How to Find GCF of 1206/281, 9151/7747?

GCF of 1206/281, 9151/7747

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 1206/281, 9151/7747 i.e 1/2176907 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1206/281, 9151/7747.

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 1206/281,9151/7747?

Given fractions are 1206/281,9151/7747

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 1206/281,9151/7747, numerators are 1206,9151

Denominators are 281,7747

The GCF of 1206,9151 is 1 .

LCM of 281,7747 is 2176907.

The greatest common factor of 1206/281,9151/7747 = [GCF of 1206,9151]/[LCM of 281,7747]= 1/2176907

Therefore, the GCF of 1206/281,9151/7747 is 1/2176907.

Greatest Common Factor of 1206,9151

To find the highest common factor of 1206,9151, we have to find the factors of both numbers and list the highest common factor.

The factors of 1206 are 1, 2, 3, 6, 9, 18, 67, 134, 201, 402, 603, 1206

The factors of 9151 are 1, 9151

The HCF of 1206,9151 is 1.

Lets's calculate GCF of 1206,9151

Greatest Common Factor (GCF) of 1206,9151 By Common Division

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

Greatest Common Factor of 1206,9151 By Matching Biggest Common Factor Method

Now, list down the factors of 1206

1,2,3,6,9,18,67,134,201,402,603,1206

Now, list down the factors of 9151

1,9151

Greatest Common Factor

We found the factors 1206,9151 . The biggest common factor number is the GCF number.
So the greatest common factor 1206,9151 is 1.

Lets's calculate LCM of 281,7747

Lowest Common Multiple of 281,7747 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2176907

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2176907

Therefore, the GCF of Fractions 1206/281,9151/7747 is 1/2176907

Least Common Multiple of 281,7747 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 281,7747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,7747) = 1

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

GCF(281,7747) x common factors =1 x 1 = 1

LCM(281,7747) = ( 281 × 7747 ) / 1

LCM(281,7747) = 2176907 / 1

LCM(281,7747) = 2176907

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1206/281, 9151/7747

1. What is the HCF of 1206,9151?

The HCF of 1206,9151 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 1206/281, 9151/7747?

Answer: GCF of Numerators as per given numbers 1206/281, 9151/7747 is

GCF of Numerators i.e. for 1206,9151 is 1

LCM of denominators i.e. for 281,7747 is 2176907.

Thus, GCF of Fractions is 1/2176907.Finally, GCF of Fractions for 1206/281, 9151/7747 is 1/2176907.