How to Find GCF of 4862/175, 4003/4066?

GCF of 4862/175, 4003/4066

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 4862/175, 4003/4066 i.e 1/711550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4862/175, 4003/4066.

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 4862/175,4003/4066?

Given fractions are 4862/175,4003/4066

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 4862/175,4003/4066, numerators are 4862,4003

Denominators are 175,4066

The GCF of 4862,4003 is 1 .

LCM of 175,4066 is 711550.

The greatest common factor of 4862/175,4003/4066 = [GCF of 4862,4003]/[LCM of 175,4066]= 1/711550

Therefore, the GCF of 4862/175,4003/4066 is 1/711550.

Greatest Common Factor of 4862,4003

To find the highest common factor of 4862,4003, we have to find the factors of both numbers and list the highest common factor.

The factors of 4862 are 1, 2, 11, 13, 17, 22, 26, 34, 143, 187, 221, 286, 374, 442, 2431, 4862

The factors of 4003 are 1, 4003

The HCF of 4862,4003 is 1.

Lets's calculate GCF of 4862,4003

Greatest Common Factor (GCF) of 4862,4003 By Common Division

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

Greatest Common Factor of 4862,4003 By Matching Biggest Common Factor Method

Now, list down the factors of 4862

1,2,11,13,17,22,26,34,143,187,221,286,374,442,2431,4862

Now, list down the factors of 4003

1,4003

Greatest Common Factor

We found the factors 4862,4003 . The biggest common factor number is the GCF number.
So the greatest common factor 4862,4003 is 1.

Lets's calculate LCM of 175,4066

Lowest Common Multiple of 175,4066 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 711550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/711550

Therefore, the GCF of Fractions 4862/175,4003/4066 is 1/711550

Least Common Multiple of 175,4066 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 175,4066 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,4066) = 1

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

GCF(175,4066) x common factors =1 x 1 = 1

LCM(175,4066) = ( 175 × 4066 ) / 1

LCM(175,4066) = 711550 / 1

LCM(175,4066) = 711550

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4862/175, 4003/4066

1. What is the HCF of 4862,4003?

The HCF of 4862,4003 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 4862/175, 4003/4066?

Answer: GCF of Numerators as per given numbers 4862/175, 4003/4066 is

GCF of Numerators i.e. for 4862,4003 is 1

LCM of denominators i.e. for 175,4066 is 711550.

Thus, GCF of Fractions is 1/711550.Finally, GCF of Fractions for 4862/175, 4003/4066 is 1/711550.