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GCF of 276/64, 335/120

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 276/64, 335/120 i.e 1/960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 276/64, 335/120.

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 276/64,335/120?

Given fractions are 276/64,335/120

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 276/64,335/120, numerators are 276,335

Denominators are 64,120

The GCF of 276,335 is 1 .

LCM of 64,120 is 960.

The greatest common factor of 276/64,335/120 = [GCF of 276,335]/[LCM of 64,120]= 1/960

Therefore, the GCF of 276/64,335/120 is 1/960.

Greatest Common Factor of 276,335

To find the highest common factor of 276,335, we have to find the factors of both numbers and list the highest common factor.

The factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

The factors of 335 are 1, 5, 67, 335

The HCF of 276,335 is 1.

Lets's calculate GCF of 276,335

Greatest Common Factor (GCF) of 276,335 By Common Division

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

Greatest Common Factor of 276,335 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,335 By Matching Biggest Common Factor Method

Now, list down the factors of 276

:

1,2,3,4,6,12,23,46,69,92,138,276

Now, list down the factors of 335

:

1,5,67,335

Greatest Common Factor

We found the factors 276,335 . The biggest common factor number is the GCF number.
So the greatest common factor 276,335 is 1.

Lets's calculate LCM of 64,120

Lowest Common Multiple of 64,120 using Common Division

2 64, 120
2 32, 60
2 16, 30
8, 15

∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 15 = 960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/960

Therefore, the GCF of Fractions 276/64,335/120 is 1/960

Least Common Multiple of 64,120 with GCF Formula

Least Common Multiple of 64,120 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 64,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,120) = 8

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

GCF(64,120) x common factors =8 x 1 = 8

LCM(64,120) = ( 64 × 120 ) / 8

LCM(64,120) = 7680 / 8

LCM(64,120) = 960


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FAQs on GCF of Fractions of 276/64, 335/120

1. What is the HCF of 276,335?

The HCF of 276,335 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 276/64, 335/120?

Answer: GCF of Numerators as per given numbers 276/64, 335/120 is

GCF of Numerators i.e. for 276,335 is 1

LCM of denominators i.e. for 64,120 is 960.

Thus, GCF of Fractions is 1/960.Finally, GCF of Fractions for 276/64, 335/120 is 1/960.