How to Find GCF of 83/156, 26/936, 597/500?

GCF of 83/156, 26/936, 597/500

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 83/156, 26/936, 597/500 i.e 1/117000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 83/156, 26/936, 597/500.

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 83/156,26/936,597/500?

Given fractions are 83/156,26/936,597/500

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 83/156,26/936,597/500, numerators are 83,26,597

Denominators are 156,936,500

The GCF of 83,26,597 is 1 .

LCM of 156,936,500 is 117000.

The greatest common factor of 83/156,26/936,597/500 = [GCF of 83,26,597]/[LCM of 156,936,500]= 1/117000

Therefore, the GCF of 83/156,26/936,597/500 is 1/117000.

Greatest Common Factor of 83,26,597

To find the highest common factor of 83,26,597, we have to find the factors of both numbers and list the highest common factor.

The factors of 83 are 1, 83

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

The factors of 597 are 1, 3, 199, 597

The HCF of 83,26,597 is 1.

Lets's calculate GCF of 83,26,597

Greatest Common Factor (GCF) of 83,26,597 By Common Division

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

Greatest Common Factor of 83,26,597 By Matching Biggest Common Factor Method

Now, list down the factors of 83

1,83

Now, list down the factors of 26

1,2,13,26

Now, list down the factors of 597

1,3,199,597

Greatest Common Factor

We found the factors 83,26,597 . The biggest common factor number is the GCF number.
So the greatest common factor 83,26,597 is 1.

Lets's calculate LCM of 156,936,500

Lowest Common Multiple of 156,936,500 using Common Division

2	156, 936, 500
2	78, 468, 250
3	39, 234, 125
13	13, 78, 125
	1, 6, 125

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 1 x 6 x 125 = 117000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117000

Therefore, the GCF of Fractions 83/156,26/936,597/500 is 1/117000

Least Common Multiple of 156,936,500 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 156,936,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,936,500) = 4

common factors(in case of two or more numbers have common factors) = 156

GCF(156,936,500) x common factors =4 x 156 = 624

LCM(156,936,500) = ( 156 × 936 × 500 ) / 624

LCM(156,936,500) = 73008000 / 624

LCM(156,936,500) = 117000

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 83/156, 26/936, 597/500

1. What is the HCF of 83,26,597?

The HCF of 83,26,597 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 83/156, 26/936, 597/500?

Answer: GCF of Numerators as per given numbers 83/156, 26/936, 597/500 is

GCF of Numerators i.e. for 83,26,597 is 1

LCM of denominators i.e. for 156,936,500 is 117000.

Thus, GCF of Fractions is 1/117000.Finally, GCF of Fractions for 83/156, 26/936, 597/500 is 1/117000.