How to Find GCF of 14/42, 317/79, 875/895?

GCF of 14/42, 317/79, 875/895

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 14/42, 317/79, 875/895 i.e 1/2969610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/42, 317/79, 875/895.

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 14/42,317/79,875/895?

Given fractions are 14/42,317/79,875/895

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 14/42,317/79,875/895, numerators are 14,317,875

Denominators are 42,79,895

The GCF of 14,317,875 is 1 .

LCM of 42,79,895 is 2969610.

The greatest common factor of 14/42,317/79,875/895 = [GCF of 14,317,875]/[LCM of 42,79,895]= 1/2969610

Therefore, the GCF of 14/42,317/79,875/895 is 1/2969610.

Greatest Common Factor of 14,317,875

To find the highest common factor of 14,317,875, we have to find the factors of both numbers and list the highest common factor.

The factors of 14 are 1, 2, 7, 14

The factors of 317 are 1, 317

The factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875

The HCF of 14,317,875 is 1.

Lets's calculate GCF of 14,317,875

Greatest Common Factor (GCF) of 14,317,875 By Common Division

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

Greatest Common Factor of 14,317,875 By Matching Biggest Common Factor Method

Now, list down the factors of 14

1,2,7,14

Now, list down the factors of 317

1,317

Now, list down the factors of 875

1,5,7,25,35,125,175,875

Greatest Common Factor

We found the factors 14,317,875 . The biggest common factor number is the GCF number.
So the greatest common factor 14,317,875 is 1.

Lets's calculate LCM of 42,79,895

Lowest Common Multiple of 42,79,895 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2969610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2969610

Therefore, the GCF of Fractions 14/42,317/79,875/895 is 1/2969610

Least Common Multiple of 42,79,895 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 42,79,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,79,895) = 1

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

GCF(42,79,895) x common factors =1 x 1 = 1

LCM(42,79,895) = ( 42 × 79 × 895 ) / 1

LCM(42,79,895) = 2969610 / 1

LCM(42,79,895) = 2969610

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 14/42, 317/79, 875/895

1. What is the HCF of 14,317,875?

The HCF of 14,317,875 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 14/42, 317/79, 875/895?

Answer: GCF of Numerators as per given numbers 14/42, 317/79, 875/895 is

GCF of Numerators i.e. for 14,317,875 is 1

LCM of denominators i.e. for 42,79,895 is 2969610.

Thus, GCF of Fractions is 1/2969610.Finally, GCF of Fractions for 14/42, 317/79, 875/895 is 1/2969610.