How to Find GCF of 6305/320, 4967/6362?

GCF of 6305/320, 4967/6362

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 6305/320, 4967/6362 i.e 1/1017920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6305/320, 4967/6362.

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 6305/320,4967/6362?

Given fractions are 6305/320,4967/6362

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 6305/320,4967/6362, numerators are 6305,4967

Denominators are 320,6362

The GCF of 6305,4967 is 1 .

LCM of 320,6362 is 1017920.

The greatest common factor of 6305/320,4967/6362 = [GCF of 6305,4967]/[LCM of 320,6362]= 1/1017920

Therefore, the GCF of 6305/320,4967/6362 is 1/1017920.

Greatest Common Factor of 6305,4967

To find the highest common factor of 6305,4967, we have to find the factors of both numbers and list the highest common factor.

The factors of 6305 are 1, 5, 13, 65, 97, 485, 1261, 6305

The factors of 4967 are 1, 4967

The HCF of 6305,4967 is 1.

Lets's calculate GCF of 6305,4967

Greatest Common Factor (GCF) of 6305,4967 By Common Division

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

Greatest Common Factor of 6305,4967 By Matching Biggest Common Factor Method

Now, list down the factors of 6305

1,5,13,65,97,485,1261,6305

Now, list down the factors of 4967

1,4967

Greatest Common Factor

We found the factors 6305,4967 . The biggest common factor number is the GCF number.
So the greatest common factor 6305,4967 is 1.

Lets's calculate LCM of 320,6362

Lowest Common Multiple of 320,6362 using Common Division

2	320, 6362
	160, 3181

∴ So the LCM of the given numbers is 2 x 160 x 3181 = 1017920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1017920

Therefore, the GCF of Fractions 6305/320,4967/6362 is 1/1017920

Least Common Multiple of 320,6362 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 320,6362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,6362) = 2

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

GCF(320,6362) x common factors =2 x 1 = 2

LCM(320,6362) = ( 320 × 6362 ) / 2

LCM(320,6362) = 2035840 / 2

LCM(320,6362) = 1017920

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FAQs on GCF of Fractions of 6305/320, 4967/6362

1. What is the HCF of 6305,4967?

The HCF of 6305,4967 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 6305/320, 4967/6362?

Answer: GCF of Numerators as per given numbers 6305/320, 4967/6362 is

GCF of Numerators i.e. for 6305,4967 is 1

LCM of denominators i.e. for 320,6362 is 1017920.

Thus, GCF of Fractions is 1/1017920.Finally, GCF of Fractions for 6305/320, 4967/6362 is 1/1017920.