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GCF of 7366/626, 1327/204

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 7366/626, 1327/204 i.e 1/63852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7366/626, 1327/204.

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 7366/626,1327/204?

Given fractions are 7366/626,1327/204

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 7366/626,1327/204, numerators are 7366,1327

Denominators are 626,204

The GCF of 7366,1327 is 1 .

LCM of 626,204 is 63852.

The greatest common factor of 7366/626,1327/204 = [GCF of 7366,1327]/[LCM of 626,204]= 1/63852

Therefore, the GCF of 7366/626,1327/204 is 1/63852.

Greatest Common Factor of 7366,1327

To find the highest common factor of 7366,1327, we have to find the factors of both numbers and list the highest common factor.

The factors of 7366 are 1, 2, 29, 58, 127, 254, 3683, 7366

The factors of 1327 are 1, 1327

The HCF of 7366,1327 is 1.

Lets's calculate GCF of 7366,1327

Greatest Common Factor (GCF) of 7366,1327 By Common Division

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

Greatest Common Factor of 7366,1327 By Matching Biggest Common Factor Method

Greatest Common Factor of 7366,1327 By Matching Biggest Common Factor Method

Now, list down the factors of 7366

:

1,2,29,58,127,254,3683,7366

Now, list down the factors of 1327

:

1,1327

Greatest Common Factor

We found the factors 7366,1327 . The biggest common factor number is the GCF number.
So the greatest common factor 7366,1327 is 1.

Lets's calculate LCM of 626,204

Lowest Common Multiple of 626,204 using Common Division

2 626, 204
313, 102

∴ So the LCM of the given numbers is 2 x 313 x 102 = 63852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63852

Therefore, the GCF of Fractions 7366/626,1327/204 is 1/63852

Least Common Multiple of 626,204 with GCF Formula

Least Common Multiple of 626,204 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 626,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(626,204) = 2

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

GCF(626,204) x common factors =2 x 1 = 2

LCM(626,204) = ( 626 × 204 ) / 2

LCM(626,204) = 127704 / 2

LCM(626,204) = 63852


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FAQs on GCF of Fractions of 7366/626, 1327/204

1. What is the HCF of 7366,1327?

The HCF of 7366,1327 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 7366/626, 1327/204?

Answer: GCF of Numerators as per given numbers 7366/626, 1327/204 is

GCF of Numerators i.e. for 7366,1327 is 1

LCM of denominators i.e. for 626,204 is 63852.

Thus, GCF of Fractions is 1/63852.Finally, GCF of Fractions for 7366/626, 1327/204 is 1/63852.