How to Find GCF of 60/374, 22/297, 958/949?

GCF of 60/374, 22/297, 958/949

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 60/374, 22/297, 958/949 i.e 2/9583002 easily. The following is the detailed procedure to determine the greatest common factor of fractions 60/374, 22/297, 958/949.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 60/374,22/297,958/949?

Given fractions are 60/374,22/297,958/949

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 60/374,22/297,958/949, numerators are 60,22,958

Denominators are 374,297,949

The GCF of 60,22,958 is 2 .

LCM of 374,297,949 is 9583002.

The greatest common factor of 60/374,22/297,958/949 = [GCF of 60,22,958]/[LCM of 374,297,949]= 2/9583002

Therefore, the GCF of 60/374,22/297,958/949 is 2/9583002.

Greatest Common Factor of 60,22,958

To find the highest common factor of 60,22,958, we have to find the factors of both numbers and list the highest common factor.

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 22 are 1, 2, 11, 22

The factors of 958 are 1, 2, 479, 958

The HCF of 60,22,958 is 2.

Lets's calculate GCF of 60,22,958

Greatest Common Factor (GCF) of 60,22,958 By Common Division

2	60, 22, 958
	30, 11, 479

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

Greatest Common Factor of 60,22,958 By Matching Biggest Common Factor Method

Now, list down the factors of 60

1,2,3,4,5,6,10,12,15,20,30,60

Now, list down the factors of 22

1,2,11,22

Now, list down the factors of 958

1,2,479,958

Greatest Common Factor

We found the factors 60,22,958 . The biggest common factor number is the GCF number.
So the greatest common factor 60,22,958 is 2.

Lets's calculate LCM of 374,297,949

Lowest Common Multiple of 374,297,949 using Common Division

11	374, 297, 949
	34, 27, 949

∴ So the LCM of the given numbers is 11 x 34 x 27 x 949 = 9583002

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9583002

Therefore, the GCF of Fractions 60/374,22/297,958/949 is 2/9583002

Least Common Multiple of 374,297,949 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 374,297,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,297,949) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(374,297,949) x common factors =1 x 11 = 11

LCM(374,297,949) = ( 374 × 297 × 949 ) / 11

LCM(374,297,949) = 105413022 / 11

LCM(374,297,949) = 9583002

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 60/374, 22/297, 958/949

1. What is the HCF of 60,22,958?

The HCF of 60,22,958 is 2

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 60/374, 22/297, 958/949?

Answer: GCF of Numerators as per given numbers 60/374, 22/297, 958/949 is

GCF of Numerators i.e. for 60,22,958 is 2

LCM of denominators i.e. for 374,297,949 is 9583002.

Thus, GCF of Fractions is 2/9583002.Finally, GCF of Fractions for 60/374, 22/297, 958/949 is 2/9583002.