How to Find GCF of 31/51, 850/83, 874/397?

GCF of 31/51, 850/83, 874/397

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 31/51, 850/83, 874/397 i.e 1/1680501 easily. The following is the detailed procedure to determine the greatest common factor of fractions 31/51, 850/83, 874/397.

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 31/51,850/83,874/397?

Given fractions are 31/51,850/83,874/397

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 31/51,850/83,874/397, numerators are 31,850,874

Denominators are 51,83,397

The GCF of 31,850,874 is 1 .

LCM of 51,83,397 is 1680501.

The greatest common factor of 31/51,850/83,874/397 = [GCF of 31,850,874]/[LCM of 51,83,397]= 1/1680501

Therefore, the GCF of 31/51,850/83,874/397 is 1/1680501.

Greatest Common Factor of 31,850,874

To find the highest common factor of 31,850,874, we have to find the factors of both numbers and list the highest common factor.

The factors of 31 are 1, 31

The factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874

The HCF of 31,850,874 is 1.

Lets's calculate GCF of 31,850,874

Greatest Common Factor (GCF) of 31,850,874 By Common Division

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

Greatest Common Factor of 31,850,874 By Matching Biggest Common Factor Method

Now, list down the factors of 31

1,31

Now, list down the factors of 850

1,2,5,10,17,25,34,50,85,170,425,850

Now, list down the factors of 874

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 31,850,874 . The biggest common factor number is the GCF number.
So the greatest common factor 31,850,874 is 1.

Lets's calculate LCM of 51,83,397

Lowest Common Multiple of 51,83,397 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1680501

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1680501

Therefore, the GCF of Fractions 31/51,850/83,874/397 is 1/1680501

Least Common Multiple of 51,83,397 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 51,83,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,83,397) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(51,83,397) x common factors =1 x 1 = 1

LCM(51,83,397) = ( 51 × 83 × 397 ) / 1

LCM(51,83,397) = 1680501 / 1

LCM(51,83,397) = 1680501

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 31/51, 850/83, 874/397

1. What is the HCF of 31,850,874?

The HCF of 31,850,874 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 31/51, 850/83, 874/397?

Answer: GCF of Numerators as per given numbers 31/51, 850/83, 874/397 is

GCF of Numerators i.e. for 31,850,874 is 1

LCM of denominators i.e. for 51,83,397 is 1680501.

Thus, GCF of Fractions is 1/1680501.Finally, GCF of Fractions for 31/51, 850/83, 874/397 is 1/1680501.