How to Find GCF of 8758/861, 4273/4580?

GCF of 8758/861, 4273/4580

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 8758/861, 4273/4580 i.e 1/3943380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8758/861, 4273/4580.

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 8758/861,4273/4580?

Given fractions are 8758/861,4273/4580

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 8758/861,4273/4580, numerators are 8758,4273

Denominators are 861,4580

The GCF of 8758,4273 is 1 .

LCM of 861,4580 is 3943380.

The greatest common factor of 8758/861,4273/4580 = [GCF of 8758,4273]/[LCM of 861,4580]= 1/3943380

Therefore, the GCF of 8758/861,4273/4580 is 1/3943380.

Greatest Common Factor of 8758,4273

To find the highest common factor of 8758,4273, we have to find the factors of both numbers and list the highest common factor.

The factors of 8758 are 1, 2, 29, 58, 151, 302, 4379, 8758

The factors of 4273 are 1, 4273

The HCF of 8758,4273 is 1.

Lets's calculate GCF of 8758,4273

Greatest Common Factor (GCF) of 8758,4273 By Common Division

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

Greatest Common Factor of 8758,4273 By Matching Biggest Common Factor Method

Now, list down the factors of 8758

1,2,29,58,151,302,4379,8758

Now, list down the factors of 4273

1,4273

Greatest Common Factor

We found the factors 8758,4273 . The biggest common factor number is the GCF number.
So the greatest common factor 8758,4273 is 1.

Lets's calculate LCM of 861,4580

Lowest Common Multiple of 861,4580 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3943380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3943380

Therefore, the GCF of Fractions 8758/861,4273/4580 is 1/3943380

Least Common Multiple of 861,4580 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 861,4580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,4580) = 1

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

GCF(861,4580) x common factors =1 x 1 = 1

LCM(861,4580) = ( 861 × 4580 ) / 1

LCM(861,4580) = 3943380 / 1

LCM(861,4580) = 3943380

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FAQs on GCF of Fractions of 8758/861, 4273/4580

1. What is the HCF of 8758,4273?

The HCF of 8758,4273 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 8758/861, 4273/4580?

Answer: GCF of Numerators as per given numbers 8758/861, 4273/4580 is

GCF of Numerators i.e. for 8758,4273 is 1

LCM of denominators i.e. for 861,4580 is 3943380.

Thus, GCF of Fractions is 1/3943380.Finally, GCF of Fractions for 8758/861, 4273/4580 is 1/3943380.