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GCF of 303/616, 9089/980

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 303/616, 9089/980 i.e 1/21560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 303/616, 9089/980.

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 303/616,9089/980?

Given fractions are 303/616,9089/980

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 303/616,9089/980, numerators are 303,9089

Denominators are 616,980

The GCF of 303,9089 is 1 .

LCM of 616,980 is 21560.

The greatest common factor of 303/616,9089/980 = [GCF of 303,9089]/[LCM of 616,980]= 1/21560

Therefore, the GCF of 303/616,9089/980 is 1/21560.

Greatest Common Factor of 303,9089

To find the highest common factor of 303,9089, we have to find the factors of both numbers and list the highest common factor.

The factors of 303 are 1, 3, 101, 303

The factors of 9089 are 1, 61, 149, 9089

The HCF of 303,9089 is 1.

Lets's calculate GCF of 303,9089

Greatest Common Factor (GCF) of 303,9089 By Common Division

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

Greatest Common Factor of 303,9089 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,9089 By Matching Biggest Common Factor Method

Now, list down the factors of 303

:

1,3,101,303

Now, list down the factors of 9089

:

1,61,149,9089

Greatest Common Factor

We found the factors 303,9089 . The biggest common factor number is the GCF number.
So the greatest common factor 303,9089 is 1.

Lets's calculate LCM of 616,980

Lowest Common Multiple of 616,980 using Common Division

2 616, 980
2 308, 490
7 154, 245
22, 35

∴ So the LCM of the given numbers is 2 x 2 x 7 x 22 x 35 = 21560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21560

Therefore, the GCF of Fractions 303/616,9089/980 is 1/21560

Least Common Multiple of 616,980 with GCF Formula

Least Common Multiple of 616,980 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 616,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,980) = 28

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

GCF(616,980) x common factors =28 x 1 = 28

LCM(616,980) = ( 616 × 980 ) / 28

LCM(616,980) = 603680 / 28

LCM(616,980) = 21560


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FAQs on GCF of Fractions of 303/616, 9089/980

1. What is the HCF of 303,9089?

The HCF of 303,9089 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 303/616, 9089/980?

Answer: GCF of Numerators as per given numbers 303/616, 9089/980 is

GCF of Numerators i.e. for 303,9089 is 1

LCM of denominators i.e. for 616,980 is 21560.

Thus, GCF of Fractions is 1/21560.Finally, GCF of Fractions for 303/616, 9089/980 is 1/21560.