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GCF of 22/422, 4154/1474

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 22/422, 4154/1474 i.e 2/311014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/422, 4154/1474.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 22/422,4154/1474?

Given fractions are 22/422,4154/1474

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 22/422,4154/1474, numerators are 22,4154

Denominators are 422,1474

The GCF of 22,4154 is 2 .

LCM of 422,1474 is 311014.

The greatest common factor of 22/422,4154/1474 = [GCF of 22,4154]/[LCM of 422,1474]= 2/311014

Therefore, the GCF of 22/422,4154/1474 is 2/311014.

Greatest Common Factor of 22,4154

To find the highest common factor of 22,4154, we have to find the factors of both numbers and list the highest common factor.

The factors of 22 are 1, 2, 11, 22

The factors of 4154 are 1, 2, 31, 62, 67, 134, 2077, 4154

The HCF of 22,4154 is 2.

Lets's calculate GCF of 22,4154

Greatest Common Factor (GCF) of 22,4154 By Common Division

2 22, 4154
11, 2077

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

Greatest Common Factor of 22,4154 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,4154 By Matching Biggest Common Factor Method

Now, list down the factors of 22

:

1,2,11,22

Now, list down the factors of 4154

:

1,2,31,62,67,134,2077,4154

Greatest Common Factor

We found the factors 22,4154 . The biggest common factor number is the GCF number.
So the greatest common factor 22,4154 is 2.

Lets's calculate LCM of 422,1474

Lowest Common Multiple of 422,1474 using Common Division

2 422, 1474
211, 737

∴ So the LCM of the given numbers is 2 x 211 x 737 = 311014

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/311014

Therefore, the GCF of Fractions 22/422,4154/1474 is 2/311014

Least Common Multiple of 422,1474 with GCF Formula

Least Common Multiple of 422,1474 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 422,1474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,1474) = 2

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

GCF(422,1474) x common factors =2 x 1 = 2

LCM(422,1474) = ( 422 × 1474 ) / 2

LCM(422,1474) = 622028 / 2

LCM(422,1474) = 311014


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FAQs on GCF of Fractions of 22/422, 4154/1474

1. What is the HCF of 22,4154?

The HCF of 22,4154 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 22/422, 4154/1474?

Answer: GCF of Numerators as per given numbers 22/422, 4154/1474 is

GCF of Numerators i.e. for 22,4154 is 2

LCM of denominators i.e. for 422,1474 is 311014.

Thus, GCF of Fractions is 2/311014.Finally, GCF of Fractions for 22/422, 4154/1474 is 2/311014.