Greatest Common Factor of 49/623, 551/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 49/623, 551/510

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 49/623,551/510

Given fractions are 49/623,551/510

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 49,551

Greatest Common Factor of Numerators i.e. GCF of 49,551 is 1 .

LCM of Denominators means LCM of 623,510 as per the given fractions.

LCM of 623,510 is 317730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 49,551

GCF of Fractions 49/623,551/510 is 1/317730

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

Greatest Common Factor of 49,551 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,551 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 551

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

1,19,29,551

Greatest Common Factor

We found the factors 49,551 . The biggest common factor number is the GCF number.
So the greatest common factor 49,551 is 1.

Lets's calculate LCM of 623,510

Given numbers has no common factors except 1. So, there LCM is their product i.e 317730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/317730

Therefore, the GCF of Fractions 49/623,551/510 is 1/317730

Least Common Multiple of 623,510 with GCF Formula

Least Common Multiple of 623,510 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 623,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(623,510) = 1

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

GCF(623,510) x common factors =1 x 1 = 1

LCM(623,510) = ( 623 × 510 ) / 1

LCM(623,510) = 317730 / 1

LCM(623,510) = 317730


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 49/623, 551/510

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 49/623, 551/510?

Answer: GCF of Numerators as per given numbers 49/623, 551/510 is

GCF of Numerators i.e. for 49,551 is 1

LCM of denominators i.e. for 623,510 is 317730.

Thus, GCF of Fractions is 1/317730.Finally, GCF of Fractions for 49/623, 551/510 is 1/317730.