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GCF of 327/749, 8627/954

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 327/749, 8627/954 i.e 1/714546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 327/749, 8627/954.

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 327/749,8627/954?

Given fractions are 327/749,8627/954

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 327/749,8627/954, numerators are 327,8627

Denominators are 749,954

The GCF of 327,8627 is 1 .

LCM of 749,954 is 714546.

The greatest common factor of 327/749,8627/954 = [GCF of 327,8627]/[LCM of 749,954]= 1/714546

Therefore, the GCF of 327/749,8627/954 is 1/714546.

Greatest Common Factor of 327,8627

To find the highest common factor of 327,8627, we have to find the factors of both numbers and list the highest common factor.

The factors of 327 are 1, 3, 109, 327

The factors of 8627 are 1, 8627

The HCF of 327,8627 is 1.

Lets's calculate GCF of 327,8627

Greatest Common Factor (GCF) of 327,8627 By Common Division

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

Greatest Common Factor of 327,8627 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,8627 By Matching Biggest Common Factor Method

Now, list down the factors of 327

:

1,3,109,327

Now, list down the factors of 8627

:

1,8627

Greatest Common Factor

We found the factors 327,8627 . The biggest common factor number is the GCF number.
So the greatest common factor 327,8627 is 1.

Lets's calculate LCM of 749,954

Lowest Common Multiple of 749,954 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 714546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/714546

Therefore, the GCF of Fractions 327/749,8627/954 is 1/714546

Least Common Multiple of 749,954 with GCF Formula

Least Common Multiple of 749,954 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 749,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,954) = 1

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

GCF(749,954) x common factors =1 x 1 = 1

LCM(749,954) = ( 749 × 954 ) / 1

LCM(749,954) = 714546 / 1

LCM(749,954) = 714546


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FAQs on GCF of Fractions of 327/749, 8627/954

1. What is the HCF of 327,8627?

The HCF of 327,8627 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 327/749, 8627/954?

Answer: GCF of Numerators as per given numbers 327/749, 8627/954 is

GCF of Numerators i.e. for 327,8627 is 1

LCM of denominators i.e. for 749,954 is 714546.

Thus, GCF of Fractions is 1/714546.Finally, GCF of Fractions for 327/749, 8627/954 is 1/714546.