How to Find GCF of 1537/659, 2571/8909?

GCF of 1537/659, 2571/8909

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 1537/659, 2571/8909 i.e 1/5871031 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1537/659, 2571/8909.

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 1537/659,2571/8909?

Given fractions are 1537/659,2571/8909

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 1537/659,2571/8909, numerators are 1537,2571

Denominators are 659,8909

The GCF of 1537,2571 is 1 .

LCM of 659,8909 is 5871031.

The greatest common factor of 1537/659,2571/8909 = [GCF of 1537,2571]/[LCM of 659,8909]= 1/5871031

Therefore, the GCF of 1537/659,2571/8909 is 1/5871031.

Greatest Common Factor of 1537,2571

To find the highest common factor of 1537,2571, we have to find the factors of both numbers and list the highest common factor.

The factors of 1537 are 1, 29, 53, 1537

The factors of 2571 are 1, 3, 857, 2571

The HCF of 1537,2571 is 1.

Lets's calculate GCF of 1537,2571

Greatest Common Factor (GCF) of 1537,2571 By Common Division

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

Greatest Common Factor of 1537,2571 By Matching Biggest Common Factor Method

Now, list down the factors of 1537

1,29,53,1537

Now, list down the factors of 2571

1,3,857,2571

Greatest Common Factor

We found the factors 1537,2571 . The biggest common factor number is the GCF number.
So the greatest common factor 1537,2571 is 1.

Lets's calculate LCM of 659,8909

Lowest Common Multiple of 659,8909 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5871031

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5871031

Therefore, the GCF of Fractions 1537/659,2571/8909 is 1/5871031

Least Common Multiple of 659,8909 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 659,8909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,8909) = 1

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

GCF(659,8909) x common factors =1 x 1 = 1

LCM(659,8909) = ( 659 × 8909 ) / 1

LCM(659,8909) = 5871031 / 1

LCM(659,8909) = 5871031

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FAQs on GCF of Fractions of 1537/659, 2571/8909

1. What is the HCF of 1537,2571?

The HCF of 1537,2571 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 1537/659, 2571/8909?

Answer: GCF of Numerators as per given numbers 1537/659, 2571/8909 is

GCF of Numerators i.e. for 1537,2571 is 1

LCM of denominators i.e. for 659,8909 is 5871031.

Thus, GCF of Fractions is 1/5871031.Finally, GCF of Fractions for 1537/659, 2571/8909 is 1/5871031.