How to Find GCF of 18/50, 647/96, 961/968?

GCF of 18/50, 647/96, 961/968

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 18/50, 647/96, 961/968 i.e 1/290400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/50, 647/96, 961/968.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 18/50,647/96,961/968?

Given fractions are 18/50,647/96,961/968

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 18/50,647/96,961/968, numerators are 18,647,961

Denominators are 50,96,968

The GCF of 18,647,961 is 1 .

LCM of 50,96,968 is 290400.

The greatest common factor of 18/50,647/96,961/968 = [GCF of 18,647,961]/[LCM of 50,96,968]= 1/290400

Therefore, the GCF of 18/50,647/96,961/968 is 1/290400.

Greatest Common Factor of 18,647,961

To find the highest common factor of 18,647,961, we have to find the factors of both numbers and list the highest common factor.

The factors of 18 are 1, 2, 3, 6, 9, 18

The factors of 647 are 1, 647

The factors of 961 are 1, 31, 961

The HCF of 18,647,961 is 1.

Lets's calculate GCF of 18,647,961

Greatest Common Factor (GCF) of 18,647,961 By Common Division

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

Greatest Common Factor of 18,647,961 By Matching Biggest Common Factor Method

Now, list down the factors of 18

1,2,3,6,9,18

Now, list down the factors of 647

1,647

Now, list down the factors of 961

1,31,961

Greatest Common Factor

We found the factors 18,647,961 . The biggest common factor number is the GCF number.
So the greatest common factor 18,647,961 is 1.

Lets's calculate LCM of 50,96,968

Lowest Common Multiple of 50,96,968 using Common Division

2	50, 96, 968
2	25, 48, 484
2	25, 24, 242
	25, 12, 121

∴ So the LCM of the given numbers is 2 x 2 x 2 x 25 x 12 x 121 = 290400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/290400

Therefore, the GCF of Fractions 18/50,647/96,961/968 is 1/290400

Least Common Multiple of 50,96,968 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 50,96,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,96,968) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(50,96,968) x common factors =2 x 8 = 16

LCM(50,96,968) = ( 50 × 96 × 968 ) / 16

LCM(50,96,968) = 4646400 / 16

LCM(50,96,968) = 290400

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 18/50, 647/96, 961/968

1. What is the HCF of 18,647,961?

The HCF of 18,647,961 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 18/50, 647/96, 961/968?

Answer: GCF of Numerators as per given numbers 18/50, 647/96, 961/968 is

GCF of Numerators i.e. for 18,647,961 is 1

LCM of denominators i.e. for 50,96,968 is 290400.

Thus, GCF of Fractions is 1/290400.Finally, GCF of Fractions for 18/50, 647/96, 961/968 is 1/290400.