Greatest Common Factor of 3464/22, 5440/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3464/22, 5440/625

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 3464/22,5440/625

Given fractions are 3464/22,5440/625

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 3464,5440

Greatest Common Factor of Numerators i.e. GCF of 3464,5440 is 8 .

LCM of Denominators means LCM of 22,625 as per the given fractions.

LCM of 22,625 is 13750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3464,5440

GCF of Fractions 3464/22,5440/625 is 8/13750

2 3464, 5440
2 1732, 2720
2 866, 1360
433, 680

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 3464,5440 By Matching Biggest Common Factor Method

Greatest Common Factor of 3464,5440 By Matching Biggest Common Factor Method

Factors of 3464

List of positive integer factors of 3464 that divides 3464 without a remainder.

1,2,4,8,433,866,1732,3464

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

Greatest Common Factor

We found the factors 3464,5440 . The biggest common factor number is the GCF number.
So the greatest common factor 3464,5440 is 8.

Lets's calculate LCM of 22,625

Given numbers has no common factors except 1. So, there LCM is their product i.e 13750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/13750

Therefore, the GCF of Fractions 3464/22,5440/625 is 8/13750

Least Common Multiple of 22,625 with GCF Formula

Least Common Multiple of 22,625 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 22,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,625) = 1

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

GCF(22,625) x common factors =1 x 1 = 1

LCM(22,625) = ( 22 × 625 ) / 1

LCM(22,625) = 13750 / 1

LCM(22,625) = 13750


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 3464/22, 5440/625

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 3464/22, 5440/625?

Answer: GCF of Numerators as per given numbers 3464/22, 5440/625 is

GCF of Numerators i.e. for 3464,5440 is 8

LCM of denominators i.e. for 22,625 is 13750.

Thus, GCF of Fractions is 8/13750.Finally, GCF of Fractions for 3464/22, 5440/625 is 8/13750.