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GCF of 302/16, 945/976

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 302/16, 945/976 i.e 1/976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 302/16, 945/976.

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 302/16,945/976?

Given fractions are 302/16,945/976

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 302/16,945/976, numerators are 302,945

Denominators are 16,976

The GCF of 302,945 is 1 .

LCM of 16,976 is 976.

The greatest common factor of 302/16,945/976 = [GCF of 302,945]/[LCM of 16,976]= 1/976

Therefore, the GCF of 302/16,945/976 is 1/976.

Greatest Common Factor of 302,945

To find the highest common factor of 302,945, we have to find the factors of both numbers and list the highest common factor.

The factors of 302 are 1, 2, 151, 302

The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

The HCF of 302,945 is 1.

Lets's calculate GCF of 302,945

Greatest Common Factor (GCF) of 302,945 By Common Division

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

Greatest Common Factor of 302,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,945 By Matching Biggest Common Factor Method

Now, list down the factors of 302

:

1,2,151,302

Now, list down the factors of 945

:

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 302,945 . The biggest common factor number is the GCF number.
So the greatest common factor 302,945 is 1.

Lets's calculate LCM of 16,976

Lowest Common Multiple of 16,976 using Common Division

2 16, 976
2 8, 488
2 4, 244
2 2, 122
1, 61

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 61 = 976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/976

Therefore, the GCF of Fractions 302/16,945/976 is 1/976

Least Common Multiple of 16,976 with GCF Formula

Least Common Multiple of 16,976 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 16,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,976) = 16

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

GCF(16,976) x common factors =16 x 1 = 16

LCM(16,976) = ( 16 × 976 ) / 16

LCM(16,976) = 15616 / 16

LCM(16,976) = 976


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FAQs on GCF of Fractions of 302/16, 945/976

1. What is the HCF of 302,945?

The HCF of 302,945 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 302/16, 945/976?

Answer: GCF of Numerators as per given numbers 302/16, 945/976 is

GCF of Numerators i.e. for 302,945 is 1

LCM of denominators i.e. for 16,976 is 976.

Thus, GCF of Fractions is 1/976.Finally, GCF of Fractions for 302/16, 945/976 is 1/976.