How to Find GCF of 803/483, 4631/146?

GCF of 803/483, 4631/146

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 803/483, 4631/146 i.e 11/70518 easily. The following is the detailed procedure to determine the greatest common factor of fractions 803/483, 4631/146.

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 803/483,4631/146?

Given fractions are 803/483,4631/146

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 803/483,4631/146, numerators are 803,4631

Denominators are 483,146

The GCF of 803,4631 is 11 .

LCM of 483,146 is 70518.

The greatest common factor of 803/483,4631/146 = [GCF of 803,4631]/[LCM of 483,146]= 11/70518

Therefore, the GCF of 803/483,4631/146 is 11/70518.

Greatest Common Factor of 803,4631

To find the highest common factor of 803,4631, we have to find the factors of both numbers and list the highest common factor.

The factors of 803 are 1, 11, 73, 803

The factors of 4631 are 1, 11, 421, 4631

The HCF of 803,4631 is 11.

Lets's calculate GCF of 803,4631

Greatest Common Factor (GCF) of 803,4631 By Common Division

11	803, 4631
	73, 421

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 803,4631 By Matching Biggest Common Factor Method

Now, list down the factors of 803

1,11,73,803

Now, list down the factors of 4631

1,11,421,4631

Greatest Common Factor

We found the factors 803,4631 . The biggest common factor number is the GCF number.
So the greatest common factor 803,4631 is 11.

Lets's calculate LCM of 483,146

Lowest Common Multiple of 483,146 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 70518

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/70518

Therefore, the GCF of Fractions 803/483,4631/146 is 11/70518

Least Common Multiple of 483,146 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 483,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,146) = 1

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

GCF(483,146) x common factors =1 x 1 = 1

LCM(483,146) = ( 483 × 146 ) / 1

LCM(483,146) = 70518 / 1

LCM(483,146) = 70518

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FAQs on GCF of Fractions of 803/483, 4631/146

1. What is the HCF of 803,4631?

The HCF of 803,4631 is 11

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 803/483, 4631/146?

Answer: GCF of Numerators as per given numbers 803/483, 4631/146 is

GCF of Numerators i.e. for 803,4631 is 11

LCM of denominators i.e. for 483,146 is 70518.

Thus, GCF of Fractions is 11/70518.Finally, GCF of Fractions for 803/483, 4631/146 is 11/70518.