Greatest Common Factor of 753/79, 474/29, 705/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 753/79, 474/29, 705/416

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 753/79,474/29,705/416

Given fractions are 753/79,474/29,705/416

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 753,474,705

Greatest Common Factor of Numerators i.e. GCF of 753,474,705 is 3 .

LCM of Denominators means LCM of 79,29,416 as per the given fractions.

LCM of 79,29,416 is 953056 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 753,474,705

GCF of Fractions 753/79,474/29,705/416 is 3/953056

3 753, 474, 705
251, 158, 235

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

Greatest Common Factor of 753,474,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,474,705 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 753,474,705 . The biggest common factor number is the GCF number.
So the greatest common factor 753,474,705 is 3.

Lets's calculate LCM of 79,29,416

Given numbers has no common factors except 1. So, there LCM is their product i.e 953056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/953056

Therefore, the GCF of Fractions 753/79,474/29,705/416 is 3/953056

Least Common Multiple of 79,29,416 with GCF Formula

Least Common Multiple of 79,29,416 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 79,29,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,29,416) = 1

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

GCF(79,29,416) x common factors =1 x 1 = 1

LCM(79,29,416) = ( 79 × 29 × 416 ) / 1

LCM(79,29,416) = 953056 / 1

LCM(79,29,416) = 953056


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 753/79, 474/29, 705/416

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 753/79, 474/29, 705/416?

Answer: GCF of Numerators as per given numbers 753/79, 474/29, 705/416 is

GCF of Numerators i.e. for 753,474,705 is 3

LCM of denominators i.e. for 79,29,416 is 953056.

Thus, GCF of Fractions is 3/953056.Finally, GCF of Fractions for 753/79, 474/29, 705/416 is 3/953056.