculate LCM of 912,572

2 912, 572
2 456, 286
228, 143

∴ So the LCM of the given numbers is 2 x 2 x 228 x 143 = 130416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130416

Therefore, the GCF of Fractions 3478/912,7065/572 is 1/130416

Least Common Multiple of 912,572 with GCF Formula

Least Common Multiple of 912,572 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 912,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,572) = 4

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

GCF(912,572) x common factors =4 x 1 = 4

LCM(912,572) = ( 912 × 572 ) / 4

LCM(912,572) = 521664 / 4

LCM(912,572) = 130416


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 3478/912, 7065/572

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 3478/912, 7065/572?

Answer: GCF of Numerators as per given numbers 3478/912, 7065/572 is

GCF of Numerators i.e. for 3478,7065 is 1

LCM of denominators i.e. for 912,572 is 130416.

Thus, GCF of Fractions is 1/130416.Finally, GCF of Fractions for 3478/912, 7065/572 is 1/130416.