How to Find GCF of 363/469, 2131/851?

GCF of 363/469, 2131/851

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 363/469, 2131/851 i.e 1/399119 easily. The following is the detailed procedure to determine the greatest common factor of fractions 363/469, 2131/851.

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 363/469,2131/851?

Given fractions are 363/469,2131/851

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 363/469,2131/851, numerators are 363,2131

Denominators are 469,851

The GCF of 363,2131 is 1 .

LCM of 469,851 is 399119.

The greatest common factor of 363/469,2131/851 = [GCF of 363,2131]/[LCM of 469,851]= 1/399119

Therefore, the GCF of 363/469,2131/851 is 1/399119.

Greatest Common Factor of 363,2131

To find the highest common factor of 363,2131, we have to find the factors of both numbers and list the highest common factor.

The factors of 363 are 1, 3, 11, 33, 121, 363

The factors of 2131 are 1, 2131

The HCF of 363,2131 is 1.

Lets's calculate GCF of 363,2131

Greatest Common Factor (GCF) of 363,2131 By Common Division

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

Greatest Common Factor of 363,2131 By Matching Biggest Common Factor Method

Now, list down the factors of 363

1,3,11,33,121,363

Now, list down the factors of 2131

1,2131

Greatest Common Factor

We found the factors 363,2131 . The biggest common factor number is the GCF number.
So the greatest common factor 363,2131 is 1.

Lets's calculate LCM of 469,851

Lowest Common Multiple of 469,851 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 399119

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/399119

Therefore, the GCF of Fractions 363/469,2131/851 is 1/399119

Least Common Multiple of 469,851 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 469,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,851) = 1

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

GCF(469,851) x common factors =1 x 1 = 1

LCM(469,851) = ( 469 × 851 ) / 1

LCM(469,851) = 399119 / 1

LCM(469,851) = 399119

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FAQs on GCF of Fractions of 363/469, 2131/851

1. What is the HCF of 363,2131?

The HCF of 363,2131 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 363/469, 2131/851?

Answer: GCF of Numerators as per given numbers 363/469, 2131/851 is

GCF of Numerators i.e. for 363,2131 is 1

LCM of denominators i.e. for 469,851 is 399119.

Thus, GCF of Fractions is 1/399119.Finally, GCF of Fractions for 363/469, 2131/851 is 1/399119.