Greatest Common Factor of 628/554, 208/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 628/554, 208/510

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 628/554,208/510

Given fractions are 628/554,208/510

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 628,208

Greatest Common Factor of Numerators i.e. GCF of 628,208 is 4 .

LCM of Denominators means LCM of 554,510 as per the given fractions.

LCM of 554,510 is 141270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 628,208

GCF of Fractions 628/554,208/510 is 4/141270

2 628, 208
2 314, 104
157, 52

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 628,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 628,208 By Matching Biggest Common Factor Method

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 628,208 . The biggest common factor number is the GCF number.
So the greatest common factor 628,208 is 4.

Lets's calculate LCM of 554,510

2 554, 510
277, 255

∴ So the LCM of the given numbers is 2 x 277 x 255 = 141270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/141270

Therefore, the GCF of Fractions 628/554,208/510 is 4/141270

Least Common Multiple of 554,510 with GCF Formula

Least Common Multiple of 554,510 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 554,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(554,510) = 2

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

GCF(554,510) x common factors =2 x 1 = 2

LCM(554,510) = ( 554 × 510 ) / 2

LCM(554,510) = 282540 / 2

LCM(554,510) = 141270


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 628/554, 208/510

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 628/554, 208/510?

Answer: GCF of Numerators as per given numbers 628/554, 208/510 is

GCF of Numerators i.e. for 628,208 is 4

LCM of denominators i.e. for 554,510 is 141270.

Thus, GCF of Fractions is 4/141270.Finally, GCF of Fractions for 628/554, 208/510 is 4/141270.