How to Find GCF of 55/22, 479/11, 129/422?

GCF of 55/22, 479/11, 129/422

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 55/22, 479/11, 129/422 i.e 1/4642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 55/22, 479/11, 129/422.

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 55/22,479/11,129/422?

Given fractions are 55/22,479/11,129/422

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 55/22,479/11,129/422, numerators are 55,479,129

Denominators are 22,11,422

The GCF of 55,479,129 is 1 .

LCM of 22,11,422 is 4642.

The greatest common factor of 55/22,479/11,129/422 = [GCF of 55,479,129]/[LCM of 22,11,422]= 1/4642

Therefore, the GCF of 55/22,479/11,129/422 is 1/4642.

Greatest Common Factor of 55,479,129

To find the highest common factor of 55,479,129, we have to find the factors of both numbers and list the highest common factor.

The factors of 55 are 1, 5, 11, 55

The factors of 479 are 1, 479

The factors of 129 are 1, 3, 43, 129

The HCF of 55,479,129 is 1.

Lets's calculate GCF of 55,479,129

Greatest Common Factor (GCF) of 55,479,129 By Common Division

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

Greatest Common Factor of 55,479,129 By Matching Biggest Common Factor Method

Now, list down the factors of 55

1,5,11,55

Now, list down the factors of 479

1,479

Now, list down the factors of 129

1,3,43,129

Greatest Common Factor

We found the factors 55,479,129 . The biggest common factor number is the GCF number.
So the greatest common factor 55,479,129 is 1.

Lets's calculate LCM of 22,11,422

Lowest Common Multiple of 22,11,422 using Common Division

2	22, 11, 422
11	11, 11, 211
	1, 1, 211

∴ So the LCM of the given numbers is 2 x 11 x 1 x 1 x 211 = 4642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4642

Therefore, the GCF of Fractions 55/22,479/11,129/422 is 1/4642

Least Common Multiple of 22,11,422 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 22,11,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,11,422) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(22,11,422) x common factors =1 x 22 = 22

LCM(22,11,422) = ( 22 × 11 × 422 ) / 22

LCM(22,11,422) = 102124 / 22

LCM(22,11,422) = 4642

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FAQs on GCF of Fractions of 55/22, 479/11, 129/422

1. What is the HCF of 55,479,129?

The HCF of 55,479,129 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 55/22, 479/11, 129/422?

Answer: GCF of Numerators as per given numbers 55/22, 479/11, 129/422 is

GCF of Numerators i.e. for 55,479,129 is 1

LCM of denominators i.e. for 22,11,422 is 4642.

Thus, GCF of Fractions is 1/4642.Finally, GCF of Fractions for 55/22, 479/11, 129/422 is 1/4642.