How to Find GCF of 4818/180, 9557/5432?

GCF of 4818/180, 9557/5432

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 4818/180, 9557/5432 i.e 1/244440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4818/180, 9557/5432.

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 4818/180,9557/5432?

Given fractions are 4818/180,9557/5432

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 4818/180,9557/5432, numerators are 4818,9557

Denominators are 180,5432

The GCF of 4818,9557 is 1 .

LCM of 180,5432 is 244440.

The greatest common factor of 4818/180,9557/5432 = [GCF of 4818,9557]/[LCM of 180,5432]= 1/244440

Therefore, the GCF of 4818/180,9557/5432 is 1/244440.

Greatest Common Factor of 4818,9557

To find the highest common factor of 4818,9557, we have to find the factors of both numbers and list the highest common factor.

The factors of 4818 are 1, 2, 3, 6, 11, 22, 33, 66, 73, 146, 219, 438, 803, 1606, 2409, 4818

The factors of 9557 are 1, 19, 503, 9557

The HCF of 4818,9557 is 1.

Lets's calculate GCF of 4818,9557

Greatest Common Factor (GCF) of 4818,9557 By Common Division

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

Greatest Common Factor of 4818,9557 By Matching Biggest Common Factor Method

Now, list down the factors of 4818

1,2,3,6,11,22,33,66,73,146,219,438,803,1606,2409,4818

Now, list down the factors of 9557

1,19,503,9557

Greatest Common Factor

We found the factors 4818,9557 . The biggest common factor number is the GCF number.
So the greatest common factor 4818,9557 is 1.

Lets's calculate LCM of 180,5432

Lowest Common Multiple of 180,5432 using Common Division

2	180, 5432
2	90, 2716
	45, 1358

∴ So the LCM of the given numbers is 2 x 2 x 45 x 1358 = 244440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/244440

Therefore, the GCF of Fractions 4818/180,9557/5432 is 1/244440

Least Common Multiple of 180,5432 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 180,5432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,5432) = 4

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

GCF(180,5432) x common factors =4 x 1 = 4

LCM(180,5432) = ( 180 × 5432 ) / 4

LCM(180,5432) = 977760 / 4

LCM(180,5432) = 244440

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FAQs on GCF of Fractions of 4818/180, 9557/5432

1. What is the HCF of 4818,9557?

The HCF of 4818,9557 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 4818/180, 9557/5432?

Answer: GCF of Numerators as per given numbers 4818/180, 9557/5432 is

GCF of Numerators i.e. for 4818,9557 is 1

LCM of denominators i.e. for 180,5432 is 244440.

Thus, GCF of Fractions is 1/244440.Finally, GCF of Fractions for 4818/180, 9557/5432 is 1/244440.