How to Find GCF of 735/968, 5221/7634?

GCF of 735/968, 5221/7634

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 735/968, 5221/7634 i.e 1/335896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 735/968, 5221/7634.

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 735/968,5221/7634?

Given fractions are 735/968,5221/7634

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 735/968,5221/7634, numerators are 735,5221

Denominators are 968,7634

The GCF of 735,5221 is 1 .

LCM of 968,7634 is 335896.

The greatest common factor of 735/968,5221/7634 = [GCF of 735,5221]/[LCM of 968,7634]= 1/335896

Therefore, the GCF of 735/968,5221/7634 is 1/335896.

Greatest Common Factor of 735,5221

To find the highest common factor of 735,5221, we have to find the factors of both numbers and list the highest common factor.

The factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

The factors of 5221 are 1, 23, 227, 5221

The HCF of 735,5221 is 1.

Lets's calculate GCF of 735,5221

Greatest Common Factor (GCF) of 735,5221 By Common Division

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

Greatest Common Factor of 735,5221 By Matching Biggest Common Factor Method

Now, list down the factors of 735

1,3,5,7,15,21,35,49,105,147,245,735

Now, list down the factors of 5221

1,23,227,5221

Greatest Common Factor

We found the factors 735,5221 . The biggest common factor number is the GCF number.
So the greatest common factor 735,5221 is 1.

Lets's calculate LCM of 968,7634

Lowest Common Multiple of 968,7634 using Common Division

2	968, 7634
11	484, 3817
	44, 347

∴ So the LCM of the given numbers is 2 x 11 x 44 x 347 = 335896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/335896

Therefore, the GCF of Fractions 735/968,5221/7634 is 1/335896

Least Common Multiple of 968,7634 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 968,7634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,7634) = 22

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

GCF(968,7634) x common factors =22 x 1 = 22

LCM(968,7634) = ( 968 × 7634 ) / 22

LCM(968,7634) = 7389712 / 22

LCM(968,7634) = 335896

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FAQs on GCF of Fractions of 735/968, 5221/7634

1. What is the HCF of 735,5221?

The HCF of 735,5221 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 735/968, 5221/7634?

Answer: GCF of Numerators as per given numbers 735/968, 5221/7634 is

GCF of Numerators i.e. for 735,5221 is 1

LCM of denominators i.e. for 968,7634 is 335896.

Thus, GCF of Fractions is 1/335896.Finally, GCF of Fractions for 735/968, 5221/7634 is 1/335896.