How to Find GCF of 6367/281, 6503/7144?

GCF of 6367/281, 6503/7144

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 6367/281, 6503/7144 i.e 1/2007464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6367/281, 6503/7144.

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 6367/281,6503/7144?

Given fractions are 6367/281,6503/7144

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 6367/281,6503/7144, numerators are 6367,6503

Denominators are 281,7144

The GCF of 6367,6503 is 1 .

LCM of 281,7144 is 2007464.

The greatest common factor of 6367/281,6503/7144 = [GCF of 6367,6503]/[LCM of 281,7144]= 1/2007464

Therefore, the GCF of 6367/281,6503/7144 is 1/2007464.

Greatest Common Factor of 6367,6503

To find the highest common factor of 6367,6503, we have to find the factors of both numbers and list the highest common factor.

The factors of 6367 are 1, 6367

The factors of 6503 are 1, 7, 929, 6503

The HCF of 6367,6503 is 1.

Lets's calculate GCF of 6367,6503

Greatest Common Factor (GCF) of 6367,6503 By Common Division

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

Greatest Common Factor of 6367,6503 By Matching Biggest Common Factor Method

Now, list down the factors of 6367

1,6367

Now, list down the factors of 6503

1,7,929,6503

Greatest Common Factor

We found the factors 6367,6503 . The biggest common factor number is the GCF number.
So the greatest common factor 6367,6503 is 1.

Lets's calculate LCM of 281,7144

Lowest Common Multiple of 281,7144 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2007464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2007464

Therefore, the GCF of Fractions 6367/281,6503/7144 is 1/2007464

Least Common Multiple of 281,7144 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 281,7144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,7144) = 1

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

GCF(281,7144) x common factors =1 x 1 = 1

LCM(281,7144) = ( 281 × 7144 ) / 1

LCM(281,7144) = 2007464 / 1

LCM(281,7144) = 2007464

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FAQs on GCF of Fractions of 6367/281, 6503/7144

1. What is the HCF of 6367,6503?

The HCF of 6367,6503 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 6367/281, 6503/7144?

Answer: GCF of Numerators as per given numbers 6367/281, 6503/7144 is

GCF of Numerators i.e. for 6367,6503 is 1

LCM of denominators i.e. for 281,7144 is 2007464.

Thus, GCF of Fractions is 1/2007464.Finally, GCF of Fractions for 6367/281, 6503/7144 is 1/2007464.