How to Find GCF of 3125/839, 9509/8538?

GCF of 3125/839, 9509/8538

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 3125/839, 9509/8538 i.e 1/7163382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3125/839, 9509/8538.

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 3125/839,9509/8538?

Given fractions are 3125/839,9509/8538

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 3125/839,9509/8538, numerators are 3125,9509

Denominators are 839,8538

The GCF of 3125,9509 is 1 .

LCM of 839,8538 is 7163382.

The greatest common factor of 3125/839,9509/8538 = [GCF of 3125,9509]/[LCM of 839,8538]= 1/7163382

Therefore, the GCF of 3125/839,9509/8538 is 1/7163382.

Greatest Common Factor of 3125,9509

To find the highest common factor of 3125,9509, we have to find the factors of both numbers and list the highest common factor.

The factors of 3125 are 1, 5, 25, 125, 625, 3125

The factors of 9509 are 1, 37, 257, 9509

The HCF of 3125,9509 is 1.

Lets's calculate GCF of 3125,9509

Greatest Common Factor (GCF) of 3125,9509 By Common Division

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

Greatest Common Factor of 3125,9509 By Matching Biggest Common Factor Method

Now, list down the factors of 3125

1,5,25,125,625,3125

Now, list down the factors of 9509

1,37,257,9509

Greatest Common Factor

We found the factors 3125,9509 . The biggest common factor number is the GCF number.
So the greatest common factor 3125,9509 is 1.

Lets's calculate LCM of 839,8538

Lowest Common Multiple of 839,8538 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7163382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7163382

Therefore, the GCF of Fractions 3125/839,9509/8538 is 1/7163382

Least Common Multiple of 839,8538 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 839,8538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(839,8538) = 1

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

GCF(839,8538) x common factors =1 x 1 = 1

LCM(839,8538) = ( 839 × 8538 ) / 1

LCM(839,8538) = 7163382 / 1

LCM(839,8538) = 7163382

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FAQs on GCF of Fractions of 3125/839, 9509/8538

1. What is the HCF of 3125,9509?

The HCF of 3125,9509 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 3125/839, 9509/8538?

Answer: GCF of Numerators as per given numbers 3125/839, 9509/8538 is

GCF of Numerators i.e. for 3125,9509 is 1

LCM of denominators i.e. for 839,8538 is 7163382.

Thus, GCF of Fractions is 1/7163382.Finally, GCF of Fractions for 3125/839, 9509/8538 is 1/7163382.