How to Find GCF of 1707/585, 7835/923?

GCF of 1707/585, 7835/923

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 1707/585, 7835/923 i.e 1/41535 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1707/585, 7835/923.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 1707/585,7835/923?

Given fractions are 1707/585,7835/923

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 1707/585,7835/923, numerators are 1707,7835

Denominators are 585,923

The GCF of 1707,7835 is 1 .

LCM of 585,923 is 41535.

The greatest common factor of 1707/585,7835/923 = [GCF of 1707,7835]/[LCM of 585,923]= 1/41535

Therefore, the GCF of 1707/585,7835/923 is 1/41535.

Greatest Common Factor of 1707,7835

To find the highest common factor of 1707,7835, we have to find the factors of both numbers and list the highest common factor.

The factors of 1707 are 1, 3, 569, 1707

The factors of 7835 are 1, 5, 1567, 7835

The HCF of 1707,7835 is 1.

Lets's calculate GCF of 1707,7835

Greatest Common Factor (GCF) of 1707,7835 By Common Division

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

Greatest Common Factor of 1707,7835 By Matching Biggest Common Factor Method

Now, list down the factors of 1707

1,3,569,1707

Now, list down the factors of 7835

1,5,1567,7835

Greatest Common Factor

We found the factors 1707,7835 . The biggest common factor number is the GCF number.
So the greatest common factor 1707,7835 is 1.

Lets's calculate LCM of 585,923

Lowest Common Multiple of 585,923 using Common Division

13	585, 923
	45, 71

∴ So the LCM of the given numbers is 13 x 45 x 71 = 41535

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41535

Therefore, the GCF of Fractions 1707/585,7835/923 is 1/41535

Least Common Multiple of 585,923 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 585,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,923) = 13

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

GCF(585,923) x common factors =13 x 1 = 13

LCM(585,923) = ( 585 × 923 ) / 13

LCM(585,923) = 539955 / 13

LCM(585,923) = 41535

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1707/585, 7835/923

1. What is the HCF of 1707,7835?

The HCF of 1707,7835 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 1707/585, 7835/923?

Answer: GCF of Numerators as per given numbers 1707/585, 7835/923 is

GCF of Numerators i.e. for 1707,7835 is 1

LCM of denominators i.e. for 585,923 is 41535.

Thus, GCF of Fractions is 1/41535.Finally, GCF of Fractions for 1707/585, 7835/923 is 1/41535.