How to Find GCF of 22/128, 5627/1844?

GCF of 22/128, 5627/1844

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 22/128, 5627/1844 i.e 1/59008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/128, 5627/1844.

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 22/128,5627/1844?

Given fractions are 22/128,5627/1844

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 22/128,5627/1844, numerators are 22,5627

Denominators are 128,1844

The GCF of 22,5627 is 1 .

LCM of 128,1844 is 59008.

The greatest common factor of 22/128,5627/1844 = [GCF of 22,5627]/[LCM of 128,1844]= 1/59008

Therefore, the GCF of 22/128,5627/1844 is 1/59008.

Greatest Common Factor of 22,5627

To find the highest common factor of 22,5627, 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 5627 are 1, 17, 331, 5627

The HCF of 22,5627 is 1.

Lets's calculate GCF of 22,5627

Greatest Common Factor (GCF) of 22,5627 By Common Division

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

Greatest Common Factor of 22,5627 By Matching Biggest Common Factor Method

Now, list down the factors of 22

1,2,11,22

Now, list down the factors of 5627

1,17,331,5627

Greatest Common Factor

We found the factors 22,5627 . The biggest common factor number is the GCF number.
So the greatest common factor 22,5627 is 1.

Lets's calculate LCM of 128,1844

Lowest Common Multiple of 128,1844 using Common Division

2	128, 1844
2	64, 922
	32, 461

∴ So the LCM of the given numbers is 2 x 2 x 32 x 461 = 59008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59008

Therefore, the GCF of Fractions 22/128,5627/1844 is 1/59008

Least Common Multiple of 128,1844 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 128,1844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,1844) = 4

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

GCF(128,1844) x common factors =4 x 1 = 4

LCM(128,1844) = ( 128 × 1844 ) / 4

LCM(128,1844) = 236032 / 4

LCM(128,1844) = 59008

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FAQs on GCF of Fractions of 22/128, 5627/1844

1. What is the HCF of 22,5627?

The HCF of 22,5627 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 22/128, 5627/1844?

Answer: GCF of Numerators as per given numbers 22/128, 5627/1844 is

GCF of Numerators i.e. for 22,5627 is 1

LCM of denominators i.e. for 128,1844 is 59008.

Thus, GCF of Fractions is 1/59008.Finally, GCF of Fractions for 22/128, 5627/1844 is 1/59008.