How to Find GCF of 8406/926, 5171/7671?

GCF of 8406/926, 5171/7671

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 8406/926, 5171/7671 i.e 1/7103346 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8406/926, 5171/7671.

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 8406/926,5171/7671?

Given fractions are 8406/926,5171/7671

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 8406/926,5171/7671, numerators are 8406,5171

Denominators are 926,7671

The GCF of 8406,5171 is 1 .

LCM of 926,7671 is 7103346.

The greatest common factor of 8406/926,5171/7671 = [GCF of 8406,5171]/[LCM of 926,7671]= 1/7103346

Therefore, the GCF of 8406/926,5171/7671 is 1/7103346.

Greatest Common Factor of 8406,5171

To find the highest common factor of 8406,5171, we have to find the factors of both numbers and list the highest common factor.

The factors of 8406 are 1, 2, 3, 6, 9, 18, 467, 934, 1401, 2802, 4203, 8406

The factors of 5171 are 1, 5171

The HCF of 8406,5171 is 1.

Lets's calculate GCF of 8406,5171

Greatest Common Factor (GCF) of 8406,5171 By Common Division

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

Greatest Common Factor of 8406,5171 By Matching Biggest Common Factor Method

Now, list down the factors of 8406

1,2,3,6,9,18,467,934,1401,2802,4203,8406

Now, list down the factors of 5171

1,5171

Greatest Common Factor

We found the factors 8406,5171 . The biggest common factor number is the GCF number.
So the greatest common factor 8406,5171 is 1.

Lets's calculate LCM of 926,7671

Lowest Common Multiple of 926,7671 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7103346

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7103346

Therefore, the GCF of Fractions 8406/926,5171/7671 is 1/7103346

Least Common Multiple of 926,7671 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 926,7671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,7671) = 1

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

GCF(926,7671) x common factors =1 x 1 = 1

LCM(926,7671) = ( 926 × 7671 ) / 1

LCM(926,7671) = 7103346 / 1

LCM(926,7671) = 7103346

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8406/926, 5171/7671

1. What is the HCF of 8406,5171?

The HCF of 8406,5171 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 8406/926, 5171/7671?

Answer: GCF of Numerators as per given numbers 8406/926, 5171/7671 is

GCF of Numerators i.e. for 8406,5171 is 1

LCM of denominators i.e. for 926,7671 is 7103346.

Thus, GCF of Fractions is 1/7103346.Finally, GCF of Fractions for 8406/926, 5171/7671 is 1/7103346.