Greatest Common Factor of 476/660, 705/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 476/660, 705/614

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 476/660,705/614

Given fractions are 476/660,705/614

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 476,705

Greatest Common Factor of Numerators i.e. GCF of 476,705 is 1 .

LCM of Denominators means LCM of 660,614 as per the given fractions.

LCM of 660,614 is 202620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 476,705

GCF of Fractions 476/660,705/614 is 1/202620

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

Greatest Common Factor of 476,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,705 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

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 476,705 . The biggest common factor number is the GCF number.
So the greatest common factor 476,705 is 1.

Lets's calculate LCM of 660,614

2 660, 614
330, 307

∴ So the LCM of the given numbers is 2 x 330 x 307 = 202620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/202620

Therefore, the GCF of Fractions 476/660,705/614 is 1/202620

Least Common Multiple of 660,614 with GCF Formula

Least Common Multiple of 660,614 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 660,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,614) = 2

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

GCF(660,614) x common factors =2 x 1 = 2

LCM(660,614) = ( 660 × 614 ) / 2

LCM(660,614) = 405240 / 2

LCM(660,614) = 202620


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 476/660, 705/614

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 476/660, 705/614?

Answer: GCF of Numerators as per given numbers 476/660, 705/614 is

GCF of Numerators i.e. for 476,705 is 1

LCM of denominators i.e. for 660,614 is 202620.

Thus, GCF of Fractions is 1/202620.Finally, GCF of Fractions for 476/660, 705/614 is 1/202620.