How to Find GCF of 570/931, 1019/171?

GCF of 570/931, 1019/171

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 570/931, 1019/171 i.e 1/8379 easily. The following is the detailed procedure to determine the greatest common factor of fractions 570/931, 1019/171.

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 570/931,1019/171?

Given fractions are 570/931,1019/171

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 570/931,1019/171, numerators are 570,1019

Denominators are 931,171

The GCF of 570,1019 is 1 .

LCM of 931,171 is 8379.

The greatest common factor of 570/931,1019/171 = [GCF of 570,1019]/[LCM of 931,171]= 1/8379

Therefore, the GCF of 570/931,1019/171 is 1/8379.

Greatest Common Factor of 570,1019

To find the highest common factor of 570,1019, we have to find the factors of both numbers and list the highest common factor.

The factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

The factors of 1019 are 1, 1019

The HCF of 570,1019 is 1.

Lets's calculate GCF of 570,1019

Greatest Common Factor (GCF) of 570,1019 By Common Division

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

Greatest Common Factor of 570,1019 By Matching Biggest Common Factor Method

Now, list down the factors of 570

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Now, list down the factors of 1019

1,1019

Greatest Common Factor

We found the factors 570,1019 . The biggest common factor number is the GCF number.
So the greatest common factor 570,1019 is 1.

Lets's calculate LCM of 931,171

Lowest Common Multiple of 931,171 using Common Division

19	931, 171
	49, 9

∴ So the LCM of the given numbers is 19 x 49 x 9 = 8379

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8379

Therefore, the GCF of Fractions 570/931,1019/171 is 1/8379

Least Common Multiple of 931,171 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 931,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,171) = 19

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

GCF(931,171) x common factors =19 x 1 = 19

LCM(931,171) = ( 931 × 171 ) / 19

LCM(931,171) = 159201 / 19

LCM(931,171) = 8379

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FAQs on GCF of Fractions of 570/931, 1019/171

1. What is the HCF of 570,1019?

The HCF of 570,1019 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 570/931, 1019/171?

Answer: GCF of Numerators as per given numbers 570/931, 1019/171 is

GCF of Numerators i.e. for 570,1019 is 1

LCM of denominators i.e. for 931,171 is 8379.

Thus, GCF of Fractions is 1/8379.Finally, GCF of Fractions for 570/931, 1019/171 is 1/8379.