How to Find GCF of 5445/312, 4502/9216?

GCF of 5445/312, 4502/9216

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 5445/312, 4502/9216 i.e 1/119808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5445/312, 4502/9216.

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 5445/312,4502/9216?

Given fractions are 5445/312,4502/9216

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 5445/312,4502/9216, numerators are 5445,4502

Denominators are 312,9216

The GCF of 5445,4502 is 1 .

LCM of 312,9216 is 119808.

The greatest common factor of 5445/312,4502/9216 = [GCF of 5445,4502]/[LCM of 312,9216]= 1/119808

Therefore, the GCF of 5445/312,4502/9216 is 1/119808.

Greatest Common Factor of 5445,4502

To find the highest common factor of 5445,4502, we have to find the factors of both numbers and list the highest common factor.

The factors of 5445 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 121, 165, 363, 495, 605, 1089, 1815, 5445

The factors of 4502 are 1, 2, 2251, 4502

The HCF of 5445,4502 is 1.

Lets's calculate GCF of 5445,4502

Greatest Common Factor (GCF) of 5445,4502 By Common Division

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

Greatest Common Factor of 5445,4502 By Matching Biggest Common Factor Method

Now, list down the factors of 5445

1,3,5,9,11,15,33,45,55,99,121,165,363,495,605,1089,1815,5445

Now, list down the factors of 4502

1,2,2251,4502

Greatest Common Factor

We found the factors 5445,4502 . The biggest common factor number is the GCF number.
So the greatest common factor 5445,4502 is 1.

Lets's calculate LCM of 312,9216

Lowest Common Multiple of 312,9216 using Common Division

2	312, 9216
2	156, 4608
2	78, 2304
3	39, 1152
	13, 384

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 384 = 119808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119808

Therefore, the GCF of Fractions 5445/312,4502/9216 is 1/119808

Least Common Multiple of 312,9216 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 312,9216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,9216) = 24

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

GCF(312,9216) x common factors =24 x 1 = 24

LCM(312,9216) = ( 312 × 9216 ) / 24

LCM(312,9216) = 2875392 / 24

LCM(312,9216) = 119808

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5445/312, 4502/9216

1. What is the HCF of 5445,4502?

The HCF of 5445,4502 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 5445/312, 4502/9216?

Answer: GCF of Numerators as per given numbers 5445/312, 4502/9216 is

GCF of Numerators i.e. for 5445,4502 is 1

LCM of denominators i.e. for 312,9216 is 119808.

Thus, GCF of Fractions is 1/119808.Finally, GCF of Fractions for 5445/312, 4502/9216 is 1/119808.