Greatest Common Factor of 5440/547, 3520/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5440/547, 3520/504

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 5440/547,3520/504

Given fractions are 5440/547,3520/504

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 5440,3520

Greatest Common Factor of Numerators i.e. GCF of 5440,3520 is 320 .

LCM of Denominators means LCM of 547,504 as per the given fractions.

LCM of 547,504 is 275688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5440,3520

GCF of Fractions 5440/547,3520/504 is 320/275688

2 5440, 3520
2 2720, 1760
2 1360, 880
2 680, 440
2 340, 220
2 170, 110
5 85, 55
17, 11

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 5 = 320

Greatest Common Factor of 5440,3520 By Matching Biggest Common Factor Method

Greatest Common Factor of 5440,3520 By Matching Biggest Common Factor Method

Factors of 5440

List of positive integer factors of 5440 that divides 5440 without a remainder.

1,2,4,5,8,10,16,17,20,32,34,40,64,68,80,85,136,160,170,272,320,340,544,680,1088,1360,2720,5440

Factors of 3520

List of positive integer factors of 3520 that divides 3520 without a remainder.

1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,160,176,220,320,352,440,704,880,1760,3520

Greatest Common Factor

We found the factors 5440,3520 . The biggest common factor number is the GCF number.
So the greatest common factor 5440,3520 is 320.

Lets's calculate LCM of 547,504

Given numbers has no common factors except 1. So, there LCM is their product i.e 275688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 320/275688

Therefore, the GCF of Fractions 5440/547,3520/504 is 320/275688

Least Common Multiple of 547,504 with GCF Formula

Least Common Multiple of 547,504 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 547,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(547,504) = 1

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

GCF(547,504) x common factors =1 x 1 = 1

LCM(547,504) = ( 547 × 504 ) / 1

LCM(547,504) = 275688 / 1

LCM(547,504) = 275688


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 5440/547, 3520/504

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 5440/547, 3520/504?

Answer: GCF of Numerators as per given numbers 5440/547, 3520/504 is

GCF of Numerators i.e. for 5440,3520 is 320

LCM of denominators i.e. for 547,504 is 275688.

Thus, GCF of Fractions is 320/275688.Finally, GCF of Fractions for 5440/547, 3520/504 is 320/275688.