How to Find GCF of 722/300, 9065/476?

GCF of 722/300, 9065/476

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 722/300, 9065/476 i.e 1/35700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 722/300, 9065/476.

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 722/300,9065/476?

Given fractions are 722/300,9065/476

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 722/300,9065/476, numerators are 722,9065

Denominators are 300,476

The GCF of 722,9065 is 1 .

LCM of 300,476 is 35700.

The greatest common factor of 722/300,9065/476 = [GCF of 722,9065]/[LCM of 300,476]= 1/35700

Therefore, the GCF of 722/300,9065/476 is 1/35700.

Greatest Common Factor of 722,9065

To find the highest common factor of 722,9065, we have to find the factors of both numbers and list the highest common factor.

The factors of 722 are 1, 2, 19, 38, 361, 722

The factors of 9065 are 1, 5, 7, 35, 37, 49, 185, 245, 259, 1295, 1813, 9065

The HCF of 722,9065 is 1.

Lets's calculate GCF of 722,9065

Greatest Common Factor (GCF) of 722,9065 By Common Division

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

Greatest Common Factor of 722,9065 By Matching Biggest Common Factor Method

Now, list down the factors of 722

1,2,19,38,361,722

Now, list down the factors of 9065

1,5,7,35,37,49,185,245,259,1295,1813,9065

Greatest Common Factor

We found the factors 722,9065 . The biggest common factor number is the GCF number.
So the greatest common factor 722,9065 is 1.

Lets's calculate LCM of 300,476

Lowest Common Multiple of 300,476 using Common Division

2	300, 476
2	150, 238
	75, 119

∴ So the LCM of the given numbers is 2 x 2 x 75 x 119 = 35700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35700

Therefore, the GCF of Fractions 722/300,9065/476 is 1/35700

Least Common Multiple of 300,476 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 300,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,476) = 4

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

GCF(300,476) x common factors =4 x 1 = 4

LCM(300,476) = ( 300 × 476 ) / 4

LCM(300,476) = 142800 / 4

LCM(300,476) = 35700

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 722/300, 9065/476

1. What is the HCF of 722,9065?

The HCF of 722,9065 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 722/300, 9065/476?

Answer: GCF of Numerators as per given numbers 722/300, 9065/476 is

GCF of Numerators i.e. for 722,9065 is 1

LCM of denominators i.e. for 300,476 is 35700.

Thus, GCF of Fractions is 1/35700.Finally, GCF of Fractions for 722/300, 9065/476 is 1/35700.