Greatest Common Factor of 179/710, 3474/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 179/710, 3474/416

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 179/710,3474/416

Given fractions are 179/710,3474/416

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 179,3474

Greatest Common Factor of Numerators i.e. GCF of 179,3474 is 1 .

LCM of Denominators means LCM of 710,416 as per the given fractions.

LCM of 710,416 is 147680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 179,3474

GCF of Fractions 179/710,3474/416 is 1/147680

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

Greatest Common Factor of 179,3474 By Matching Biggest Common Factor Method

Greatest Common Factor of 179,3474 By Matching Biggest Common Factor Method

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Factors of 3474

List of positive integer factors of 3474 that divides 3474 without a remainder.

1,2,3,6,9,18,193,386,579,1158,1737,3474

Greatest Common Factor

We found the factors 179,3474 . The biggest common factor number is the GCF number.
So the greatest common factor 179,3474 is 1.

Lets's calculate LCM of 710,416

2 710, 416
355, 208

∴ So the LCM of the given numbers is 2 x 355 x 208 = 147680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147680

Therefore, the GCF of Fractions 179/710,3474/416 is 1/147680

Least Common Multiple of 710,416 with GCF Formula

Least Common Multiple of 710,416 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 710,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(710,416) = 2

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

GCF(710,416) x common factors =2 x 1 = 2

LCM(710,416) = ( 710 × 416 ) / 2

LCM(710,416) = 295360 / 2

LCM(710,416) = 147680


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 179/710, 3474/416

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 179/710, 3474/416?

Answer: GCF of Numerators as per given numbers 179/710, 3474/416 is

GCF of Numerators i.e. for 179,3474 is 1

LCM of denominators i.e. for 710,416 is 147680.

Thus, GCF of Fractions is 1/147680.Finally, GCF of Fractions for 179/710, 3474/416 is 1/147680.