How to Find GCF of 4794/92, 2244/185?

GCF of 4794/92, 2244/185

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 4794/92, 2244/185 i.e 102/17020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4794/92, 2244/185.

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 4794/92,2244/185?

Given fractions are 4794/92,2244/185

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 4794/92,2244/185, numerators are 4794,2244

Denominators are 92,185

The GCF of 4794,2244 is 102 .

LCM of 92,185 is 17020.

The greatest common factor of 4794/92,2244/185 = [GCF of 4794,2244]/[LCM of 92,185]= 102/17020

Therefore, the GCF of 4794/92,2244/185 is 102/17020.

Greatest Common Factor of 4794,2244

To find the highest common factor of 4794,2244, we have to find the factors of both numbers and list the highest common factor.

The factors of 4794 are 1, 2, 3, 6, 17, 34, 47, 51, 94, 102, 141, 282, 799, 1598, 2397, 4794

The factors of 2244 are 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122, 2244

The HCF of 4794,2244 is 102.

Lets's calculate GCF of 4794,2244

Greatest Common Factor (GCF) of 4794,2244 By Common Division

2	4794, 2244
3	2397, 1122
17	799, 374
	47, 22

∴ So the GCF of the given numbers is 2 x 3 x 17 = 102

Greatest Common Factor of 4794,2244 By Matching Biggest Common Factor Method

Now, list down the factors of 4794

1,2,3,6,17,34,47,51,94,102,141,282,799,1598,2397,4794

Now, list down the factors of 2244

1,2,3,4,6,11,12,17,22,33,34,44,51,66,68,102,132,187,204,374,561,748,1122,2244

Greatest Common Factor

We found the factors 4794,2244 . The biggest common factor number is the GCF number.
So the greatest common factor 4794,2244 is 102.

Lets's calculate LCM of 92,185

Lowest Common Multiple of 92,185 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 17020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 102/17020

Therefore, the GCF of Fractions 4794/92,2244/185 is 102/17020

Least Common Multiple of 92,185 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 92,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,185) = 1

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

GCF(92,185) x common factors =1 x 1 = 1

LCM(92,185) = ( 92 × 185 ) / 1

LCM(92,185) = 17020 / 1

LCM(92,185) = 17020

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FAQs on GCF of Fractions of 4794/92, 2244/185

1. What is the HCF of 4794,2244?

The HCF of 4794,2244 is 102

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 4794/92, 2244/185?

Answer: GCF of Numerators as per given numbers 4794/92, 2244/185 is

GCF of Numerators i.e. for 4794,2244 is 102

LCM of denominators i.e. for 92,185 is 17020.

Thus, GCF of Fractions is 102/17020.Finally, GCF of Fractions for 4794/92, 2244/185 is 102/17020.