Greatest Common Factor of 1760/471, 4932/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1760/471, 4932/318

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 1760/471,4932/318

Given fractions are 1760/471,4932/318

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 1760,4932

Greatest Common Factor of Numerators i.e. GCF of 1760,4932 is 4 .

LCM of Denominators means LCM of 471,318 as per the given fractions.

LCM of 471,318 is 49926 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1760,4932

GCF of Fractions 1760/471,4932/318 is 4/49926

2 1760, 4932
2 880, 2466
440, 1233

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1760,4932 By Matching Biggest Common Factor Method

Greatest Common Factor of 1760,4932 By Matching Biggest Common Factor Method

Factors of 1760

List of positive integer factors of 1760 that divides 1760 without a remainder.

1,2,4,5,8,10,11,16,20,22,32,40,44,55,80,88,110,160,176,220,352,440,880,1760

Factors of 4932

List of positive integer factors of 4932 that divides 4932 without a remainder.

1,2,3,4,6,9,12,18,36,137,274,411,548,822,1233,1644,2466,4932

Greatest Common Factor

We found the factors 1760,4932 . The biggest common factor number is the GCF number.
So the greatest common factor 1760,4932 is 4.

Lets's calculate LCM of 471,318

3 471, 318
157, 106

∴ So the LCM of the given numbers is 3 x 157 x 106 = 49926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/49926

Therefore, the GCF of Fractions 1760/471,4932/318 is 4/49926

Least Common Multiple of 471,318 with GCF Formula

Least Common Multiple of 471,318 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 471,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(471,318) = 3

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

GCF(471,318) x common factors =3 x 1 = 3

LCM(471,318) = ( 471 × 318 ) / 3

LCM(471,318) = 149778 / 3

LCM(471,318) = 49926


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 1760/471, 4932/318

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 1760/471, 4932/318?

Answer: GCF of Numerators as per given numbers 1760/471, 4932/318 is

GCF of Numerators i.e. for 1760,4932 is 4

LCM of denominators i.e. for 471,318 is 49926.

Thus, GCF of Fractions is 4/49926.Finally, GCF of Fractions for 1760/471, 4932/318 is 4/49926.