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GCF of 7305/266, 2179/817

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 7305/266, 2179/817 i.e 1/11438 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7305/266, 2179/817.

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 7305/266,2179/817?

Given fractions are 7305/266,2179/817

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 7305/266,2179/817, numerators are 7305,2179

Denominators are 266,817

The GCF of 7305,2179 is 1 .

LCM of 266,817 is 11438.

The greatest common factor of 7305/266,2179/817 = [GCF of 7305,2179]/[LCM of 266,817]= 1/11438

Therefore, the GCF of 7305/266,2179/817 is 1/11438.

Greatest Common Factor of 7305,2179

To find the highest common factor of 7305,2179, we have to find the factors of both numbers and list the highest common factor.

The factors of 7305 are 1, 3, 5, 15, 487, 1461, 2435, 7305

The factors of 2179 are 1, 2179

The HCF of 7305,2179 is 1.

Lets's calculate GCF of 7305,2179

Greatest Common Factor (GCF) of 7305,2179 By Common Division

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

Greatest Common Factor of 7305,2179 By Matching Biggest Common Factor Method

Greatest Common Factor of 7305,2179 By Matching Biggest Common Factor Method

Now, list down the factors of 7305

:

1,3,5,15,487,1461,2435,7305

Now, list down the factors of 2179

:

1,2179

Greatest Common Factor

We found the factors 7305,2179 . The biggest common factor number is the GCF number.
So the greatest common factor 7305,2179 is 1.

Lets's calculate LCM of 266,817

Lowest Common Multiple of 266,817 using Common Division

19 266, 817
14, 43

∴ So the LCM of the given numbers is 19 x 14 x 43 = 11438

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11438

Therefore, the GCF of Fractions 7305/266,2179/817 is 1/11438

Least Common Multiple of 266,817 with GCF Formula

Least Common Multiple of 266,817 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 266,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(266,817) = 19

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

GCF(266,817) x common factors =19 x 1 = 19

LCM(266,817) = ( 266 × 817 ) / 19

LCM(266,817) = 217322 / 19

LCM(266,817) = 11438


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FAQs on GCF of Fractions of 7305/266, 2179/817

1. What is the HCF of 7305,2179?

The HCF of 7305,2179 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 7305/266, 2179/817?

Answer: GCF of Numerators as per given numbers 7305/266, 2179/817 is

GCF of Numerators i.e. for 7305,2179 is 1

LCM of denominators i.e. for 266,817 is 11438.

Thus, GCF of Fractions is 1/11438.Finally, GCF of Fractions for 7305/266, 2179/817 is 1/11438.