Greatest Common Factor of 551/8448, 562/1213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 551/8448, 562/1213

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 551/8448,562/1213

Given fractions are 551/8448,562/1213

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 551,562

Greatest Common Factor of Numerators i.e. GCF of 551,562 is 1 .

LCM of Denominators means LCM of 8448,1213 as per the given fractions.

LCM of 8448,1213 is 10247424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 551,562

GCF of Fractions 551/8448,562/1213 is 1/10247424

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

Greatest Common Factor of 551,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 551,562 By Matching Biggest Common Factor Method

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 551,562 . The biggest common factor number is the GCF number.
So the greatest common factor 551,562 is 1.

Lets's calculate LCM of 8448,1213

Given numbers has no common factors except 1. So, there LCM is their product i.e 10247424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10247424

Therefore, the GCF of Fractions 551/8448,562/1213 is 1/10247424

Least Common Multiple of 8448,1213 with GCF Formula

Least Common Multiple of 8448,1213 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 8448,1213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8448,1213) = 1

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

GCF(8448,1213) x common factors =1 x 1 = 1

LCM(8448,1213) = ( 8448 × 1213 ) / 1

LCM(8448,1213) = 10247424 / 1

LCM(8448,1213) = 10247424


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 551/8448, 562/1213

1. 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.

2. What is the GCF of Fractions for 551/8448, 562/1213?

Answer: GCF of Numerators as per given numbers 551/8448, 562/1213 is

GCF of Numerators i.e. for 551,562 is 1

LCM of denominators i.e. for 8448,1213 is 10247424.

Thus, GCF of Fractions is 1/10247424.Finally, GCF of Fractions for 551/8448, 562/1213 is 1/10247424.