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GCF of 6829/322, 6301/5976

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 6829/322, 6301/5976 i.e 1/962136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6829/322, 6301/5976.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 6829/322,6301/5976?

Given fractions are 6829/322,6301/5976

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 6829/322,6301/5976, numerators are 6829,6301

Denominators are 322,5976

The GCF of 6829,6301 is 1 .

LCM of 322,5976 is 962136.

The greatest common factor of 6829/322,6301/5976 = [GCF of 6829,6301]/[LCM of 322,5976]= 1/962136

Therefore, the GCF of 6829/322,6301/5976 is 1/962136.

Greatest Common Factor of 6829,6301

To find the highest common factor of 6829,6301, we have to find the factors of both numbers and list the highest common factor.

The factors of 6829 are 1, 6829

The factors of 6301 are 1, 6301

The HCF of 6829,6301 is 1.

Lets's calculate GCF of 6829,6301

Greatest Common Factor (GCF) of 6829,6301 By Common Division

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

Greatest Common Factor of 6829,6301 By Matching Biggest Common Factor Method

Greatest Common Factor of 6829,6301 By Matching Biggest Common Factor Method

Now, list down the factors of 6829

:

1,6829

Now, list down the factors of 6301

:

1,6301

Greatest Common Factor

We found the factors 6829,6301 . The biggest common factor number is the GCF number.
So the greatest common factor 6829,6301 is 1.

Lets's calculate LCM of 322,5976

Lowest Common Multiple of 322,5976 using Common Division

2 322, 5976
161, 2988

∴ So the LCM of the given numbers is 2 x 161 x 2988 = 962136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/962136

Therefore, the GCF of Fractions 6829/322,6301/5976 is 1/962136

Least Common Multiple of 322,5976 with GCF Formula

Least Common Multiple of 322,5976 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 322,5976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(322,5976) = 2

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

GCF(322,5976) x common factors =2 x 1 = 2

LCM(322,5976) = ( 322 × 5976 ) / 2

LCM(322,5976) = 1924272 / 2

LCM(322,5976) = 962136


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FAQs on GCF of Fractions of 6829/322, 6301/5976

1. What is the HCF of 6829,6301?

The HCF of 6829,6301 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 6829/322, 6301/5976?

Answer: GCF of Numerators as per given numbers 6829/322, 6301/5976 is

GCF of Numerators i.e. for 6829,6301 is 1

LCM of denominators i.e. for 322,5976 is 962136.

Thus, GCF of Fractions is 1/962136.Finally, GCF of Fractions for 6829/322, 6301/5976 is 1/962136.