Greatest Common Factor of 1968/459, 5949/8525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1968/459, 5949/8525

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 1968/459,5949/8525

Given fractions are 1968/459,5949/8525

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 1968,5949

Greatest Common Factor of Numerators i.e. GCF of 1968,5949 is 3 .

LCM of Denominators means LCM of 459,8525 as per the given fractions.

LCM of 459,8525 is 3912975 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1968,5949

GCF of Fractions 1968/459,5949/8525 is 3/3912975

3 1968, 5949
656, 1983

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1968,5949 By Matching Biggest Common Factor Method

Greatest Common Factor of 1968,5949 By Matching Biggest Common Factor Method

Factors of 1968

List of positive integer factors of 1968 that divides 1968 without a remainder.

1,2,3,4,6,8,12,16,24,41,48,82,123,164,246,328,492,656,984,1968

Factors of 5949

List of positive integer factors of 5949 that divides 5949 without a remainder.

1,3,9,661,1983,5949

Greatest Common Factor

We found the factors 1968,5949 . The biggest common factor number is the GCF number.
So the greatest common factor 1968,5949 is 3.

Lets's calculate LCM of 459,8525

Given numbers has no common factors except 1. So, there LCM is their product i.e 3912975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3912975

Therefore, the GCF of Fractions 1968/459,5949/8525 is 3/3912975

Least Common Multiple of 459,8525 with GCF Formula

Least Common Multiple of 459,8525 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 459,8525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,8525) = 1

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

GCF(459,8525) x common factors =1 x 1 = 1

LCM(459,8525) = ( 459 × 8525 ) / 1

LCM(459,8525) = 3912975 / 1

LCM(459,8525) = 3912975


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 1968/459, 5949/8525

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 1968/459, 5949/8525?

Answer: GCF of Numerators as per given numbers 1968/459, 5949/8525 is

GCF of Numerators i.e. for 1968,5949 is 3

LCM of denominators i.e. for 459,8525 is 3912975.

Thus, GCF of Fractions is 3/3912975.Finally, GCF of Fractions for 1968/459, 5949/8525 is 3/3912975.