How to Find GCF of 3804/839, 7589/6755?

GCF of 3804/839, 7589/6755

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 3804/839, 7589/6755 i.e 1/5667445 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3804/839, 7589/6755.

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 3804/839,7589/6755?

Given fractions are 3804/839,7589/6755

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 3804/839,7589/6755, numerators are 3804,7589

Denominators are 839,6755

The GCF of 3804,7589 is 1 .

LCM of 839,6755 is 5667445.

The greatest common factor of 3804/839,7589/6755 = [GCF of 3804,7589]/[LCM of 839,6755]= 1/5667445

Therefore, the GCF of 3804/839,7589/6755 is 1/5667445.

Greatest Common Factor of 3804,7589

To find the highest common factor of 3804,7589, we have to find the factors of both numbers and list the highest common factor.

The factors of 3804 are 1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902, 3804

The factors of 7589 are 1, 7589

The HCF of 3804,7589 is 1.

Lets's calculate GCF of 3804,7589

Greatest Common Factor (GCF) of 3804,7589 By Common Division

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

Greatest Common Factor of 3804,7589 By Matching Biggest Common Factor Method

Now, list down the factors of 3804

1,2,3,4,6,12,317,634,951,1268,1902,3804

Now, list down the factors of 7589

1,7589

Greatest Common Factor

We found the factors 3804,7589 . The biggest common factor number is the GCF number.
So the greatest common factor 3804,7589 is 1.

Lets's calculate LCM of 839,6755

Lowest Common Multiple of 839,6755 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5667445

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5667445

Therefore, the GCF of Fractions 3804/839,7589/6755 is 1/5667445

Least Common Multiple of 839,6755 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 839,6755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(839,6755) = 1

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

GCF(839,6755) x common factors =1 x 1 = 1

LCM(839,6755) = ( 839 × 6755 ) / 1

LCM(839,6755) = 5667445 / 1

LCM(839,6755) = 5667445

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3804/839, 7589/6755

1. What is the HCF of 3804,7589?

The HCF of 3804,7589 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 3804/839, 7589/6755?

Answer: GCF of Numerators as per given numbers 3804/839, 7589/6755 is

GCF of Numerators i.e. for 3804,7589 is 1

LCM of denominators i.e. for 839,6755 is 5667445.

Thus, GCF of Fractions is 1/5667445.Finally, GCF of Fractions for 3804/839, 7589/6755 is 1/5667445.