How to Find GCF of 6321/761, 2623/2195?

GCF of 6321/761, 2623/2195

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 6321/761, 2623/2195 i.e 43/1670395 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6321/761, 2623/2195.

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 6321/761,2623/2195?

Given fractions are 6321/761,2623/2195

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 6321/761,2623/2195, numerators are 6321,2623

Denominators are 761,2195

The GCF of 6321,2623 is 43 .

LCM of 761,2195 is 1670395.

The greatest common factor of 6321/761,2623/2195 = [GCF of 6321,2623]/[LCM of 761,2195]= 43/1670395

Therefore, the GCF of 6321/761,2623/2195 is 43/1670395.

Greatest Common Factor of 6321,2623

To find the highest common factor of 6321,2623, we have to find the factors of both numbers and list the highest common factor.

The factors of 6321 are 1, 3, 7, 21, 43, 49, 129, 147, 301, 903, 2107, 6321

The factors of 2623 are 1, 43, 61, 2623

The HCF of 6321,2623 is 43.

Lets's calculate GCF of 6321,2623

Greatest Common Factor (GCF) of 6321,2623 By Common Division

43	6321, 2623
	147, 61

∴ So the GCF of the given numbers is 43 = 43

Greatest Common Factor of 6321,2623 By Matching Biggest Common Factor Method

Now, list down the factors of 6321

1,3,7,21,43,49,129,147,301,903,2107,6321

Now, list down the factors of 2623

1,43,61,2623

Greatest Common Factor

We found the factors 6321,2623 . The biggest common factor number is the GCF number.
So the greatest common factor 6321,2623 is 43.

Lets's calculate LCM of 761,2195

Lowest Common Multiple of 761,2195 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1670395

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/1670395

Therefore, the GCF of Fractions 6321/761,2623/2195 is 43/1670395

Least Common Multiple of 761,2195 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 761,2195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,2195) = 1

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

GCF(761,2195) x common factors =1 x 1 = 1

LCM(761,2195) = ( 761 × 2195 ) / 1

LCM(761,2195) = 1670395 / 1

LCM(761,2195) = 1670395

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FAQs on GCF of Fractions of 6321/761, 2623/2195

1. What is the HCF of 6321,2623?

The HCF of 6321,2623 is 43

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 6321/761, 2623/2195?

Answer: GCF of Numerators as per given numbers 6321/761, 2623/2195 is

GCF of Numerators i.e. for 6321,2623 is 43

LCM of denominators i.e. for 761,2195 is 1670395.

Thus, GCF of Fractions is 43/1670395.Finally, GCF of Fractions for 6321/761, 2623/2195 is 43/1670395.