How to Find GCF of 4967/631, 4400/9566?

GCF of 4967/631, 4400/9566

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 4967/631, 4400/9566 i.e 1/6036146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4967/631, 4400/9566.

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 4967/631,4400/9566?

Given fractions are 4967/631,4400/9566

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 4967/631,4400/9566, numerators are 4967,4400

Denominators are 631,9566

The GCF of 4967,4400 is 1 .

LCM of 631,9566 is 6036146.

The greatest common factor of 4967/631,4400/9566 = [GCF of 4967,4400]/[LCM of 631,9566]= 1/6036146

Therefore, the GCF of 4967/631,4400/9566 is 1/6036146.

Greatest Common Factor of 4967,4400

To find the highest common factor of 4967,4400, we have to find the factors of both numbers and list the highest common factor.

The factors of 4967 are 1, 4967

The factors of 4400 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200, 4400

The HCF of 4967,4400 is 1.

Lets's calculate GCF of 4967,4400

Greatest Common Factor (GCF) of 4967,4400 By Common Division

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

Greatest Common Factor of 4967,4400 By Matching Biggest Common Factor Method

Now, list down the factors of 4967

1,4967

Now, list down the factors of 4400

1,2,4,5,8,10,11,16,20,22,25,40,44,50,55,80,88,100,110,176,200,220,275,400,440,550,880,1100,2200,4400

Greatest Common Factor

We found the factors 4967,4400 . The biggest common factor number is the GCF number.
So the greatest common factor 4967,4400 is 1.

Lets's calculate LCM of 631,9566

Lowest Common Multiple of 631,9566 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6036146

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6036146

Therefore, the GCF of Fractions 4967/631,4400/9566 is 1/6036146

Least Common Multiple of 631,9566 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 631,9566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(631,9566) = 1

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

GCF(631,9566) x common factors =1 x 1 = 1

LCM(631,9566) = ( 631 × 9566 ) / 1

LCM(631,9566) = 6036146 / 1

LCM(631,9566) = 6036146

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4967/631, 4400/9566

1. What is the HCF of 4967,4400?

The HCF of 4967,4400 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 4967/631, 4400/9566?

Answer: GCF of Numerators as per given numbers 4967/631, 4400/9566 is

GCF of Numerators i.e. for 4967,4400 is 1

LCM of denominators i.e. for 631,9566 is 6036146.

Thus, GCF of Fractions is 1/6036146.Finally, GCF of Fractions for 4967/631, 4400/9566 is 1/6036146.