How to Find GCF of 88/41, 469/85, 659/820?

GCF of 88/41, 469/85, 659/820

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 88/41, 469/85, 659/820 i.e 1/13940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 88/41, 469/85, 659/820.

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 88/41,469/85,659/820?

Given fractions are 88/41,469/85,659/820

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 88/41,469/85,659/820, numerators are 88,469,659

Denominators are 41,85,820

The GCF of 88,469,659 is 1 .

LCM of 41,85,820 is 13940.

The greatest common factor of 88/41,469/85,659/820 = [GCF of 88,469,659]/[LCM of 41,85,820]= 1/13940

Therefore, the GCF of 88/41,469/85,659/820 is 1/13940.

Greatest Common Factor of 88,469,659

To find the highest common factor of 88,469,659, we have to find the factors of both numbers and list the highest common factor.

The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88

The factors of 469 are 1, 7, 67, 469

The factors of 659 are 1, 659

The HCF of 88,469,659 is 1.

Lets's calculate GCF of 88,469,659

Greatest Common Factor (GCF) of 88,469,659 By Common Division

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

Greatest Common Factor of 88,469,659 By Matching Biggest Common Factor Method

Now, list down the factors of 88

1,2,4,8,11,22,44,88

Now, list down the factors of 469

1,7,67,469

Now, list down the factors of 659

1,659

Greatest Common Factor

We found the factors 88,469,659 . The biggest common factor number is the GCF number.
So the greatest common factor 88,469,659 is 1.

Lets's calculate LCM of 41,85,820

Lowest Common Multiple of 41,85,820 using Common Division

5	41, 85, 820
41	41, 17, 164
	1, 17, 4

∴ So the LCM of the given numbers is 5 x 41 x 1 x 17 x 4 = 13940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13940

Therefore, the GCF of Fractions 88/41,469/85,659/820 is 1/13940

Least Common Multiple of 41,85,820 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 41,85,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,85,820) = 1

common factors(in case of two or more numbers have common factors) = 205

GCF(41,85,820) x common factors =1 x 205 = 205

LCM(41,85,820) = ( 41 × 85 × 820 ) / 205

LCM(41,85,820) = 2857700 / 205

LCM(41,85,820) = 13940

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FAQs on GCF of Fractions of 88/41, 469/85, 659/820

1. What is the HCF of 88,469,659?

The HCF of 88,469,659 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 88/41, 469/85, 659/820?

Answer: GCF of Numerators as per given numbers 88/41, 469/85, 659/820 is

GCF of Numerators i.e. for 88,469,659 is 1

LCM of denominators i.e. for 41,85,820 is 13940.

Thus, GCF of Fractions is 1/13940.Finally, GCF of Fractions for 88/41, 469/85, 659/820 is 1/13940.