How to Find GCF of 3147/159, 4274/7498?

GCF of 3147/159, 4274/7498

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 3147/159, 4274/7498 i.e 1/1192182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3147/159, 4274/7498.

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 3147/159,4274/7498?

Given fractions are 3147/159,4274/7498

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 3147/159,4274/7498, numerators are 3147,4274

Denominators are 159,7498

The GCF of 3147,4274 is 1 .

LCM of 159,7498 is 1192182.

The greatest common factor of 3147/159,4274/7498 = [GCF of 3147,4274]/[LCM of 159,7498]= 1/1192182

Therefore, the GCF of 3147/159,4274/7498 is 1/1192182.

Greatest Common Factor of 3147,4274

To find the highest common factor of 3147,4274, we have to find the factors of both numbers and list the highest common factor.

The factors of 3147 are 1, 3, 1049, 3147

The factors of 4274 are 1, 2, 2137, 4274

The HCF of 3147,4274 is 1.

Lets's calculate GCF of 3147,4274

Greatest Common Factor (GCF) of 3147,4274 By Common Division

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

Greatest Common Factor of 3147,4274 By Matching Biggest Common Factor Method

Now, list down the factors of 3147

1,3,1049,3147

Now, list down the factors of 4274

1,2,2137,4274

Greatest Common Factor

We found the factors 3147,4274 . The biggest common factor number is the GCF number.
So the greatest common factor 3147,4274 is 1.

Lets's calculate LCM of 159,7498

Lowest Common Multiple of 159,7498 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1192182

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1192182

Therefore, the GCF of Fractions 3147/159,4274/7498 is 1/1192182

Least Common Multiple of 159,7498 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 159,7498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(159,7498) = 1

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

GCF(159,7498) x common factors =1 x 1 = 1

LCM(159,7498) = ( 159 × 7498 ) / 1

LCM(159,7498) = 1192182 / 1

LCM(159,7498) = 1192182

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FAQs on GCF of Fractions of 3147/159, 4274/7498

1. What is the HCF of 3147,4274?

The HCF of 3147,4274 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 3147/159, 4274/7498?

Answer: GCF of Numerators as per given numbers 3147/159, 4274/7498 is

GCF of Numerators i.e. for 3147,4274 is 1

LCM of denominators i.e. for 159,7498 is 1192182.

Thus, GCF of Fractions is 1/1192182.Finally, GCF of Fractions for 3147/159, 4274/7498 is 1/1192182.