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GCF of 144/89, 364/618

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 144/89, 364/618 i.e 4/55002 easily. The following is the detailed procedure to determine the greatest common factor of fractions 144/89, 364/618.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 144/89,364/618?

Given fractions are 144/89,364/618

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 144/89,364/618, numerators are 144,364

Denominators are 89,618

The GCF of 144,364 is 4 .

LCM of 89,618 is 55002.

The greatest common factor of 144/89,364/618 = [GCF of 144,364]/[LCM of 89,618]= 4/55002

Therefore, the GCF of 144/89,364/618 is 4/55002.

Greatest Common Factor of 144,364

To find the highest common factor of 144,364, we have to find the factors of both numbers and list the highest common factor.

The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

The factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

The HCF of 144,364 is 4.

Lets's calculate GCF of 144,364

Greatest Common Factor (GCF) of 144,364 By Common Division

2 144, 364
2 72, 182
36, 91

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 144,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,364 By Matching Biggest Common Factor Method

Now, list down the factors of 144

:

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Now, list down the factors of 364

:

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 144,364 . The biggest common factor number is the GCF number.
So the greatest common factor 144,364 is 4.

Lets's calculate LCM of 89,618

Lowest Common Multiple of 89,618 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 55002

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/55002

Therefore, the GCF of Fractions 144/89,364/618 is 4/55002

Least Common Multiple of 89,618 with GCF Formula

Least Common Multiple of 89,618 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 89,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,618) = 1

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

GCF(89,618) x common factors =1 x 1 = 1

LCM(89,618) = ( 89 × 618 ) / 1

LCM(89,618) = 55002 / 1

LCM(89,618) = 55002


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 144/89, 364/618

1. What is the HCF of 144,364?

The HCF of 144,364 is 4

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 144/89, 364/618?

Answer: GCF of Numerators as per given numbers 144/89, 364/618 is

GCF of Numerators i.e. for 144,364 is 4

LCM of denominators i.e. for 89,618 is 55002.

Thus, GCF of Fractions is 4/55002.Finally, GCF of Fractions for 144/89, 364/618 is 4/55002.