How to Find GCF of 52/39, 887/49, 958/942?

GCF of 52/39, 887/49, 958/942

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 52/39, 887/49, 958/942 i.e 1/600054 easily. The following is the detailed procedure to determine the greatest common factor of fractions 52/39, 887/49, 958/942.

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 52/39,887/49,958/942?

Given fractions are 52/39,887/49,958/942

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 52/39,887/49,958/942, numerators are 52,887,958

Denominators are 39,49,942

The GCF of 52,887,958 is 1 .

LCM of 39,49,942 is 600054.

The greatest common factor of 52/39,887/49,958/942 = [GCF of 52,887,958]/[LCM of 39,49,942]= 1/600054

Therefore, the GCF of 52/39,887/49,958/942 is 1/600054.

Greatest Common Factor of 52,887,958

To find the highest common factor of 52,887,958, we have to find the factors of both numbers and list the highest common factor.

The factors of 52 are 1, 2, 4, 13, 26, 52

The factors of 887 are 1, 887

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

The HCF of 52,887,958 is 1.

Lets's calculate GCF of 52,887,958

Greatest Common Factor (GCF) of 52,887,958 By Common Division

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

Greatest Common Factor of 52,887,958 By Matching Biggest Common Factor Method

Now, list down the factors of 52

1,2,4,13,26,52

Now, list down the factors of 887

1,887

Now, list down the factors of 958

1,2,479,958

Greatest Common Factor

We found the factors 52,887,958 . The biggest common factor number is the GCF number.
So the greatest common factor 52,887,958 is 1.

Lets's calculate LCM of 39,49,942

Lowest Common Multiple of 39,49,942 using Common Division

3	39, 49, 942
	13, 49, 314

∴ So the LCM of the given numbers is 3 x 13 x 49 x 314 = 600054

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/600054

Therefore, the GCF of Fractions 52/39,887/49,958/942 is 1/600054

Least Common Multiple of 39,49,942 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 39,49,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,49,942) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(39,49,942) x common factors =1 x 3 = 3

LCM(39,49,942) = ( 39 × 49 × 942 ) / 3

LCM(39,49,942) = 1800162 / 3

LCM(39,49,942) = 600054

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 52/39, 887/49, 958/942

1. What is the HCF of 52,887,958?

The HCF of 52,887,958 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 52/39, 887/49, 958/942?

Answer: GCF of Numerators as per given numbers 52/39, 887/49, 958/942 is

GCF of Numerators i.e. for 52,887,958 is 1

LCM of denominators i.e. for 39,49,942 is 600054.

Thus, GCF of Fractions is 1/600054.Finally, GCF of Fractions for 52/39, 887/49, 958/942 is 1/600054.