How to Find GCF of 4365/831, 6458/8591?

GCF of 4365/831, 6458/8591

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 4365/831, 6458/8591 i.e 1/7139121 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4365/831, 6458/8591.

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 4365/831,6458/8591?

Given fractions are 4365/831,6458/8591

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 4365/831,6458/8591, numerators are 4365,6458

Denominators are 831,8591

The GCF of 4365,6458 is 1 .

LCM of 831,8591 is 7139121.

The greatest common factor of 4365/831,6458/8591 = [GCF of 4365,6458]/[LCM of 831,8591]= 1/7139121

Therefore, the GCF of 4365/831,6458/8591 is 1/7139121.

Greatest Common Factor of 4365,6458

To find the highest common factor of 4365,6458, we have to find the factors of both numbers and list the highest common factor.

The factors of 4365 are 1, 3, 5, 9, 15, 45, 97, 291, 485, 873, 1455, 4365

The factors of 6458 are 1, 2, 3229, 6458

The HCF of 4365,6458 is 1.

Lets's calculate GCF of 4365,6458

Greatest Common Factor (GCF) of 4365,6458 By Common Division

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

Greatest Common Factor of 4365,6458 By Matching Biggest Common Factor Method

Now, list down the factors of 4365

1,3,5,9,15,45,97,291,485,873,1455,4365

Now, list down the factors of 6458

1,2,3229,6458

Greatest Common Factor

We found the factors 4365,6458 . The biggest common factor number is the GCF number.
So the greatest common factor 4365,6458 is 1.

Lets's calculate LCM of 831,8591

Lowest Common Multiple of 831,8591 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7139121

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7139121

Therefore, the GCF of Fractions 4365/831,6458/8591 is 1/7139121

Least Common Multiple of 831,8591 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 831,8591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,8591) = 1

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

GCF(831,8591) x common factors =1 x 1 = 1

LCM(831,8591) = ( 831 × 8591 ) / 1

LCM(831,8591) = 7139121 / 1

LCM(831,8591) = 7139121

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FAQs on GCF of Fractions of 4365/831, 6458/8591

1. What is the HCF of 4365,6458?

The HCF of 4365,6458 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 4365/831, 6458/8591?

Answer: GCF of Numerators as per given numbers 4365/831, 6458/8591 is

GCF of Numerators i.e. for 4365,6458 is 1

LCM of denominators i.e. for 831,8591 is 7139121.

Thus, GCF of Fractions is 1/7139121.Finally, GCF of Fractions for 4365/831, 6458/8591 is 1/7139121.