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GCF of 985/320, 663/658

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 985/320, 663/658 i.e 1/105280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 985/320, 663/658.

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 985/320,663/658?

Given fractions are 985/320,663/658

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 985/320,663/658, numerators are 985,663

Denominators are 320,658

The GCF of 985,663 is 1 .

LCM of 320,658 is 105280.

The greatest common factor of 985/320,663/658 = [GCF of 985,663]/[LCM of 320,658]= 1/105280

Therefore, the GCF of 985/320,663/658 is 1/105280.

Greatest Common Factor of 985,663

To find the highest common factor of 985,663, we have to find the factors of both numbers and list the highest common factor.

The factors of 985 are 1, 5, 197, 985

The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663

The HCF of 985,663 is 1.

Lets's calculate GCF of 985,663

Greatest Common Factor (GCF) of 985,663 By Common Division

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

Greatest Common Factor of 985,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 985,663 By Matching Biggest Common Factor Method

Now, list down the factors of 985

:

1,5,197,985

Now, list down the factors of 663

:

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 985,663 . The biggest common factor number is the GCF number.
So the greatest common factor 985,663 is 1.

Lets's calculate LCM of 320,658

Lowest Common Multiple of 320,658 using Common Division

2 320, 658
160, 329

∴ So the LCM of the given numbers is 2 x 160 x 329 = 105280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105280

Therefore, the GCF of Fractions 985/320,663/658 is 1/105280

Least Common Multiple of 320,658 with GCF Formula

Least Common Multiple of 320,658 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 320,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,658) = 2

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

GCF(320,658) x common factors =2 x 1 = 2

LCM(320,658) = ( 320 × 658 ) / 2

LCM(320,658) = 210560 / 2

LCM(320,658) = 105280


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FAQs on GCF of Fractions of 985/320, 663/658

1. What is the HCF of 985,663?

The HCF of 985,663 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 985/320, 663/658?

Answer: GCF of Numerators as per given numbers 985/320, 663/658 is

GCF of Numerators i.e. for 985,663 is 1

LCM of denominators i.e. for 320,658 is 105280.

Thus, GCF of Fractions is 1/105280.Finally, GCF of Fractions for 985/320, 663/658 is 1/105280.