How to Find GCF of 6703/349, 4281/6931?

GCF of 6703/349, 4281/6931

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 6703/349, 4281/6931 i.e 1/2418919 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6703/349, 4281/6931.

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 6703/349,4281/6931?

Given fractions are 6703/349,4281/6931

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 6703/349,4281/6931, numerators are 6703,4281

Denominators are 349,6931

The GCF of 6703,4281 is 1 .

LCM of 349,6931 is 2418919.

The greatest common factor of 6703/349,4281/6931 = [GCF of 6703,4281]/[LCM of 349,6931]= 1/2418919

Therefore, the GCF of 6703/349,4281/6931 is 1/2418919.

Greatest Common Factor of 6703,4281

To find the highest common factor of 6703,4281, we have to find the factors of both numbers and list the highest common factor.

The factors of 6703 are 1, 6703

The factors of 4281 are 1, 3, 1427, 4281

The HCF of 6703,4281 is 1.

Lets's calculate GCF of 6703,4281

Greatest Common Factor (GCF) of 6703,4281 By Common Division

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

Greatest Common Factor of 6703,4281 By Matching Biggest Common Factor Method

Now, list down the factors of 6703

1,6703

Now, list down the factors of 4281

1,3,1427,4281

Greatest Common Factor

We found the factors 6703,4281 . The biggest common factor number is the GCF number.
So the greatest common factor 6703,4281 is 1.

Lets's calculate LCM of 349,6931

Lowest Common Multiple of 349,6931 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2418919

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2418919

Therefore, the GCF of Fractions 6703/349,4281/6931 is 1/2418919

Least Common Multiple of 349,6931 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 349,6931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,6931) = 1

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

GCF(349,6931) x common factors =1 x 1 = 1

LCM(349,6931) = ( 349 × 6931 ) / 1

LCM(349,6931) = 2418919 / 1

LCM(349,6931) = 2418919

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FAQs on GCF of Fractions of 6703/349, 4281/6931

1. What is the HCF of 6703,4281?

The HCF of 6703,4281 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 6703/349, 4281/6931?

Answer: GCF of Numerators as per given numbers 6703/349, 4281/6931 is

GCF of Numerators i.e. for 6703,4281 is 1

LCM of denominators i.e. for 349,6931 is 2418919.

Thus, GCF of Fractions is 1/2418919.Finally, GCF of Fractions for 6703/349, 4281/6931 is 1/2418919.