Greatest Common Factor of 1950/563, 9054/4265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1950/563, 9054/4265

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 1950/563,9054/4265

Given fractions are 1950/563,9054/4265

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 1950,9054

Greatest Common Factor of Numerators i.e. GCF of 1950,9054 is 6 .

LCM of Denominators means LCM of 563,4265 as per the given fractions.

LCM of 563,4265 is 2401195 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1950,9054

GCF of Fractions 1950/563,9054/4265 is 6/2401195

2 1950, 9054
3 975, 4527
325, 1509

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 1950,9054 By Matching Biggest Common Factor Method

Greatest Common Factor of 1950,9054 By Matching Biggest Common Factor Method

Factors of 1950

List of positive integer factors of 1950 that divides 1950 without a remainder.

1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,130,150,195,325,390,650,975,1950

Factors of 9054

List of positive integer factors of 9054 that divides 9054 without a remainder.

1,2,3,6,9,18,503,1006,1509,3018,4527,9054

Greatest Common Factor

We found the factors 1950,9054 . The biggest common factor number is the GCF number.
So the greatest common factor 1950,9054 is 6.

Lets's calculate LCM of 563,4265

Given numbers has no common factors except 1. So, there LCM is their product i.e 2401195

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2401195

Therefore, the GCF of Fractions 1950/563,9054/4265 is 6/2401195

Least Common Multiple of 563,4265 with GCF Formula

Least Common Multiple of 563,4265 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 563,4265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(563,4265) = 1

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

GCF(563,4265) x common factors =1 x 1 = 1

LCM(563,4265) = ( 563 × 4265 ) / 1

LCM(563,4265) = 2401195 / 1

LCM(563,4265) = 2401195


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 1950/563, 9054/4265

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 1950/563, 9054/4265?

Answer: GCF of Numerators as per given numbers 1950/563, 9054/4265 is

GCF of Numerators i.e. for 1950,9054 is 6

LCM of denominators i.e. for 563,4265 is 2401195.

Thus, GCF of Fractions is 6/2401195.Finally, GCF of Fractions for 1950/563, 9054/4265 is 6/2401195.