How to Find GCF of 6215/761, 4227/5547?

GCF of 6215/761, 4227/5547

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 6215/761, 4227/5547 i.e 1/4221267 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6215/761, 4227/5547.

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 6215/761,4227/5547?

Given fractions are 6215/761,4227/5547

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 6215/761,4227/5547, numerators are 6215,4227

Denominators are 761,5547

The GCF of 6215,4227 is 1 .

LCM of 761,5547 is 4221267.

The greatest common factor of 6215/761,4227/5547 = [GCF of 6215,4227]/[LCM of 761,5547]= 1/4221267

Therefore, the GCF of 6215/761,4227/5547 is 1/4221267.

Greatest Common Factor of 6215,4227

To find the highest common factor of 6215,4227, we have to find the factors of both numbers and list the highest common factor.

The factors of 6215 are 1, 5, 11, 55, 113, 565, 1243, 6215

The factors of 4227 are 1, 3, 1409, 4227

The HCF of 6215,4227 is 1.

Lets's calculate GCF of 6215,4227

Greatest Common Factor (GCF) of 6215,4227 By Common Division

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

Greatest Common Factor of 6215,4227 By Matching Biggest Common Factor Method

Now, list down the factors of 6215

1,5,11,55,113,565,1243,6215

Now, list down the factors of 4227

1,3,1409,4227

Greatest Common Factor

We found the factors 6215,4227 . The biggest common factor number is the GCF number.
So the greatest common factor 6215,4227 is 1.

Lets's calculate LCM of 761,5547

Lowest Common Multiple of 761,5547 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4221267

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4221267

Therefore, the GCF of Fractions 6215/761,4227/5547 is 1/4221267

Least Common Multiple of 761,5547 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 761,5547 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,5547) = 1

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

GCF(761,5547) x common factors =1 x 1 = 1

LCM(761,5547) = ( 761 × 5547 ) / 1

LCM(761,5547) = 4221267 / 1

LCM(761,5547) = 4221267

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FAQs on GCF of Fractions of 6215/761, 4227/5547

1. What is the HCF of 6215,4227?

The HCF of 6215,4227 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 6215/761, 4227/5547?

Answer: GCF of Numerators as per given numbers 6215/761, 4227/5547 is

GCF of Numerators i.e. for 6215,4227 is 1

LCM of denominators i.e. for 761,5547 is 4221267.

Thus, GCF of Fractions is 1/4221267.Finally, GCF of Fractions for 6215/761, 4227/5547 is 1/4221267.