Greatest Common Factor of 334/700, 861/305, 621/453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 334/700, 861/305, 621/453

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 334/700,861/305,621/453

Given fractions are 334/700,861/305,621/453

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 334,861,621

Greatest Common Factor of Numerators i.e. GCF of 334,861,621 is 1 .

LCM of Denominators means LCM of 700,305,453 as per the given fractions.

LCM of 700,305,453 is 19343100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 334,861,621

GCF of Fractions 334/700,861/305,621/453 is 1/19343100

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

Greatest Common Factor of 334,861,621 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,861,621 By Matching Biggest Common Factor Method

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Greatest Common Factor

We found the factors 334,861,621 . The biggest common factor number is the GCF number.
So the greatest common factor 334,861,621 is 1.

Lets's calculate LCM of 700,305,453

5 700, 305, 453
140, 61, 453

∴ So the LCM of the given numbers is 5 x 140 x 61 x 453 = 19343100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19343100

Therefore, the GCF of Fractions 334/700,861/305,621/453 is 1/19343100

Least Common Multiple of 700,305,453 with GCF Formula

Least Common Multiple of 700,305,453 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 700,305,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,305,453) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(700,305,453) x common factors =1 x 5 = 5

LCM(700,305,453) = ( 700 × 305 × 453 ) / 5

LCM(700,305,453) = 96715500 / 5

LCM(700,305,453) = 19343100


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 334/700, 861/305, 621/453

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 334/700, 861/305, 621/453?

Answer: GCF of Numerators as per given numbers 334/700, 861/305, 621/453 is

GCF of Numerators i.e. for 334,861,621 is 1

LCM of denominators i.e. for 700,305,453 is 19343100.

Thus, GCF of Fractions is 1/19343100.Finally, GCF of Fractions for 334/700, 861/305, 621/453 is 1/19343100.