How to Find GCF of 4518/143, 1502/151?

GCF of 4518/143, 1502/151

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 4518/143, 1502/151 i.e 2/21593 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4518/143, 1502/151.

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 4518/143,1502/151?

Given fractions are 4518/143,1502/151

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 4518/143,1502/151, numerators are 4518,1502

Denominators are 143,151

The GCF of 4518,1502 is 2 .

LCM of 143,151 is 21593.

The greatest common factor of 4518/143,1502/151 = [GCF of 4518,1502]/[LCM of 143,151]= 2/21593

Therefore, the GCF of 4518/143,1502/151 is 2/21593.

Greatest Common Factor of 4518,1502

To find the highest common factor of 4518,1502, we have to find the factors of both numbers and list the highest common factor.

The factors of 4518 are 1, 2, 3, 6, 9, 18, 251, 502, 753, 1506, 2259, 4518

The factors of 1502 are 1, 2, 751, 1502

The HCF of 4518,1502 is 2.

Lets's calculate GCF of 4518,1502

Greatest Common Factor (GCF) of 4518,1502 By Common Division

2	4518, 1502
	2259, 751

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4518,1502 By Matching Biggest Common Factor Method

Now, list down the factors of 4518

1,2,3,6,9,18,251,502,753,1506,2259,4518

Now, list down the factors of 1502

1,2,751,1502

Greatest Common Factor

We found the factors 4518,1502 . The biggest common factor number is the GCF number.
So the greatest common factor 4518,1502 is 2.

Lets's calculate LCM of 143,151

Lowest Common Multiple of 143,151 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 21593

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21593

Therefore, the GCF of Fractions 4518/143,1502/151 is 2/21593

Least Common Multiple of 143,151 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 143,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,151) = 1

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

GCF(143,151) x common factors =1 x 1 = 1

LCM(143,151) = ( 143 × 151 ) / 1

LCM(143,151) = 21593 / 1

LCM(143,151) = 21593

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FAQs on GCF of Fractions of 4518/143, 1502/151

1. What is the HCF of 4518,1502?

The HCF of 4518,1502 is 2

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 4518/143, 1502/151?

Answer: GCF of Numerators as per given numbers 4518/143, 1502/151 is

GCF of Numerators i.e. for 4518,1502 is 2

LCM of denominators i.e. for 143,151 is 21593.

Thus, GCF of Fractions is 2/21593.Finally, GCF of Fractions for 4518/143, 1502/151 is 2/21593.