Greatest Common Factor of 670/55, 623/4505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 670/55, 623/4505

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 670/55,623/4505

Given fractions are 670/55,623/4505

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 670,623

Greatest Common Factor of Numerators i.e. GCF of 670,623 is 1 .

LCM of Denominators means LCM of 55,4505 as per the given fractions.

LCM of 55,4505 is 49555 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 670,623

GCF of Fractions 670/55,623/4505 is 1/49555

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

Greatest Common Factor of 670,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,623 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 670,623 . The biggest common factor number is the GCF number.
So the greatest common factor 670,623 is 1.


Lets's calculate LCM of 55,4505

5 55, 4505
11, 901

∴ So the LCM of the given numbers is 5 x 11 x 901 = 49555

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49555

Therefore, the GCF of Fractions 670/55,623/4505 is 1/49555

Least Common Multiple of 55,4505 with GCF Formula

Least Common Multiple of 55,4505 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 55,4505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,4505) = 5

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

GCF(55,4505) x common factors =5 x 1 = 5

LCM(55,4505) = ( 55 × 4505 ) / 5

LCM(55,4505) = 247775 / 5

LCM(55,4505) = 49555


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 670/55, 623/4505

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 670/55, 623/4505?

Answer: GCF of Numerators as per given numbers 670/55, 623/4505 is

GCF of Numerators i.e. for 670,623 is 1

LCM of denominators i.e. for 55,4505 is 49555.

Thus, GCF of Fractions is 1/49555.Finally, GCF of Fractions for 670/55, 623/4505 is 1/49555.