How to Find GCF of 52/367, 686/662, 941/294?

GCF of 52/367, 686/662, 941/294

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 52/367, 686/662, 941/294 i.e 1/35714238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 52/367, 686/662, 941/294.

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 52/367,686/662,941/294?

Given fractions are 52/367,686/662,941/294

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 52/367,686/662,941/294, numerators are 52,686,941

Denominators are 367,662,294

The GCF of 52,686,941 is 1 .

LCM of 367,662,294 is 35714238.

The greatest common factor of 52/367,686/662,941/294 = [GCF of 52,686,941]/[LCM of 367,662,294]= 1/35714238

Therefore, the GCF of 52/367,686/662,941/294 is 1/35714238.

Greatest Common Factor of 52,686,941

To find the highest common factor of 52,686,941, 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 686 are 1, 2, 7, 14, 49, 98, 343, 686

The factors of 941 are 1, 941

The HCF of 52,686,941 is 1.

Lets's calculate GCF of 52,686,941

Greatest Common Factor (GCF) of 52,686,941 By Common Division

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

Greatest Common Factor of 52,686,941 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 686

1,2,7,14,49,98,343,686

Now, list down the factors of 941

1,941

Greatest Common Factor

We found the factors 52,686,941 . The biggest common factor number is the GCF number.
So the greatest common factor 52,686,941 is 1.

Lets's calculate LCM of 367,662,294

Lowest Common Multiple of 367,662,294 using Common Division

2	367, 662, 294
	367, 331, 147

∴ So the LCM of the given numbers is 2 x 367 x 331 x 147 = 35714238

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35714238

Therefore, the GCF of Fractions 52/367,686/662,941/294 is 1/35714238

Least Common Multiple of 367,662,294 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 367,662,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,662,294) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(367,662,294) x common factors =1 x 2 = 2

LCM(367,662,294) = ( 367 × 662 × 294 ) / 2

LCM(367,662,294) = 71428476 / 2

LCM(367,662,294) = 35714238

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 52/367, 686/662, 941/294

1. What is the HCF of 52,686,941?

The HCF of 52,686,941 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 52/367, 686/662, 941/294?

Answer: GCF of Numerators as per given numbers 52/367, 686/662, 941/294 is

GCF of Numerators i.e. for 52,686,941 is 1

LCM of denominators i.e. for 367,662,294 is 35714238.

Thus, GCF of Fractions is 1/35714238.Finally, GCF of Fractions for 52/367, 686/662, 941/294 is 1/35714238.