How to Find GCF of 2724/436, 8831/8465?

GCF of 2724/436, 8831/8465

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 2724/436, 8831/8465 i.e 1/3690740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2724/436, 8831/8465.

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 2724/436,8831/8465?

Given fractions are 2724/436,8831/8465

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 2724/436,8831/8465, numerators are 2724,8831

Denominators are 436,8465

The GCF of 2724,8831 is 1 .

LCM of 436,8465 is 3690740.

The greatest common factor of 2724/436,8831/8465 = [GCF of 2724,8831]/[LCM of 436,8465]= 1/3690740

Therefore, the GCF of 2724/436,8831/8465 is 1/3690740.

Greatest Common Factor of 2724,8831

To find the highest common factor of 2724,8831, we have to find the factors of both numbers and list the highest common factor.

The factors of 2724 are 1, 2, 3, 4, 6, 12, 227, 454, 681, 908, 1362, 2724

The factors of 8831 are 1, 8831

The HCF of 2724,8831 is 1.

Lets's calculate GCF of 2724,8831

Greatest Common Factor (GCF) of 2724,8831 By Common Division

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

Greatest Common Factor of 2724,8831 By Matching Biggest Common Factor Method

Now, list down the factors of 2724

1,2,3,4,6,12,227,454,681,908,1362,2724

Now, list down the factors of 8831

1,8831

Greatest Common Factor

We found the factors 2724,8831 . The biggest common factor number is the GCF number.
So the greatest common factor 2724,8831 is 1.

Lets's calculate LCM of 436,8465

Lowest Common Multiple of 436,8465 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3690740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3690740

Therefore, the GCF of Fractions 2724/436,8831/8465 is 1/3690740

Least Common Multiple of 436,8465 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 436,8465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,8465) = 1

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

GCF(436,8465) x common factors =1 x 1 = 1

LCM(436,8465) = ( 436 × 8465 ) / 1

LCM(436,8465) = 3690740 / 1

LCM(436,8465) = 3690740

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FAQs on GCF of Fractions of 2724/436, 8831/8465

1. What is the HCF of 2724,8831?

The HCF of 2724,8831 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 2724/436, 8831/8465?

Answer: GCF of Numerators as per given numbers 2724/436, 8831/8465 is

GCF of Numerators i.e. for 2724,8831 is 1

LCM of denominators i.e. for 436,8465 is 3690740.

Thus, GCF of Fractions is 1/3690740.Finally, GCF of Fractions for 2724/436, 8831/8465 is 1/3690740.