How to Find GCF of 564/22, 940/2406?

GCF of 564/22, 940/2406

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 564/22, 940/2406 i.e 188/26466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 564/22, 940/2406.

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 564/22,940/2406?

Given fractions are 564/22,940/2406

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 564/22,940/2406, numerators are 564,940

Denominators are 22,2406

The GCF of 564,940 is 188 .

LCM of 22,2406 is 26466.

The greatest common factor of 564/22,940/2406 = [GCF of 564,940]/[LCM of 22,2406]= 188/26466

Therefore, the GCF of 564/22,940/2406 is 188/26466.

Greatest Common Factor of 564,940

To find the highest common factor of 564,940, we have to find the factors of both numbers and list the highest common factor.

The factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

The HCF of 564,940 is 188.

Lets's calculate GCF of 564,940

Greatest Common Factor (GCF) of 564,940 By Common Division

2	564, 940
2	282, 470
47	141, 235
	3, 5

∴ So the GCF of the given numbers is 2 x 2 x 47 = 188

Greatest Common Factor of 564,940 By Matching Biggest Common Factor Method

Now, list down the factors of 564

1,2,3,4,6,12,47,94,141,188,282,564

Now, list down the factors of 940

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 564,940 . The biggest common factor number is the GCF number.
So the greatest common factor 564,940 is 188.

Lets's calculate LCM of 22,2406

Lowest Common Multiple of 22,2406 using Common Division

2	22, 2406
	11, 1203

∴ So the LCM of the given numbers is 2 x 11 x 1203 = 26466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 188/26466

Therefore, the GCF of Fractions 564/22,940/2406 is 188/26466

Least Common Multiple of 22,2406 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 22,2406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,2406) = 2

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

GCF(22,2406) x common factors =2 x 1 = 2

LCM(22,2406) = ( 22 × 2406 ) / 2

LCM(22,2406) = 52932 / 2

LCM(22,2406) = 26466

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FAQs on GCF of Fractions of 564/22, 940/2406

1. What is the HCF of 564,940?

The HCF of 564,940 is 188

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 564/22, 940/2406?

Answer: GCF of Numerators as per given numbers 564/22, 940/2406 is

GCF of Numerators i.e. for 564,940 is 188

LCM of denominators i.e. for 22,2406 is 26466.

Thus, GCF of Fractions is 188/26466.Finally, GCF of Fractions for 564/22, 940/2406 is 188/26466.