How to Find GCF of 418/61, 264/1117?

GCF of 418/61, 264/1117

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 418/61, 264/1117 i.e 22/68137 easily. The following is the detailed procedure to determine the greatest common factor of fractions 418/61, 264/1117.

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 418/61,264/1117?

Given fractions are 418/61,264/1117

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 418/61,264/1117, numerators are 418,264

Denominators are 61,1117

The GCF of 418,264 is 22 .

LCM of 61,1117 is 68137.

The greatest common factor of 418/61,264/1117 = [GCF of 418,264]/[LCM of 61,1117]= 22/68137

Therefore, the GCF of 418/61,264/1117 is 22/68137.

Greatest Common Factor of 418,264

To find the highest common factor of 418,264, we have to find the factors of both numbers and list the highest common factor.

The factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418

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

The HCF of 418,264 is 22.

Lets's calculate GCF of 418,264

Greatest Common Factor (GCF) of 418,264 By Common Division

2	418, 264
11	209, 132
	19, 12

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

Greatest Common Factor of 418,264 By Matching Biggest Common Factor Method

Now, list down the factors of 418

1,2,11,19,22,38,209,418

Now, list down the factors of 264

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

Greatest Common Factor

We found the factors 418,264 . The biggest common factor number is the GCF number.
So the greatest common factor 418,264 is 22.

Lets's calculate LCM of 61,1117

Lowest Common Multiple of 61,1117 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 68137

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/68137

Therefore, the GCF of Fractions 418/61,264/1117 is 22/68137

Least Common Multiple of 61,1117 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 61,1117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,1117) = 1

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

GCF(61,1117) x common factors =1 x 1 = 1

LCM(61,1117) = ( 61 × 1117 ) / 1

LCM(61,1117) = 68137 / 1

LCM(61,1117) = 68137

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FAQs on GCF of Fractions of 418/61, 264/1117

1. What is the HCF of 418,264?

The HCF of 418,264 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 418/61, 264/1117?

Answer: GCF of Numerators as per given numbers 418/61, 264/1117 is

GCF of Numerators i.e. for 418,264 is 22

LCM of denominators i.e. for 61,1117 is 68137.

Thus, GCF of Fractions is 22/68137.Finally, GCF of Fractions for 418/61, 264/1117 is 22/68137.