How to Find GCF of 92/37, 104/54, 223/564?

GCF of 92/37, 104/54, 223/564

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 92/37, 104/54, 223/564 i.e 1/187812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/37, 104/54, 223/564.

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 92/37,104/54,223/564?

Given fractions are 92/37,104/54,223/564

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 92/37,104/54,223/564, numerators are 92,104,223

Denominators are 37,54,564

The GCF of 92,104,223 is 1 .

LCM of 37,54,564 is 187812.

The greatest common factor of 92/37,104/54,223/564 = [GCF of 92,104,223]/[LCM of 37,54,564]= 1/187812

Therefore, the GCF of 92/37,104/54,223/564 is 1/187812.

Greatest Common Factor of 92,104,223

To find the highest common factor of 92,104,223, we have to find the factors of both numbers and list the highest common factor.

The factors of 92 are 1, 2, 4, 23, 46, 92

The factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104

The factors of 223 are 1, 223

The HCF of 92,104,223 is 1.

Lets's calculate GCF of 92,104,223

Greatest Common Factor (GCF) of 92,104,223 By Common Division

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

Greatest Common Factor of 92,104,223 By Matching Biggest Common Factor Method

Now, list down the factors of 92

1,2,4,23,46,92

Now, list down the factors of 104

1,2,4,8,13,26,52,104

Now, list down the factors of 223

1,223

Greatest Common Factor

We found the factors 92,104,223 . The biggest common factor number is the GCF number.
So the greatest common factor 92,104,223 is 1.

Lets's calculate LCM of 37,54,564

Lowest Common Multiple of 37,54,564 using Common Division

2	37, 54, 564
3	37, 27, 282
	37, 9, 94

∴ So the LCM of the given numbers is 2 x 3 x 37 x 9 x 94 = 187812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187812

Therefore, the GCF of Fractions 92/37,104/54,223/564 is 1/187812

Least Common Multiple of 37,54,564 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 37,54,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,54,564) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(37,54,564) x common factors =1 x 6 = 6

LCM(37,54,564) = ( 37 × 54 × 564 ) / 6

LCM(37,54,564) = 1126872 / 6

LCM(37,54,564) = 187812

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FAQs on GCF of Fractions of 92/37, 104/54, 223/564

1. What is the HCF of 92,104,223?

The HCF of 92,104,223 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 92/37, 104/54, 223/564?

Answer: GCF of Numerators as per given numbers 92/37, 104/54, 223/564 is

GCF of Numerators i.e. for 92,104,223 is 1

LCM of denominators i.e. for 37,54,564 is 187812.

Thus, GCF of Fractions is 1/187812.Finally, GCF of Fractions for 92/37, 104/54, 223/564 is 1/187812.