How to Find GCF of 264/218, 814/647?

GCF of 264/218, 814/647

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 264/218, 814/647 i.e 22/141046 easily. The following is the detailed procedure to determine the greatest common factor of fractions 264/218, 814/647.

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 264/218,814/647?

Given fractions are 264/218,814/647

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 264/218,814/647, numerators are 264,814

Denominators are 218,647

The GCF of 264,814 is 22 .

LCM of 218,647 is 141046.

The greatest common factor of 264/218,814/647 = [GCF of 264,814]/[LCM of 218,647]= 22/141046

Therefore, the GCF of 264/218,814/647 is 22/141046.

Greatest Common Factor of 264,814

To find the highest common factor of 264,814, we have to find the factors of both numbers and list the highest common factor.

The factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

The factors of 814 are 1, 2, 11, 22, 37, 74, 407, 814

The HCF of 264,814 is 22.

Lets's calculate GCF of 264,814

Greatest Common Factor (GCF) of 264,814 By Common Division

2	264, 814
11	132, 407
	12, 37

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 264,814 By Matching Biggest Common Factor Method

Now, list down the factors of 264

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Now, list down the factors of 814

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 264,814 . The biggest common factor number is the GCF number.
So the greatest common factor 264,814 is 22.

Lets's calculate LCM of 218,647

Lowest Common Multiple of 218,647 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 141046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/141046

Therefore, the GCF of Fractions 264/218,814/647 is 22/141046

Least Common Multiple of 218,647 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 218,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,647) = 1

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

GCF(218,647) x common factors =1 x 1 = 1

LCM(218,647) = ( 218 × 647 ) / 1

LCM(218,647) = 141046 / 1

LCM(218,647) = 141046

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FAQs on GCF of Fractions of 264/218, 814/647

1. What is the HCF of 264,814?

The HCF of 264,814 is 22

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 264/218, 814/647?

Answer: GCF of Numerators as per given numbers 264/218, 814/647 is

GCF of Numerators i.e. for 264,814 is 22

LCM of denominators i.e. for 218,647 is 141046.

Thus, GCF of Fractions is 22/141046.Finally, GCF of Fractions for 264/218, 814/647 is 22/141046.