How to Find GCF of 8222/520, 9266/7127?

GCF of 8222/520, 9266/7127

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 8222/520, 9266/7127 i.e 2/3706040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8222/520, 9266/7127.

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 8222/520,9266/7127?

Given fractions are 8222/520,9266/7127

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 8222/520,9266/7127, numerators are 8222,9266

Denominators are 520,7127

The GCF of 8222,9266 is 2 .

LCM of 520,7127 is 3706040.

The greatest common factor of 8222/520,9266/7127 = [GCF of 8222,9266]/[LCM of 520,7127]= 2/3706040

Therefore, the GCF of 8222/520,9266/7127 is 2/3706040.

Greatest Common Factor of 8222,9266

To find the highest common factor of 8222,9266, we have to find the factors of both numbers and list the highest common factor.

The factors of 8222 are 1, 2, 4111, 8222

The factors of 9266 are 1, 2, 41, 82, 113, 226, 4633, 9266

The HCF of 8222,9266 is 2.

Lets's calculate GCF of 8222,9266

Greatest Common Factor (GCF) of 8222,9266 By Common Division

2	8222, 9266
	4111, 4633

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

Greatest Common Factor of 8222,9266 By Matching Biggest Common Factor Method

Now, list down the factors of 8222

1,2,4111,8222

Now, list down the factors of 9266

1,2,41,82,113,226,4633,9266

Greatest Common Factor

We found the factors 8222,9266 . The biggest common factor number is the GCF number.
So the greatest common factor 8222,9266 is 2.

Lets's calculate LCM of 520,7127

Lowest Common Multiple of 520,7127 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3706040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3706040

Therefore, the GCF of Fractions 8222/520,9266/7127 is 2/3706040

Least Common Multiple of 520,7127 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 520,7127 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,7127) = 1

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

GCF(520,7127) x common factors =1 x 1 = 1

LCM(520,7127) = ( 520 × 7127 ) / 1

LCM(520,7127) = 3706040 / 1

LCM(520,7127) = 3706040

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8222/520, 9266/7127

1. What is the HCF of 8222,9266?

The HCF of 8222,9266 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 8222/520, 9266/7127?

Answer: GCF of Numerators as per given numbers 8222/520, 9266/7127 is

GCF of Numerators i.e. for 8222,9266 is 2

LCM of denominators i.e. for 520,7127 is 3706040.

Thus, GCF of Fractions is 2/3706040.Finally, GCF of Fractions for 8222/520, 9266/7127 is 2/3706040.