How to Find GCF of 8231/692, 9166/2145?

GCF of 8231/692, 9166/2145

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 8231/692, 9166/2145 i.e 1/1484340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8231/692, 9166/2145.

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 8231/692,9166/2145?

Given fractions are 8231/692,9166/2145

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 8231/692,9166/2145, numerators are 8231,9166

Denominators are 692,2145

The GCF of 8231,9166 is 1 .

LCM of 692,2145 is 1484340.

The greatest common factor of 8231/692,9166/2145 = [GCF of 8231,9166]/[LCM of 692,2145]= 1/1484340

Therefore, the GCF of 8231/692,9166/2145 is 1/1484340.

Greatest Common Factor of 8231,9166

To find the highest common factor of 8231,9166, we have to find the factors of both numbers and list the highest common factor.

The factors of 8231 are 1, 8231

The factors of 9166 are 1, 2, 4583, 9166

The HCF of 8231,9166 is 1.

Lets's calculate GCF of 8231,9166

Greatest Common Factor (GCF) of 8231,9166 By Common Division

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

Greatest Common Factor of 8231,9166 By Matching Biggest Common Factor Method

Now, list down the factors of 8231

1,8231

Now, list down the factors of 9166

1,2,4583,9166

Greatest Common Factor

We found the factors 8231,9166 . The biggest common factor number is the GCF number.
So the greatest common factor 8231,9166 is 1.

Lets's calculate LCM of 692,2145

Lowest Common Multiple of 692,2145 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1484340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1484340

Therefore, the GCF of Fractions 8231/692,9166/2145 is 1/1484340

Least Common Multiple of 692,2145 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 692,2145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,2145) = 1

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

GCF(692,2145) x common factors =1 x 1 = 1

LCM(692,2145) = ( 692 × 2145 ) / 1

LCM(692,2145) = 1484340 / 1

LCM(692,2145) = 1484340

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FAQs on GCF of Fractions of 8231/692, 9166/2145

1. What is the HCF of 8231,9166?

The HCF of 8231,9166 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 8231/692, 9166/2145?

Answer: GCF of Numerators as per given numbers 8231/692, 9166/2145 is

GCF of Numerators i.e. for 8231,9166 is 1

LCM of denominators i.e. for 692,2145 is 1484340.

Thus, GCF of Fractions is 1/1484340.Finally, GCF of Fractions for 8231/692, 9166/2145 is 1/1484340.