How to Find GCF of 3779/888, 8599/9121?

GCF of 3779/888, 8599/9121

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 3779/888, 8599/9121 i.e 1/8099448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3779/888, 8599/9121.

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 3779/888,8599/9121?

Given fractions are 3779/888,8599/9121

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 3779/888,8599/9121, numerators are 3779,8599

Denominators are 888,9121

The GCF of 3779,8599 is 1 .

LCM of 888,9121 is 8099448.

The greatest common factor of 3779/888,8599/9121 = [GCF of 3779,8599]/[LCM of 888,9121]= 1/8099448

Therefore, the GCF of 3779/888,8599/9121 is 1/8099448.

Greatest Common Factor of 3779,8599

To find the highest common factor of 3779,8599, we have to find the factors of both numbers and list the highest common factor.

The factors of 3779 are 1, 3779

The factors of 8599 are 1, 8599

The HCF of 3779,8599 is 1.

Lets's calculate GCF of 3779,8599

Greatest Common Factor (GCF) of 3779,8599 By Common Division

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

Greatest Common Factor of 3779,8599 By Matching Biggest Common Factor Method

Now, list down the factors of 3779

1,3779

Now, list down the factors of 8599

1,8599

Greatest Common Factor

We found the factors 3779,8599 . The biggest common factor number is the GCF number.
So the greatest common factor 3779,8599 is 1.

Lets's calculate LCM of 888,9121

Lowest Common Multiple of 888,9121 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8099448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8099448

Therefore, the GCF of Fractions 3779/888,8599/9121 is 1/8099448

Least Common Multiple of 888,9121 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 888,9121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(888,9121) = 1

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

GCF(888,9121) x common factors =1 x 1 = 1

LCM(888,9121) = ( 888 × 9121 ) / 1

LCM(888,9121) = 8099448 / 1

LCM(888,9121) = 8099448

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FAQs on GCF of Fractions of 3779/888, 8599/9121

1. What is the HCF of 3779,8599?

The HCF of 3779,8599 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 3779/888, 8599/9121?

Answer: GCF of Numerators as per given numbers 3779/888, 8599/9121 is

GCF of Numerators i.e. for 3779,8599 is 1

LCM of denominators i.e. for 888,9121 is 8099448.

Thus, GCF of Fractions is 1/8099448.Finally, GCF of Fractions for 3779/888, 8599/9121 is 1/8099448.