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GCF of 7351/57, 1671/622

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 7351/57, 1671/622 i.e 1/35454 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7351/57, 1671/622.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 7351/57,1671/622?

Given fractions are 7351/57,1671/622

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 7351/57,1671/622, numerators are 7351,1671

Denominators are 57,622

The GCF of 7351,1671 is 1 .

LCM of 57,622 is 35454.

The greatest common factor of 7351/57,1671/622 = [GCF of 7351,1671]/[LCM of 57,622]= 1/35454

Therefore, the GCF of 7351/57,1671/622 is 1/35454.

Greatest Common Factor of 7351,1671

To find the highest common factor of 7351,1671, we have to find the factors of both numbers and list the highest common factor.

The factors of 7351 are 1, 7351

The factors of 1671 are 1, 3, 557, 1671

The HCF of 7351,1671 is 1.

Lets's calculate GCF of 7351,1671

Greatest Common Factor (GCF) of 7351,1671 By Common Division

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

Greatest Common Factor of 7351,1671 By Matching Biggest Common Factor Method

Greatest Common Factor of 7351,1671 By Matching Biggest Common Factor Method

Now, list down the factors of 7351

:

1,7351

Now, list down the factors of 1671

:

1,3,557,1671

Greatest Common Factor

We found the factors 7351,1671 . The biggest common factor number is the GCF number.
So the greatest common factor 7351,1671 is 1.

Lets's calculate LCM of 57,622

Lowest Common Multiple of 57,622 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 35454

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35454

Therefore, the GCF of Fractions 7351/57,1671/622 is 1/35454

Least Common Multiple of 57,622 with GCF Formula

Least Common Multiple of 57,622 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 57,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,622) = 1

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

GCF(57,622) x common factors =1 x 1 = 1

LCM(57,622) = ( 57 × 622 ) / 1

LCM(57,622) = 35454 / 1

LCM(57,622) = 35454


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FAQs on GCF of Fractions of 7351/57, 1671/622

1. What is the HCF of 7351,1671?

The HCF of 7351,1671 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 7351/57, 1671/622?

Answer: GCF of Numerators as per given numbers 7351/57, 1671/622 is

GCF of Numerators i.e. for 7351,1671 is 1

LCM of denominators i.e. for 57,622 is 35454.

Thus, GCF of Fractions is 1/35454.Finally, GCF of Fractions for 7351/57, 1671/622 is 1/35454.