Greatest Common Factor of 4892/416, 1760/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4892/416, 1760/676

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 4892/416,1760/676

Given fractions are 4892/416,1760/676

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 4892,1760

Greatest Common Factor of Numerators i.e. GCF of 4892,1760 is 4 .

LCM of Denominators means LCM of 416,676 as per the given fractions.

LCM of 416,676 is 5408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4892,1760

GCF of Fractions 4892/416,1760/676 is 4/5408

2 4892, 1760
2 2446, 880
1223, 440

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

Greatest Common Factor of 4892,1760 By Matching Biggest Common Factor Method

Greatest Common Factor of 4892,1760 By Matching Biggest Common Factor Method

Factors of 4892

List of positive integer factors of 4892 that divides 4892 without a remainder.

1,2,4,1223,2446,4892

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

Greatest Common Factor

We found the factors 4892,1760 . The biggest common factor number is the GCF number.
So the greatest common factor 4892,1760 is 4.

Lets's calculate LCM of 416,676

2 416, 676
2 208, 338
13 104, 169
8, 13

∴ So the LCM of the given numbers is 2 x 2 x 13 x 8 x 13 = 5408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5408

Therefore, the GCF of Fractions 4892/416,1760/676 is 4/5408

Least Common Multiple of 416,676 with GCF Formula

Least Common Multiple of 416,676 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 416,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,676) = 52

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

GCF(416,676) x common factors =52 x 1 = 52

LCM(416,676) = ( 416 × 676 ) / 52

LCM(416,676) = 281216 / 52

LCM(416,676) = 5408


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 4892/416, 1760/676

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 4892/416, 1760/676?

Answer: GCF of Numerators as per given numbers 4892/416, 1760/676 is

GCF of Numerators i.e. for 4892,1760 is 4

LCM of denominators i.e. for 416,676 is 5408.

Thus, GCF of Fractions is 4/5408.Finally, GCF of Fractions for 4892/416, 1760/676 is 4/5408.