How to Find GCF of 660/237, 2194/4712?

GCF of 660/237, 2194/4712

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 660/237, 2194/4712 i.e 2/1116744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 660/237, 2194/4712.

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 660/237,2194/4712?

Given fractions are 660/237,2194/4712

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 660/237,2194/4712, numerators are 660,2194

Denominators are 237,4712

The GCF of 660,2194 is 2 .

LCM of 237,4712 is 1116744.

The greatest common factor of 660/237,2194/4712 = [GCF of 660,2194]/[LCM of 237,4712]= 2/1116744

Therefore, the GCF of 660/237,2194/4712 is 2/1116744.

Greatest Common Factor of 660,2194

To find the highest common factor of 660,2194, we have to find the factors of both numbers and list the highest common factor.

The factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

The factors of 2194 are 1, 2, 1097, 2194

The HCF of 660,2194 is 2.

Lets's calculate GCF of 660,2194

Greatest Common Factor (GCF) of 660,2194 By Common Division

2	660, 2194
	330, 1097

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

Greatest Common Factor of 660,2194 By Matching Biggest Common Factor Method

Now, list down the factors of 660

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Now, list down the factors of 2194

1,2,1097,2194

Greatest Common Factor

We found the factors 660,2194 . The biggest common factor number is the GCF number.
So the greatest common factor 660,2194 is 2.

Lets's calculate LCM of 237,4712

Lowest Common Multiple of 237,4712 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1116744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1116744

Therefore, the GCF of Fractions 660/237,2194/4712 is 2/1116744

Least Common Multiple of 237,4712 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 237,4712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,4712) = 1

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

GCF(237,4712) x common factors =1 x 1 = 1

LCM(237,4712) = ( 237 × 4712 ) / 1

LCM(237,4712) = 1116744 / 1

LCM(237,4712) = 1116744

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FAQs on GCF of Fractions of 660/237, 2194/4712

1. What is the HCF of 660,2194?

The HCF of 660,2194 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 660/237, 2194/4712?

Answer: GCF of Numerators as per given numbers 660/237, 2194/4712 is

GCF of Numerators i.e. for 660,2194 is 2

LCM of denominators i.e. for 237,4712 is 1116744.

Thus, GCF of Fractions is 2/1116744.Finally, GCF of Fractions for 660/237, 2194/4712 is 2/1116744.