How to Find GCF of 8875/429, 6951/6038?

GCF of 8875/429, 6951/6038

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 8875/429, 6951/6038 i.e 1/2590302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8875/429, 6951/6038.

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 8875/429,6951/6038?

Given fractions are 8875/429,6951/6038

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 8875/429,6951/6038, numerators are 8875,6951

Denominators are 429,6038

The GCF of 8875,6951 is 1 .

LCM of 429,6038 is 2590302.

The greatest common factor of 8875/429,6951/6038 = [GCF of 8875,6951]/[LCM of 429,6038]= 1/2590302

Therefore, the GCF of 8875/429,6951/6038 is 1/2590302.

Greatest Common Factor of 8875,6951

To find the highest common factor of 8875,6951, we have to find the factors of both numbers and list the highest common factor.

The factors of 8875 are 1, 5, 25, 71, 125, 355, 1775, 8875

The factors of 6951 are 1, 3, 7, 21, 331, 993, 2317, 6951

The HCF of 8875,6951 is 1.

Lets's calculate GCF of 8875,6951

Greatest Common Factor (GCF) of 8875,6951 By Common Division

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

Greatest Common Factor of 8875,6951 By Matching Biggest Common Factor Method

Now, list down the factors of 8875

1,5,25,71,125,355,1775,8875

Now, list down the factors of 6951

1,3,7,21,331,993,2317,6951

Greatest Common Factor

We found the factors 8875,6951 . The biggest common factor number is the GCF number.
So the greatest common factor 8875,6951 is 1.

Lets's calculate LCM of 429,6038

Lowest Common Multiple of 429,6038 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2590302

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2590302

Therefore, the GCF of Fractions 8875/429,6951/6038 is 1/2590302

Least Common Multiple of 429,6038 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 429,6038 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,6038) = 1

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

GCF(429,6038) x common factors =1 x 1 = 1

LCM(429,6038) = ( 429 × 6038 ) / 1

LCM(429,6038) = 2590302 / 1

LCM(429,6038) = 2590302

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8875/429, 6951/6038

1. What is the HCF of 8875,6951?

The HCF of 8875,6951 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 8875/429, 6951/6038?

Answer: GCF of Numerators as per given numbers 8875/429, 6951/6038 is

GCF of Numerators i.e. for 8875,6951 is 1

LCM of denominators i.e. for 429,6038 is 2590302.

Thus, GCF of Fractions is 1/2590302.Finally, GCF of Fractions for 8875/429, 6951/6038 is 1/2590302.