How to Find GCF of 22/90, 942/38, 541/517?

GCF of 22/90, 942/38, 541/517

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 22/90, 942/38, 541/517 i.e 1/884070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/90, 942/38, 541/517.

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 22/90,942/38,541/517?

Given fractions are 22/90,942/38,541/517

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 22/90,942/38,541/517, numerators are 22,942,541

Denominators are 90,38,517

The GCF of 22,942,541 is 1 .

LCM of 90,38,517 is 884070.

The greatest common factor of 22/90,942/38,541/517 = [GCF of 22,942,541]/[LCM of 90,38,517]= 1/884070

Therefore, the GCF of 22/90,942/38,541/517 is 1/884070.

Greatest Common Factor of 22,942,541

To find the highest common factor of 22,942,541, 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 942 are 1, 2, 3, 6, 157, 314, 471, 942

The factors of 541 are 1, 541

The HCF of 22,942,541 is 1.

Lets's calculate GCF of 22,942,541

Greatest Common Factor (GCF) of 22,942,541 By Common Division

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

Greatest Common Factor of 22,942,541 By Matching Biggest Common Factor Method

Now, list down the factors of 22

1,2,11,22

Now, list down the factors of 942

1,2,3,6,157,314,471,942

Now, list down the factors of 541

1,541

Greatest Common Factor

We found the factors 22,942,541 . The biggest common factor number is the GCF number.
So the greatest common factor 22,942,541 is 1.

Lets's calculate LCM of 90,38,517

Lowest Common Multiple of 90,38,517 using Common Division

2	90, 38, 517
	45, 19, 517

∴ So the LCM of the given numbers is 2 x 45 x 19 x 517 = 884070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/884070

Therefore, the GCF of Fractions 22/90,942/38,541/517 is 1/884070

Least Common Multiple of 90,38,517 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 90,38,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,38,517) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(90,38,517) x common factors =1 x 2 = 2

LCM(90,38,517) = ( 90 × 38 × 517 ) / 2

LCM(90,38,517) = 1768140 / 2

LCM(90,38,517) = 884070

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 22/90, 942/38, 541/517

1. What is the HCF of 22,942,541?

The HCF of 22,942,541 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 22/90, 942/38, 541/517?

Answer: GCF of Numerators as per given numbers 22/90, 942/38, 541/517 is

GCF of Numerators i.e. for 22,942,541 is 1

LCM of denominators i.e. for 90,38,517 is 884070.

Thus, GCF of Fractions is 1/884070.Finally, GCF of Fractions for 22/90, 942/38, 541/517 is 1/884070.