How to Find GCF of 1731/113, 9070/5059?

GCF of 1731/113, 9070/5059

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 1731/113, 9070/5059 i.e 1/571667 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1731/113, 9070/5059.

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 1731/113,9070/5059?

Given fractions are 1731/113,9070/5059

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 1731/113,9070/5059, numerators are 1731,9070

Denominators are 113,5059

The GCF of 1731,9070 is 1 .

LCM of 113,5059 is 571667.

The greatest common factor of 1731/113,9070/5059 = [GCF of 1731,9070]/[LCM of 113,5059]= 1/571667

Therefore, the GCF of 1731/113,9070/5059 is 1/571667.

Greatest Common Factor of 1731,9070

To find the highest common factor of 1731,9070, we have to find the factors of both numbers and list the highest common factor.

The factors of 1731 are 1, 3, 577, 1731

The factors of 9070 are 1, 2, 5, 10, 907, 1814, 4535, 9070

The HCF of 1731,9070 is 1.

Lets's calculate GCF of 1731,9070

Greatest Common Factor (GCF) of 1731,9070 By Common Division

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

Greatest Common Factor of 1731,9070 By Matching Biggest Common Factor Method

Now, list down the factors of 1731

1,3,577,1731

Now, list down the factors of 9070

1,2,5,10,907,1814,4535,9070

Greatest Common Factor

We found the factors 1731,9070 . The biggest common factor number is the GCF number.
So the greatest common factor 1731,9070 is 1.

Lets's calculate LCM of 113,5059

Lowest Common Multiple of 113,5059 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 571667

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/571667

Therefore, the GCF of Fractions 1731/113,9070/5059 is 1/571667

Least Common Multiple of 113,5059 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 113,5059 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(113,5059) = 1

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

GCF(113,5059) x common factors =1 x 1 = 1

LCM(113,5059) = ( 113 × 5059 ) / 1

LCM(113,5059) = 571667 / 1

LCM(113,5059) = 571667

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FAQs on GCF of Fractions of 1731/113, 9070/5059

1. What is the HCF of 1731,9070?

The HCF of 1731,9070 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 1731/113, 9070/5059?

Answer: GCF of Numerators as per given numbers 1731/113, 9070/5059 is

GCF of Numerators i.e. for 1731,9070 is 1

LCM of denominators i.e. for 113,5059 is 571667.

Thus, GCF of Fractions is 1/571667.Finally, GCF of Fractions for 1731/113, 9070/5059 is 1/571667.