How to Find GCF of 11/28, 20/74, 958/602?

GCF of 11/28, 20/74, 958/602

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 11/28, 20/74, 958/602 i.e 1/44548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/28, 20/74, 958/602.

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 11/28,20/74,958/602?

Given fractions are 11/28,20/74,958/602

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 11/28,20/74,958/602, numerators are 11,20,958

Denominators are 28,74,602

The GCF of 11,20,958 is 1 .

LCM of 28,74,602 is 44548.

The greatest common factor of 11/28,20/74,958/602 = [GCF of 11,20,958]/[LCM of 28,74,602]= 1/44548

Therefore, the GCF of 11/28,20/74,958/602 is 1/44548.

Greatest Common Factor of 11,20,958

To find the highest common factor of 11,20,958, we have to find the factors of both numbers and list the highest common factor.

The factors of 11 are 1, 11

The factors of 20 are 1, 2, 4, 5, 10, 20

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

The HCF of 11,20,958 is 1.

Lets's calculate GCF of 11,20,958

Greatest Common Factor (GCF) of 11,20,958 By Common Division

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

Greatest Common Factor of 11,20,958 By Matching Biggest Common Factor Method

Now, list down the factors of 11

1,11

Now, list down the factors of 20

1,2,4,5,10,20

Now, list down the factors of 958

1,2,479,958

Greatest Common Factor

We found the factors 11,20,958 . The biggest common factor number is the GCF number.
So the greatest common factor 11,20,958 is 1.

Lets's calculate LCM of 28,74,602

Lowest Common Multiple of 28,74,602 using Common Division

2	28, 74, 602
7	14, 37, 301
	2, 37, 43

∴ So the LCM of the given numbers is 2 x 7 x 2 x 37 x 43 = 44548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44548

Therefore, the GCF of Fractions 11/28,20/74,958/602 is 1/44548

Least Common Multiple of 28,74,602 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 28,74,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,74,602) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(28,74,602) x common factors =2 x 14 = 28

LCM(28,74,602) = ( 28 × 74 × 602 ) / 28

LCM(28,74,602) = 1247344 / 28

LCM(28,74,602) = 44548

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 11/28, 20/74, 958/602

1. What is the HCF of 11,20,958?

The HCF of 11,20,958 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 11/28, 20/74, 958/602?

Answer: GCF of Numerators as per given numbers 11/28, 20/74, 958/602 is

GCF of Numerators i.e. for 11,20,958 is 1

LCM of denominators i.e. for 28,74,602 is 44548.

Thus, GCF of Fractions is 1/44548.Finally, GCF of Fractions for 11/28, 20/74, 958/602 is 1/44548.