How to Find GCF of 7639/899, 1837/3676?

GCF of 7639/899, 1837/3676

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 7639/899, 1837/3676 i.e 1/3304724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7639/899, 1837/3676.

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 7639/899,1837/3676?

Given fractions are 7639/899,1837/3676

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 7639/899,1837/3676, numerators are 7639,1837

Denominators are 899,3676

The GCF of 7639,1837 is 1 .

LCM of 899,3676 is 3304724.

The greatest common factor of 7639/899,1837/3676 = [GCF of 7639,1837]/[LCM of 899,3676]= 1/3304724

Therefore, the GCF of 7639/899,1837/3676 is 1/3304724.

Greatest Common Factor of 7639,1837

To find the highest common factor of 7639,1837, we have to find the factors of both numbers and list the highest common factor.

The factors of 7639 are 1, 7639

The factors of 1837 are 1, 11, 167, 1837

The HCF of 7639,1837 is 1.

Lets's calculate GCF of 7639,1837

Greatest Common Factor (GCF) of 7639,1837 By Common Division

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

Greatest Common Factor of 7639,1837 By Matching Biggest Common Factor Method

Now, list down the factors of 7639

1,7639

Now, list down the factors of 1837

1,11,167,1837

Greatest Common Factor

We found the factors 7639,1837 . The biggest common factor number is the GCF number.
So the greatest common factor 7639,1837 is 1.

Lets's calculate LCM of 899,3676

Lowest Common Multiple of 899,3676 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3304724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3304724

Therefore, the GCF of Fractions 7639/899,1837/3676 is 1/3304724

Least Common Multiple of 899,3676 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 899,3676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(899,3676) = 1

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

GCF(899,3676) x common factors =1 x 1 = 1

LCM(899,3676) = ( 899 × 3676 ) / 1

LCM(899,3676) = 3304724 / 1

LCM(899,3676) = 3304724

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FAQs on GCF of Fractions of 7639/899, 1837/3676

1. What is the HCF of 7639,1837?

The HCF of 7639,1837 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 7639/899, 1837/3676?

Answer: GCF of Numerators as per given numbers 7639/899, 1837/3676 is

GCF of Numerators i.e. for 7639,1837 is 1

LCM of denominators i.e. for 899,3676 is 3304724.

Thus, GCF of Fractions is 1/3304724.Finally, GCF of Fractions for 7639/899, 1837/3676 is 1/3304724.