LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 268/318, 952/958

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 268/318, 952/958 i.e 4/152322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 268/318, 952/958.

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 268/318,952/958?

Given fractions are 268/318,952/958

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 268/318,952/958, numerators are 268,952

Denominators are 318,958

The GCF of 268,952 is 4 .

LCM of 318,958 is 152322.

The greatest common factor of 268/318,952/958 = [GCF of 268,952]/[LCM of 318,958]= 4/152322

Therefore, the GCF of 268/318,952/958 is 4/152322.

Greatest Common Factor of 268,952

To find the highest common factor of 268,952, we have to find the factors of both numbers and list the highest common factor.

The factors of 268 are 1, 2, 4, 67, 134, 268

The factors of 952 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

The HCF of 268,952 is 4.

Lets's calculate GCF of 268,952

Greatest Common Factor (GCF) of 268,952 By Common Division

2 268, 952
2 134, 476
67, 238

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 268,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,952 By Matching Biggest Common Factor Method

Now, list down the factors of 268

:

1,2,4,67,134,268

Now, list down the factors of 952

:

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 268,952 . The biggest common factor number is the GCF number.
So the greatest common factor 268,952 is 4.

Lets's calculate LCM of 318,958

Lowest Common Multiple of 318,958 using Common Division

2 318, 958
159, 479

∴ So the LCM of the given numbers is 2 x 159 x 479 = 152322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/152322

Therefore, the GCF of Fractions 268/318,952/958 is 4/152322

Least Common Multiple of 318,958 with GCF Formula

Least Common Multiple of 318,958 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 318,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,958) = 2

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

GCF(318,958) x common factors =2 x 1 = 2

LCM(318,958) = ( 318 × 958 ) / 2

LCM(318,958) = 304644 / 2

LCM(318,958) = 152322


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 268/318, 952/958

1. What is the HCF of 268,952?

The HCF of 268,952 is 4

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 268/318, 952/958?

Answer: GCF of Numerators as per given numbers 268/318, 952/958 is

GCF of Numerators i.e. for 268,952 is 4

LCM of denominators i.e. for 318,958 is 152322.

Thus, GCF of Fractions is 4/152322.Finally, GCF of Fractions for 268/318, 952/958 is 4/152322.