How to Find GCF of 9208/470, 1452/5639?

GCF of 9208/470, 1452/5639

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 9208/470, 1452/5639 i.e 4/2650330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9208/470, 1452/5639.

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 9208/470,1452/5639?

Given fractions are 9208/470,1452/5639

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 9208/470,1452/5639, numerators are 9208,1452

Denominators are 470,5639

The GCF of 9208,1452 is 4 .

LCM of 470,5639 is 2650330.

The greatest common factor of 9208/470,1452/5639 = [GCF of 9208,1452]/[LCM of 470,5639]= 4/2650330

Therefore, the GCF of 9208/470,1452/5639 is 4/2650330.

Greatest Common Factor of 9208,1452

To find the highest common factor of 9208,1452, we have to find the factors of both numbers and list the highest common factor.

The factors of 9208 are 1, 2, 4, 8, 1151, 2302, 4604, 9208

The factors of 1452 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 121, 132, 242, 363, 484, 726, 1452

The HCF of 9208,1452 is 4.

Lets's calculate GCF of 9208,1452

Greatest Common Factor (GCF) of 9208,1452 By Common Division

2	9208, 1452
2	4604, 726
	2302, 363

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

Greatest Common Factor of 9208,1452 By Matching Biggest Common Factor Method

Now, list down the factors of 9208

1,2,4,8,1151,2302,4604,9208

Now, list down the factors of 1452

1,2,3,4,6,11,12,22,33,44,66,121,132,242,363,484,726,1452

Greatest Common Factor

We found the factors 9208,1452 . The biggest common factor number is the GCF number.
So the greatest common factor 9208,1452 is 4.

Lets's calculate LCM of 470,5639

Lowest Common Multiple of 470,5639 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2650330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2650330

Therefore, the GCF of Fractions 9208/470,1452/5639 is 4/2650330

Least Common Multiple of 470,5639 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 470,5639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,5639) = 1

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

GCF(470,5639) x common factors =1 x 1 = 1

LCM(470,5639) = ( 470 × 5639 ) / 1

LCM(470,5639) = 2650330 / 1

LCM(470,5639) = 2650330

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9208/470, 1452/5639

1. What is the HCF of 9208,1452?

The HCF of 9208,1452 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 9208/470, 1452/5639?

Answer: GCF of Numerators as per given numbers 9208/470, 1452/5639 is

GCF of Numerators i.e. for 9208,1452 is 4

LCM of denominators i.e. for 470,5639 is 2650330.

Thus, GCF of Fractions is 4/2650330.Finally, GCF of Fractions for 9208/470, 1452/5639 is 4/2650330.