How to Find GCF of 4792/467, 1063/6154?

GCF of 4792/467, 1063/6154

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 4792/467, 1063/6154 i.e 1/2873918 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4792/467, 1063/6154.

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 4792/467,1063/6154?

Given fractions are 4792/467,1063/6154

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 4792/467,1063/6154, numerators are 4792,1063

Denominators are 467,6154

The GCF of 4792,1063 is 1 .

LCM of 467,6154 is 2873918.

The greatest common factor of 4792/467,1063/6154 = [GCF of 4792,1063]/[LCM of 467,6154]= 1/2873918

Therefore, the GCF of 4792/467,1063/6154 is 1/2873918.

Greatest Common Factor of 4792,1063

To find the highest common factor of 4792,1063, we have to find the factors of both numbers and list the highest common factor.

The factors of 4792 are 1, 2, 4, 8, 599, 1198, 2396, 4792

The factors of 1063 are 1, 1063

The HCF of 4792,1063 is 1.

Lets's calculate GCF of 4792,1063

Greatest Common Factor (GCF) of 4792,1063 By Common Division

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

Greatest Common Factor of 4792,1063 By Matching Biggest Common Factor Method

Now, list down the factors of 4792

1,2,4,8,599,1198,2396,4792

Now, list down the factors of 1063

1,1063

Greatest Common Factor

We found the factors 4792,1063 . The biggest common factor number is the GCF number.
So the greatest common factor 4792,1063 is 1.

Lets's calculate LCM of 467,6154

Lowest Common Multiple of 467,6154 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2873918

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2873918

Therefore, the GCF of Fractions 4792/467,1063/6154 is 1/2873918

Least Common Multiple of 467,6154 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 467,6154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,6154) = 1

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

GCF(467,6154) x common factors =1 x 1 = 1

LCM(467,6154) = ( 467 × 6154 ) / 1

LCM(467,6154) = 2873918 / 1

LCM(467,6154) = 2873918

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FAQs on GCF of Fractions of 4792/467, 1063/6154

1. What is the HCF of 4792,1063?

The HCF of 4792,1063 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 4792/467, 1063/6154?

Answer: GCF of Numerators as per given numbers 4792/467, 1063/6154 is

GCF of Numerators i.e. for 4792,1063 is 1

LCM of denominators i.e. for 467,6154 is 2873918.

Thus, GCF of Fractions is 1/2873918.Finally, GCF of Fractions for 4792/467, 1063/6154 is 1/2873918.