How to Find GCF of 184/90, 276/7891?

GCF of 184/90, 276/7891

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 184/90, 276/7891 i.e 92/710190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 184/90, 276/7891.

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 184/90,276/7891?

Given fractions are 184/90,276/7891

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 184/90,276/7891, numerators are 184,276

Denominators are 90,7891

The GCF of 184,276 is 92 .

LCM of 90,7891 is 710190.

The greatest common factor of 184/90,276/7891 = [GCF of 184,276]/[LCM of 90,7891]= 92/710190

Therefore, the GCF of 184/90,276/7891 is 92/710190.

Greatest Common Factor of 184,276

To find the highest common factor of 184,276, we have to find the factors of both numbers and list the highest common factor.

The factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184

The factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

The HCF of 184,276 is 92.

Lets's calculate GCF of 184,276

Greatest Common Factor (GCF) of 184,276 By Common Division

2	184, 276
2	92, 138
23	46, 69
	2, 3

∴ So the GCF of the given numbers is 2 x 2 x 23 = 92

Greatest Common Factor of 184,276 By Matching Biggest Common Factor Method

Now, list down the factors of 184

1,2,4,8,23,46,92,184

Now, list down the factors of 276

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 184,276 . The biggest common factor number is the GCF number.
So the greatest common factor 184,276 is 92.

Lets's calculate LCM of 90,7891

Lowest Common Multiple of 90,7891 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 710190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 92/710190

Therefore, the GCF of Fractions 184/90,276/7891 is 92/710190

Least Common Multiple of 90,7891 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 90,7891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,7891) = 1

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

GCF(90,7891) x common factors =1 x 1 = 1

LCM(90,7891) = ( 90 × 7891 ) / 1

LCM(90,7891) = 710190 / 1

LCM(90,7891) = 710190

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FAQs on GCF of Fractions of 184/90, 276/7891

1. What is the HCF of 184,276?

The HCF of 184,276 is 92

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 184/90, 276/7891?

Answer: GCF of Numerators as per given numbers 184/90, 276/7891 is

GCF of Numerators i.e. for 184,276 is 92

LCM of denominators i.e. for 90,7891 is 710190.

Thus, GCF of Fractions is 92/710190.Finally, GCF of Fractions for 184/90, 276/7891 is 92/710190.