How to Find GCF of 3099/892, 5161/2533?

GCF of 3099/892, 5161/2533

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 3099/892, 5161/2533 i.e 1/2259436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3099/892, 5161/2533.

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 3099/892,5161/2533?

Given fractions are 3099/892,5161/2533

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 3099/892,5161/2533, numerators are 3099,5161

Denominators are 892,2533

The GCF of 3099,5161 is 1 .

LCM of 892,2533 is 2259436.

The greatest common factor of 3099/892,5161/2533 = [GCF of 3099,5161]/[LCM of 892,2533]= 1/2259436

Therefore, the GCF of 3099/892,5161/2533 is 1/2259436.

Greatest Common Factor of 3099,5161

To find the highest common factor of 3099,5161, we have to find the factors of both numbers and list the highest common factor.

The factors of 3099 are 1, 3, 1033, 3099

The factors of 5161 are 1, 13, 397, 5161

The HCF of 3099,5161 is 1.

Lets's calculate GCF of 3099,5161

Greatest Common Factor (GCF) of 3099,5161 By Common Division

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

Greatest Common Factor of 3099,5161 By Matching Biggest Common Factor Method

Now, list down the factors of 3099

1,3,1033,3099

Now, list down the factors of 5161

1,13,397,5161

Greatest Common Factor

We found the factors 3099,5161 . The biggest common factor number is the GCF number.
So the greatest common factor 3099,5161 is 1.

Lets's calculate LCM of 892,2533

Lowest Common Multiple of 892,2533 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2259436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2259436

Therefore, the GCF of Fractions 3099/892,5161/2533 is 1/2259436

Least Common Multiple of 892,2533 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 892,2533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,2533) = 1

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

GCF(892,2533) x common factors =1 x 1 = 1

LCM(892,2533) = ( 892 × 2533 ) / 1

LCM(892,2533) = 2259436 / 1

LCM(892,2533) = 2259436

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FAQs on GCF of Fractions of 3099/892, 5161/2533

1. What is the HCF of 3099,5161?

The HCF of 3099,5161 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 3099/892, 5161/2533?

Answer: GCF of Numerators as per given numbers 3099/892, 5161/2533 is

GCF of Numerators i.e. for 3099,5161 is 1

LCM of denominators i.e. for 892,2533 is 2259436.

Thus, GCF of Fractions is 1/2259436.Finally, GCF of Fractions for 3099/892, 5161/2533 is 1/2259436.