How to Find GCF of 5939/886, 7685/9542?

GCF of 5939/886, 7685/9542

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 5939/886, 7685/9542 i.e 1/4227106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5939/886, 7685/9542.

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 5939/886,7685/9542?

Given fractions are 5939/886,7685/9542

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 5939/886,7685/9542, numerators are 5939,7685

Denominators are 886,9542

The GCF of 5939,7685 is 1 .

LCM of 886,9542 is 4227106.

The greatest common factor of 5939/886,7685/9542 = [GCF of 5939,7685]/[LCM of 886,9542]= 1/4227106

Therefore, the GCF of 5939/886,7685/9542 is 1/4227106.

Greatest Common Factor of 5939,7685

To find the highest common factor of 5939,7685, we have to find the factors of both numbers and list the highest common factor.

The factors of 5939 are 1, 5939

The factors of 7685 are 1, 5, 29, 53, 145, 265, 1537, 7685

The HCF of 5939,7685 is 1.

Lets's calculate GCF of 5939,7685

Greatest Common Factor (GCF) of 5939,7685 By Common Division

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

Greatest Common Factor of 5939,7685 By Matching Biggest Common Factor Method

Now, list down the factors of 5939

1,5939

Now, list down the factors of 7685

1,5,29,53,145,265,1537,7685

Greatest Common Factor

We found the factors 5939,7685 . The biggest common factor number is the GCF number.
So the greatest common factor 5939,7685 is 1.

Lets's calculate LCM of 886,9542

Lowest Common Multiple of 886,9542 using Common Division

2	886, 9542
	443, 4771

∴ So the LCM of the given numbers is 2 x 443 x 4771 = 4227106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4227106

Therefore, the GCF of Fractions 5939/886,7685/9542 is 1/4227106

Least Common Multiple of 886,9542 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 886,9542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(886,9542) = 2

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

GCF(886,9542) x common factors =2 x 1 = 2

LCM(886,9542) = ( 886 × 9542 ) / 2

LCM(886,9542) = 8454212 / 2

LCM(886,9542) = 4227106

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5939/886, 7685/9542

1. What is the HCF of 5939,7685?

The HCF of 5939,7685 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 5939/886, 7685/9542?

Answer: GCF of Numerators as per given numbers 5939/886, 7685/9542 is

GCF of Numerators i.e. for 5939,7685 is 1

LCM of denominators i.e. for 886,9542 is 4227106.

Thus, GCF of Fractions is 1/4227106.Finally, GCF of Fractions for 5939/886, 7685/9542 is 1/4227106.