How to Find GCF of 5222/268, 4478/7637?

GCF of 5222/268, 4478/7637

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 5222/268, 4478/7637 i.e 2/2046716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5222/268, 4478/7637.

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 5222/268,4478/7637?

Given fractions are 5222/268,4478/7637

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 5222/268,4478/7637, numerators are 5222,4478

Denominators are 268,7637

The GCF of 5222,4478 is 2 .

LCM of 268,7637 is 2046716.

The greatest common factor of 5222/268,4478/7637 = [GCF of 5222,4478]/[LCM of 268,7637]= 2/2046716

Therefore, the GCF of 5222/268,4478/7637 is 2/2046716.

Greatest Common Factor of 5222,4478

To find the highest common factor of 5222,4478, we have to find the factors of both numbers and list the highest common factor.

The factors of 5222 are 1, 2, 7, 14, 373, 746, 2611, 5222

The factors of 4478 are 1, 2, 2239, 4478

The HCF of 5222,4478 is 2.

Lets's calculate GCF of 5222,4478

Greatest Common Factor (GCF) of 5222,4478 By Common Division

2	5222, 4478
	2611, 2239

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

Greatest Common Factor of 5222,4478 By Matching Biggest Common Factor Method

Now, list down the factors of 5222

1,2,7,14,373,746,2611,5222

Now, list down the factors of 4478

1,2,2239,4478

Greatest Common Factor

We found the factors 5222,4478 . The biggest common factor number is the GCF number.
So the greatest common factor 5222,4478 is 2.

Lets's calculate LCM of 268,7637

Lowest Common Multiple of 268,7637 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2046716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2046716

Therefore, the GCF of Fractions 5222/268,4478/7637 is 2/2046716

Least Common Multiple of 268,7637 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 268,7637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,7637) = 1

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

GCF(268,7637) x common factors =1 x 1 = 1

LCM(268,7637) = ( 268 × 7637 ) / 1

LCM(268,7637) = 2046716 / 1

LCM(268,7637) = 2046716

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5222/268, 4478/7637

1. What is the HCF of 5222,4478?

The HCF of 5222,4478 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 5222/268, 4478/7637?

Answer: GCF of Numerators as per given numbers 5222/268, 4478/7637 is

GCF of Numerators i.e. for 5222,4478 is 2

LCM of denominators i.e. for 268,7637 is 2046716.

Thus, GCF of Fractions is 2/2046716.Finally, GCF of Fractions for 5222/268, 4478/7637 is 2/2046716.