How to Find GCF of 954/243, 8707/4289?

GCF of 954/243, 8707/4289

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 954/243, 8707/4289 i.e 1/1042227 easily. The following is the detailed procedure to determine the greatest common factor of fractions 954/243, 8707/4289.

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 954/243,8707/4289?

Given fractions are 954/243,8707/4289

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 954/243,8707/4289, numerators are 954,8707

Denominators are 243,4289

The GCF of 954,8707 is 1 .

LCM of 243,4289 is 1042227.

The greatest common factor of 954/243,8707/4289 = [GCF of 954,8707]/[LCM of 243,4289]= 1/1042227

Therefore, the GCF of 954/243,8707/4289 is 1/1042227.

Greatest Common Factor of 954,8707

To find the highest common factor of 954,8707, we have to find the factors of both numbers and list the highest common factor.

The factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

The factors of 8707 are 1, 8707

The HCF of 954,8707 is 1.

Lets's calculate GCF of 954,8707

Greatest Common Factor (GCF) of 954,8707 By Common Division

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

Greatest Common Factor of 954,8707 By Matching Biggest Common Factor Method

Now, list down the factors of 954

1,2,3,6,9,18,53,106,159,318,477,954

Now, list down the factors of 8707

1,8707

Greatest Common Factor

We found the factors 954,8707 . The biggest common factor number is the GCF number.
So the greatest common factor 954,8707 is 1.

Lets's calculate LCM of 243,4289

Lowest Common Multiple of 243,4289 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1042227

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1042227

Therefore, the GCF of Fractions 954/243,8707/4289 is 1/1042227

Least Common Multiple of 243,4289 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 243,4289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,4289) = 1

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

GCF(243,4289) x common factors =1 x 1 = 1

LCM(243,4289) = ( 243 × 4289 ) / 1

LCM(243,4289) = 1042227 / 1

LCM(243,4289) = 1042227

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FAQs on GCF of Fractions of 954/243, 8707/4289

1. What is the HCF of 954,8707?

The HCF of 954,8707 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 954/243, 8707/4289?

Answer: GCF of Numerators as per given numbers 954/243, 8707/4289 is

GCF of Numerators i.e. for 954,8707 is 1

LCM of denominators i.e. for 243,4289 is 1042227.

Thus, GCF of Fractions is 1/1042227.Finally, GCF of Fractions for 954/243, 8707/4289 is 1/1042227.