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GCF of 617/976, 205/738

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 617/976, 205/738 i.e 1/360144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 617/976, 205/738.

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 617/976,205/738?

Given fractions are 617/976,205/738

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 617/976,205/738, numerators are 617,205

Denominators are 976,738

The GCF of 617,205 is 1 .

LCM of 976,738 is 360144.

The greatest common factor of 617/976,205/738 = [GCF of 617,205]/[LCM of 976,738]= 1/360144

Therefore, the GCF of 617/976,205/738 is 1/360144.

Greatest Common Factor of 617,205

To find the highest common factor of 617,205, we have to find the factors of both numbers and list the highest common factor.

The factors of 617 are 1, 617

The factors of 205 are 1, 5, 41, 205

The HCF of 617,205 is 1.

Lets's calculate GCF of 617,205

Greatest Common Factor (GCF) of 617,205 By Common Division

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

Greatest Common Factor of 617,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,205 By Matching Biggest Common Factor Method

Now, list down the factors of 617

:

1,617

Now, list down the factors of 205

:

1,5,41,205

Greatest Common Factor

We found the factors 617,205 . The biggest common factor number is the GCF number.
So the greatest common factor 617,205 is 1.

Lets's calculate LCM of 976,738

Lowest Common Multiple of 976,738 using Common Division

2 976, 738
488, 369

∴ So the LCM of the given numbers is 2 x 488 x 369 = 360144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/360144

Therefore, the GCF of Fractions 617/976,205/738 is 1/360144

Least Common Multiple of 976,738 with GCF Formula

Least Common Multiple of 976,738 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 976,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,738) = 2

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

GCF(976,738) x common factors =2 x 1 = 2

LCM(976,738) = ( 976 × 738 ) / 2

LCM(976,738) = 720288 / 2

LCM(976,738) = 360144


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FAQs on GCF of Fractions of 617/976, 205/738

1. What is the HCF of 617,205?

The HCF of 617,205 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 617/976, 205/738?

Answer: GCF of Numerators as per given numbers 617/976, 205/738 is

GCF of Numerators i.e. for 617,205 is 1

LCM of denominators i.e. for 976,738 is 360144.

Thus, GCF of Fractions is 1/360144.Finally, GCF of Fractions for 617/976, 205/738 is 1/360144.