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GCF of 267/388, 374/960

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 267/388, 374/960 i.e 1/93120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 267/388, 374/960.

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 267/388,374/960?

Given fractions are 267/388,374/960

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 267/388,374/960, numerators are 267,374

Denominators are 388,960

The GCF of 267,374 is 1 .

LCM of 388,960 is 93120.

The greatest common factor of 267/388,374/960 = [GCF of 267,374]/[LCM of 388,960]= 1/93120

Therefore, the GCF of 267/388,374/960 is 1/93120.

Greatest Common Factor of 267,374

To find the highest common factor of 267,374, we have to find the factors of both numbers and list the highest common factor.

The factors of 267 are 1, 3, 89, 267

The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374

The HCF of 267,374 is 1.

Lets's calculate GCF of 267,374

Greatest Common Factor (GCF) of 267,374 By Common Division

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

Greatest Common Factor of 267,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 267,374 By Matching Biggest Common Factor Method

Now, list down the factors of 267

:

1,3,89,267

Now, list down the factors of 374

:

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 267,374 . The biggest common factor number is the GCF number.
So the greatest common factor 267,374 is 1.

Lets's calculate LCM of 388,960

Lowest Common Multiple of 388,960 using Common Division

2 388, 960
2 194, 480
97, 240

∴ So the LCM of the given numbers is 2 x 2 x 97 x 240 = 93120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93120

Therefore, the GCF of Fractions 267/388,374/960 is 1/93120

Least Common Multiple of 388,960 with GCF Formula

Least Common Multiple of 388,960 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 388,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,960) = 4

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

GCF(388,960) x common factors =4 x 1 = 4

LCM(388,960) = ( 388 × 960 ) / 4

LCM(388,960) = 372480 / 4

LCM(388,960) = 93120


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FAQs on GCF of Fractions of 267/388, 374/960

1. What is the HCF of 267,374?

The HCF of 267,374 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 267/388, 374/960?

Answer: GCF of Numerators as per given numbers 267/388, 374/960 is

GCF of Numerators i.e. for 267,374 is 1

LCM of denominators i.e. for 388,960 is 93120.

Thus, GCF of Fractions is 1/93120.Finally, GCF of Fractions for 267/388, 374/960 is 1/93120.