Greatest Common Factor of 69/17, 835/14, 238/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/17, 835/14, 238/765

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 69/17,835/14,238/765

Given fractions are 69/17,835/14,238/765

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 69,835,238

Greatest Common Factor of Numerators i.e. GCF of 69,835,238 is 1 .

LCM of Denominators means LCM of 17,14,765 as per the given fractions.

LCM of 17,14,765 is 10710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,835,238

GCF of Fractions 69/17,835/14,238/765 is 1/10710

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

Greatest Common Factor of 69,835,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,835,238 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 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 69,835,238 . The biggest common factor number is the GCF number.
So the greatest common factor 69,835,238 is 1.

Lets's calculate LCM of 17,14,765

17 17, 14, 765
1, 14, 45

∴ So the LCM of the given numbers is 17 x 1 x 14 x 45 = 10710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10710

Therefore, the GCF of Fractions 69/17,835/14,238/765 is 1/10710

Least Common Multiple of 17,14,765 with GCF Formula

Least Common Multiple of 17,14,765 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 17,14,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,14,765) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(17,14,765) x common factors =1 x 17 = 17

LCM(17,14,765) = ( 17 × 14 × 765 ) / 17

LCM(17,14,765) = 182070 / 17

LCM(17,14,765) = 10710


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 69/17, 835/14, 238/765

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 69/17, 835/14, 238/765?

Answer: GCF of Numerators as per given numbers 69/17, 835/14, 238/765 is

GCF of Numerators i.e. for 69,835,238 is 1

LCM of denominators i.e. for 17,14,765 is 10710.

Thus, GCF of Fractions is 1/10710.Finally, GCF of Fractions for 69/17, 835/14, 238/765 is 1/10710.