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GCF of 372/32, 613/2362

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 372/32, 613/2362 i.e 1/37792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 372/32, 613/2362.

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 372/32,613/2362?

Given fractions are 372/32,613/2362

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 372/32,613/2362, numerators are 372,613

Denominators are 32,2362

The GCF of 372,613 is 1 .

LCM of 32,2362 is 37792.

The greatest common factor of 372/32,613/2362 = [GCF of 372,613]/[LCM of 32,2362]= 1/37792

Therefore, the GCF of 372/32,613/2362 is 1/37792.

Greatest Common Factor of 372,613

To find the highest common factor of 372,613, we have to find the factors of both numbers and list the highest common factor.

The factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

The factors of 613 are 1, 613

The HCF of 372,613 is 1.

Lets's calculate GCF of 372,613

Greatest Common Factor (GCF) of 372,613 By Common Division

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

Greatest Common Factor of 372,613 By Matching Biggest Common Factor Method

Greatest Common Factor of 372,613 By Matching Biggest Common Factor Method

Now, list down the factors of 372

:

1,2,3,4,6,12,31,62,93,124,186,372

Now, list down the factors of 613

:

1,613

Greatest Common Factor

We found the factors 372,613 . The biggest common factor number is the GCF number.
So the greatest common factor 372,613 is 1.

Lets's calculate LCM of 32,2362

Lowest Common Multiple of 32,2362 using Common Division

2 32, 2362
16, 1181

∴ So the LCM of the given numbers is 2 x 16 x 1181 = 37792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37792

Therefore, the GCF of Fractions 372/32,613/2362 is 1/37792

Least Common Multiple of 32,2362 with GCF Formula

Least Common Multiple of 32,2362 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 32,2362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,2362) = 2

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

GCF(32,2362) x common factors =2 x 1 = 2

LCM(32,2362) = ( 32 × 2362 ) / 2

LCM(32,2362) = 75584 / 2

LCM(32,2362) = 37792


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FAQs on GCF of Fractions of 372/32, 613/2362

1. What is the HCF of 372,613?

The HCF of 372,613 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 372/32, 613/2362?

Answer: GCF of Numerators as per given numbers 372/32, 613/2362 is

GCF of Numerators i.e. for 372,613 is 1

LCM of denominators i.e. for 32,2362 is 37792.

Thus, GCF of Fractions is 1/37792.Finally, GCF of Fractions for 372/32, 613/2362 is 1/37792.