How to Find GCF of 22/11, 899/30, 440/149?

GCF of 22/11, 899/30, 440/149

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 22/11, 899/30, 440/149 i.e 1/49170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/11, 899/30, 440/149.

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 22/11,899/30,440/149?

Given fractions are 22/11,899/30,440/149

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 22/11,899/30,440/149, numerators are 22,899,440

Denominators are 11,30,149

The GCF of 22,899,440 is 1 .

LCM of 11,30,149 is 49170.

The greatest common factor of 22/11,899/30,440/149 = [GCF of 22,899,440]/[LCM of 11,30,149]= 1/49170

Therefore, the GCF of 22/11,899/30,440/149 is 1/49170.

Greatest Common Factor of 22,899,440

To find the highest common factor of 22,899,440, 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 899 are 1, 29, 31, 899

The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

The HCF of 22,899,440 is 1.

Lets's calculate GCF of 22,899,440

Greatest Common Factor (GCF) of 22,899,440 By Common Division

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

Greatest Common Factor of 22,899,440 By Matching Biggest Common Factor Method

Now, list down the factors of 22

1,2,11,22

Now, list down the factors of 899

1,29,31,899

Now, list down the factors of 440

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 22,899,440 . The biggest common factor number is the GCF number.
So the greatest common factor 22,899,440 is 1.

Lets's calculate LCM of 11,30,149

Lowest Common Multiple of 11,30,149 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 49170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49170

Therefore, the GCF of Fractions 22/11,899/30,440/149 is 1/49170

Least Common Multiple of 11,30,149 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 11,30,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,30,149) = 1

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

GCF(11,30,149) x common factors =1 x 1 = 1

LCM(11,30,149) = ( 11 × 30 × 149 ) / 1

LCM(11,30,149) = 49170 / 1

LCM(11,30,149) = 49170

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FAQs on GCF of Fractions of 22/11, 899/30, 440/149

1. What is the HCF of 22,899,440?

The HCF of 22,899,440 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 22/11, 899/30, 440/149?

Answer: GCF of Numerators as per given numbers 22/11, 899/30, 440/149 is

GCF of Numerators i.e. for 22,899,440 is 1

LCM of denominators i.e. for 11,30,149 is 49170.

Thus, GCF of Fractions is 1/49170.Finally, GCF of Fractions for 22/11, 899/30, 440/149 is 1/49170.