How to Find GCF of 9545/814, 1709/6156?

GCF of 9545/814, 1709/6156

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 9545/814, 1709/6156 i.e 1/2505492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9545/814, 1709/6156.

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 9545/814,1709/6156?

Given fractions are 9545/814,1709/6156

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 9545/814,1709/6156, numerators are 9545,1709

Denominators are 814,6156

The GCF of 9545,1709 is 1 .

LCM of 814,6156 is 2505492.

The greatest common factor of 9545/814,1709/6156 = [GCF of 9545,1709]/[LCM of 814,6156]= 1/2505492

Therefore, the GCF of 9545/814,1709/6156 is 1/2505492.

Greatest Common Factor of 9545,1709

To find the highest common factor of 9545,1709, we have to find the factors of both numbers and list the highest common factor.

The factors of 9545 are 1, 5, 23, 83, 115, 415, 1909, 9545

The factors of 1709 are 1, 1709

The HCF of 9545,1709 is 1.

Lets's calculate GCF of 9545,1709

Greatest Common Factor (GCF) of 9545,1709 By Common Division

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

Greatest Common Factor of 9545,1709 By Matching Biggest Common Factor Method

Now, list down the factors of 9545

1,5,23,83,115,415,1909,9545

Now, list down the factors of 1709

1,1709

Greatest Common Factor

We found the factors 9545,1709 . The biggest common factor number is the GCF number.
So the greatest common factor 9545,1709 is 1.

Lets's calculate LCM of 814,6156

Lowest Common Multiple of 814,6156 using Common Division

2	814, 6156
	407, 3078

∴ So the LCM of the given numbers is 2 x 407 x 3078 = 2505492

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2505492

Therefore, the GCF of Fractions 9545/814,1709/6156 is 1/2505492

Least Common Multiple of 814,6156 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 814,6156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,6156) = 2

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

GCF(814,6156) x common factors =2 x 1 = 2

LCM(814,6156) = ( 814 × 6156 ) / 2

LCM(814,6156) = 5010984 / 2

LCM(814,6156) = 2505492

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9545/814, 1709/6156

1. What is the HCF of 9545,1709?

The HCF of 9545,1709 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 9545/814, 1709/6156?

Answer: GCF of Numerators as per given numbers 9545/814, 1709/6156 is

GCF of Numerators i.e. for 9545,1709 is 1

LCM of denominators i.e. for 814,6156 is 2505492.

Thus, GCF of Fractions is 1/2505492.Finally, GCF of Fractions for 9545/814, 1709/6156 is 1/2505492.