How to Find GCF of 4451/731, 6632/8456?

GCF of 4451/731, 6632/8456

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 4451/731, 6632/8456 i.e 1/6181336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4451/731, 6632/8456.

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 4451/731,6632/8456?

Given fractions are 4451/731,6632/8456

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 4451/731,6632/8456, numerators are 4451,6632

Denominators are 731,8456

The GCF of 4451,6632 is 1 .

LCM of 731,8456 is 6181336.

The greatest common factor of 4451/731,6632/8456 = [GCF of 4451,6632]/[LCM of 731,8456]= 1/6181336

Therefore, the GCF of 4451/731,6632/8456 is 1/6181336.

Greatest Common Factor of 4451,6632

To find the highest common factor of 4451,6632, we have to find the factors of both numbers and list the highest common factor.

The factors of 4451 are 1, 4451

The factors of 6632 are 1, 2, 4, 8, 829, 1658, 3316, 6632

The HCF of 4451,6632 is 1.

Lets's calculate GCF of 4451,6632

Greatest Common Factor (GCF) of 4451,6632 By Common Division

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

Greatest Common Factor of 4451,6632 By Matching Biggest Common Factor Method

Now, list down the factors of 4451

1,4451

Now, list down the factors of 6632

1,2,4,8,829,1658,3316,6632

Greatest Common Factor

We found the factors 4451,6632 . The biggest common factor number is the GCF number.
So the greatest common factor 4451,6632 is 1.

Lets's calculate LCM of 731,8456

Lowest Common Multiple of 731,8456 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6181336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6181336

Therefore, the GCF of Fractions 4451/731,6632/8456 is 1/6181336

Least Common Multiple of 731,8456 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 731,8456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,8456) = 1

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

GCF(731,8456) x common factors =1 x 1 = 1

LCM(731,8456) = ( 731 × 8456 ) / 1

LCM(731,8456) = 6181336 / 1

LCM(731,8456) = 6181336

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FAQs on GCF of Fractions of 4451/731, 6632/8456

1. What is the HCF of 4451,6632?

The HCF of 4451,6632 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 4451/731, 6632/8456?

Answer: GCF of Numerators as per given numbers 4451/731, 6632/8456 is

GCF of Numerators i.e. for 4451,6632 is 1

LCM of denominators i.e. for 731,8456 is 6181336.

Thus, GCF of Fractions is 1/6181336.Finally, GCF of Fractions for 4451/731, 6632/8456 is 1/6181336.