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GCF of 3727/609, 9341/376

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 3727/609, 9341/376 i.e 1/228984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3727/609, 9341/376.

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 3727/609,9341/376?

Given fractions are 3727/609,9341/376

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 3727/609,9341/376, numerators are 3727,9341

Denominators are 609,376

The GCF of 3727,9341 is 1 .

LCM of 609,376 is 228984.

The greatest common factor of 3727/609,9341/376 = [GCF of 3727,9341]/[LCM of 609,376]= 1/228984

Therefore, the GCF of 3727/609,9341/376 is 1/228984.

Greatest Common Factor of 3727,9341

To find the highest common factor of 3727,9341, we have to find the factors of both numbers and list the highest common factor.

The factors of 3727 are 1, 3727

The factors of 9341 are 1, 9341

The HCF of 3727,9341 is 1.

Lets's calculate GCF of 3727,9341

Greatest Common Factor (GCF) of 3727,9341 By Common Division

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

Greatest Common Factor of 3727,9341 By Matching Biggest Common Factor Method

Greatest Common Factor of 3727,9341 By Matching Biggest Common Factor Method

Now, list down the factors of 3727

:

1,3727

Now, list down the factors of 9341

:

1,9341

Greatest Common Factor

We found the factors 3727,9341 . The biggest common factor number is the GCF number.
So the greatest common factor 3727,9341 is 1.

Lets's calculate LCM of 609,376

Lowest Common Multiple of 609,376 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 228984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/228984

Therefore, the GCF of Fractions 3727/609,9341/376 is 1/228984

Least Common Multiple of 609,376 with GCF Formula

Least Common Multiple of 609,376 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 609,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(609,376) = 1

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

GCF(609,376) x common factors =1 x 1 = 1

LCM(609,376) = ( 609 × 376 ) / 1

LCM(609,376) = 228984 / 1

LCM(609,376) = 228984


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FAQs on GCF of Fractions of 3727/609, 9341/376

1. What is the HCF of 3727,9341?

The HCF of 3727,9341 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 3727/609, 9341/376?

Answer: GCF of Numerators as per given numbers 3727/609, 9341/376 is

GCF of Numerators i.e. for 3727,9341 is 1

LCM of denominators i.e. for 609,376 is 228984.

Thus, GCF of Fractions is 1/228984.Finally, GCF of Fractions for 3727/609, 9341/376 is 1/228984.