Greatest Common Factor of 8334/464, 2525/3457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8334/464, 2525/3457

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 8334/464,2525/3457

Given fractions are 8334/464,2525/3457

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 8334,2525

Greatest Common Factor of Numerators i.e. GCF of 8334,2525 is 1 .

LCM of Denominators means LCM of 464,3457 as per the given fractions.

LCM of 464,3457 is 1604048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8334,2525

GCF of Fractions 8334/464,2525/3457 is 1/1604048

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

Greatest Common Factor of 8334,2525 By Matching Biggest Common Factor Method

Greatest Common Factor of 8334,2525 By Matching Biggest Common Factor Method

Factors of 8334

List of positive integer factors of 8334 that divides 8334 without a remainder.

1,2,3,6,9,18,463,926,1389,2778,4167,8334

Factors of 2525

List of positive integer factors of 2525 that divides 2525 without a remainder.

1,5,25,101,505,2525

Greatest Common Factor

We found the factors 8334,2525 . The biggest common factor number is the GCF number.
So the greatest common factor 8334,2525 is 1.

Lets's calculate LCM of 464,3457

Given numbers has no common factors except 1. So, there LCM is their product i.e 1604048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1604048

Therefore, the GCF of Fractions 8334/464,2525/3457 is 1/1604048

Least Common Multiple of 464,3457 with GCF Formula

Least Common Multiple of 464,3457 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 464,3457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,3457) = 1

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

GCF(464,3457) x common factors =1 x 1 = 1

LCM(464,3457) = ( 464 × 3457 ) / 1

LCM(464,3457) = 1604048 / 1

LCM(464,3457) = 1604048


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 8334/464, 2525/3457

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 8334/464, 2525/3457?

Answer: GCF of Numerators as per given numbers 8334/464, 2525/3457 is

GCF of Numerators i.e. for 8334,2525 is 1

LCM of denominators i.e. for 464,3457 is 1604048.

Thus, GCF of Fractions is 1/1604048.Finally, GCF of Fractions for 8334/464, 2525/3457 is 1/1604048.