How to Find GCF of 4951/864, 5868/2873?

GCF of 4951/864, 5868/2873

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 4951/864, 5868/2873 i.e 1/2482272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4951/864, 5868/2873.

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 4951/864,5868/2873?

Given fractions are 4951/864,5868/2873

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 4951/864,5868/2873, numerators are 4951,5868

Denominators are 864,2873

The GCF of 4951,5868 is 1 .

LCM of 864,2873 is 2482272.

The greatest common factor of 4951/864,5868/2873 = [GCF of 4951,5868]/[LCM of 864,2873]= 1/2482272

Therefore, the GCF of 4951/864,5868/2873 is 1/2482272.

Greatest Common Factor of 4951,5868

To find the highest common factor of 4951,5868, we have to find the factors of both numbers and list the highest common factor.

The factors of 4951 are 1, 4951

The factors of 5868 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 163, 326, 489, 652, 978, 1467, 1956, 2934, 5868

The HCF of 4951,5868 is 1.

Lets's calculate GCF of 4951,5868

Greatest Common Factor (GCF) of 4951,5868 By Common Division

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

Greatest Common Factor of 4951,5868 By Matching Biggest Common Factor Method

Now, list down the factors of 4951

1,4951

Now, list down the factors of 5868

1,2,3,4,6,9,12,18,36,163,326,489,652,978,1467,1956,2934,5868

Greatest Common Factor

We found the factors 4951,5868 . The biggest common factor number is the GCF number.
So the greatest common factor 4951,5868 is 1.

Lets's calculate LCM of 864,2873

Lowest Common Multiple of 864,2873 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2482272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2482272

Therefore, the GCF of Fractions 4951/864,5868/2873 is 1/2482272

Least Common Multiple of 864,2873 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 864,2873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,2873) = 1

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

GCF(864,2873) x common factors =1 x 1 = 1

LCM(864,2873) = ( 864 × 2873 ) / 1

LCM(864,2873) = 2482272 / 1

LCM(864,2873) = 2482272

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FAQs on GCF of Fractions of 4951/864, 5868/2873

1. What is the HCF of 4951,5868?

The HCF of 4951,5868 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 4951/864, 5868/2873?

Answer: GCF of Numerators as per given numbers 4951/864, 5868/2873 is

GCF of Numerators i.e. for 4951,5868 is 1

LCM of denominators i.e. for 864,2873 is 2482272.

Thus, GCF of Fractions is 1/2482272.Finally, GCF of Fractions for 4951/864, 5868/2873 is 1/2482272.