How to Find GCF of 9006/698, 4400/7655?

GCF of 9006/698, 4400/7655

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 9006/698, 4400/7655 i.e 2/5343190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9006/698, 4400/7655.

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 9006/698,4400/7655?

Given fractions are 9006/698,4400/7655

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 9006/698,4400/7655, numerators are 9006,4400

Denominators are 698,7655

The GCF of 9006,4400 is 2 .

LCM of 698,7655 is 5343190.

The greatest common factor of 9006/698,4400/7655 = [GCF of 9006,4400]/[LCM of 698,7655]= 2/5343190

Therefore, the GCF of 9006/698,4400/7655 is 2/5343190.

Greatest Common Factor of 9006,4400

To find the highest common factor of 9006,4400, we have to find the factors of both numbers and list the highest common factor.

The factors of 9006 are 1, 2, 3, 6, 19, 38, 57, 79, 114, 158, 237, 474, 1501, 3002, 4503, 9006

The factors of 4400 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200, 4400

The HCF of 9006,4400 is 2.

Lets's calculate GCF of 9006,4400

Greatest Common Factor (GCF) of 9006,4400 By Common Division

2	9006, 4400
	4503, 2200

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

Greatest Common Factor of 9006,4400 By Matching Biggest Common Factor Method

Now, list down the factors of 9006

1,2,3,6,19,38,57,79,114,158,237,474,1501,3002,4503,9006

Now, list down the factors of 4400

1,2,4,5,8,10,11,16,20,22,25,40,44,50,55,80,88,100,110,176,200,220,275,400,440,550,880,1100,2200,4400

Greatest Common Factor

We found the factors 9006,4400 . The biggest common factor number is the GCF number.
So the greatest common factor 9006,4400 is 2.

Lets's calculate LCM of 698,7655

Lowest Common Multiple of 698,7655 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5343190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5343190

Therefore, the GCF of Fractions 9006/698,4400/7655 is 2/5343190

Least Common Multiple of 698,7655 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 698,7655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,7655) = 1

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

GCF(698,7655) x common factors =1 x 1 = 1

LCM(698,7655) = ( 698 × 7655 ) / 1

LCM(698,7655) = 5343190 / 1

LCM(698,7655) = 5343190

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9006/698, 4400/7655

1. What is the HCF of 9006,4400?

The HCF of 9006,4400 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 9006/698, 4400/7655?

Answer: GCF of Numerators as per given numbers 9006/698, 4400/7655 is

GCF of Numerators i.e. for 9006,4400 is 2

LCM of denominators i.e. for 698,7655 is 5343190.

Thus, GCF of Fractions is 2/5343190.Finally, GCF of Fractions for 9006/698, 4400/7655 is 2/5343190.