How to Find GCF of 6758/179, 4226/2213?

GCF of 6758/179, 4226/2213

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 6758/179, 4226/2213 i.e 2/396127 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6758/179, 4226/2213.

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 6758/179,4226/2213?

Given fractions are 6758/179,4226/2213

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 6758/179,4226/2213, numerators are 6758,4226

Denominators are 179,2213

The GCF of 6758,4226 is 2 .

LCM of 179,2213 is 396127.

The greatest common factor of 6758/179,4226/2213 = [GCF of 6758,4226]/[LCM of 179,2213]= 2/396127

Therefore, the GCF of 6758/179,4226/2213 is 2/396127.

Greatest Common Factor of 6758,4226

To find the highest common factor of 6758,4226, we have to find the factors of both numbers and list the highest common factor.

The factors of 6758 are 1, 2, 31, 62, 109, 218, 3379, 6758

The factors of 4226 are 1, 2, 2113, 4226

The HCF of 6758,4226 is 2.

Lets's calculate GCF of 6758,4226

Greatest Common Factor (GCF) of 6758,4226 By Common Division

2	6758, 4226
	3379, 2113

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6758,4226 By Matching Biggest Common Factor Method

Now, list down the factors of 6758

1,2,31,62,109,218,3379,6758

Now, list down the factors of 4226

1,2,2113,4226

Greatest Common Factor

We found the factors 6758,4226 . The biggest common factor number is the GCF number.
So the greatest common factor 6758,4226 is 2.

Lets's calculate LCM of 179,2213

Lowest Common Multiple of 179,2213 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 396127

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/396127

Therefore, the GCF of Fractions 6758/179,4226/2213 is 2/396127

Least Common Multiple of 179,2213 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 179,2213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,2213) = 1

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

GCF(179,2213) x common factors =1 x 1 = 1

LCM(179,2213) = ( 179 × 2213 ) / 1

LCM(179,2213) = 396127 / 1

LCM(179,2213) = 396127

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FAQs on GCF of Fractions of 6758/179, 4226/2213

1. What is the HCF of 6758,4226?

The HCF of 6758,4226 is 2

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 6758/179, 4226/2213?

Answer: GCF of Numerators as per given numbers 6758/179, 4226/2213 is

GCF of Numerators i.e. for 6758,4226 is 2

LCM of denominators i.e. for 179,2213 is 396127.

Thus, GCF of Fractions is 2/396127.Finally, GCF of Fractions for 6758/179, 4226/2213 is 2/396127.