Greatest Common Factor of 5675/628, 5620/8220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5675/628, 5620/8220

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 5675/628,5620/8220

Given fractions are 5675/628,5620/8220

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 5675,5620

Greatest Common Factor of Numerators i.e. GCF of 5675,5620 is 5 .

LCM of Denominators means LCM of 628,8220 as per the given fractions.

LCM of 628,8220 is 1290540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5675,5620

GCF of Fractions 5675/628,5620/8220 is 5/1290540

5 5675, 5620
1135, 1124

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 5675,5620 By Matching Biggest Common Factor Method

Greatest Common Factor of 5675,5620 By Matching Biggest Common Factor Method

Factors of 5675

List of positive integer factors of 5675 that divides 5675 without a remainder.

1,5,25,227,1135,5675

Factors of 5620

List of positive integer factors of 5620 that divides 5620 without a remainder.

1,2,4,5,10,20,281,562,1124,1405,2810,5620

Greatest Common Factor

We found the factors 5675,5620 . The biggest common factor number is the GCF number.
So the greatest common factor 5675,5620 is 5.

Lets's calculate LCM of 628,8220

2 628, 8220
2 314, 4110
157, 2055

∴ So the LCM of the given numbers is 2 x 2 x 157 x 2055 = 1290540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1290540

Therefore, the GCF of Fractions 5675/628,5620/8220 is 5/1290540

Least Common Multiple of 628,8220 with GCF Formula

Least Common Multiple of 628,8220 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 628,8220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,8220) = 4

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

GCF(628,8220) x common factors =4 x 1 = 4

LCM(628,8220) = ( 628 × 8220 ) / 4

LCM(628,8220) = 5162160 / 4

LCM(628,8220) = 1290540


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5675/628, 5620/8220

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 5675/628, 5620/8220?

Answer: GCF of Numerators as per given numbers 5675/628, 5620/8220 is

GCF of Numerators i.e. for 5675,5620 is 5

LCM of denominators i.e. for 628,8220 is 1290540.

Thus, GCF of Fractions is 5/1290540.Finally, GCF of Fractions for 5675/628, 5620/8220 is 5/1290540.