Greatest Common Factor of 69/387, 207/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/387, 207/953

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 69/387,207/953

Given fractions are 69/387,207/953

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 69,207

Greatest Common Factor of Numerators i.e. GCF of 69,207 is 69 .

LCM of Denominators means LCM of 387,953 as per the given fractions.

LCM of 387,953 is 368811 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,207

GCF of Fractions 69/387,207/953 is 69/368811

3 69, 207
23 23, 69
1, 3

∴ So the GCF of the given numbers is 3 x 23 = 69

Greatest Common Factor of 69,207 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,207 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Greatest Common Factor

We found the factors 69,207 . The biggest common factor number is the GCF number.
So the greatest common factor 69,207 is 69.

Lets's calculate LCM of 387,953

Given numbers has no common factors except 1. So, there LCM is their product i.e 368811

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 69/368811

Therefore, the GCF of Fractions 69/387,207/953 is 69/368811

Least Common Multiple of 387,953 with GCF Formula

Least Common Multiple of 387,953 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 387,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,953) = 1

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

GCF(387,953) x common factors =1 x 1 = 1

LCM(387,953) = ( 387 × 953 ) / 1

LCM(387,953) = 368811 / 1

LCM(387,953) = 368811


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 69/387, 207/953

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 69/387, 207/953?

Answer: GCF of Numerators as per given numbers 69/387, 207/953 is

GCF of Numerators i.e. for 69,207 is 69

LCM of denominators i.e. for 387,953 is 368811.

Thus, GCF of Fractions is 69/368811.Finally, GCF of Fractions for 69/387, 207/953 is 69/368811.