How to Find GCF of 6089/361, 1292/8511?

GCF of 6089/361, 1292/8511

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 6089/361, 1292/8511 i.e 1/3072471 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6089/361, 1292/8511.

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 6089/361,1292/8511?

Given fractions are 6089/361,1292/8511

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 6089/361,1292/8511, numerators are 6089,1292

Denominators are 361,8511

The GCF of 6089,1292 is 1 .

LCM of 361,8511 is 3072471.

The greatest common factor of 6089/361,1292/8511 = [GCF of 6089,1292]/[LCM of 361,8511]= 1/3072471

Therefore, the GCF of 6089/361,1292/8511 is 1/3072471.

Greatest Common Factor of 6089,1292

To find the highest common factor of 6089,1292, we have to find the factors of both numbers and list the highest common factor.

The factors of 6089 are 1, 6089

The factors of 1292 are 1, 2, 4, 17, 19, 34, 38, 68, 76, 323, 646, 1292

The HCF of 6089,1292 is 1.

Lets's calculate GCF of 6089,1292

Greatest Common Factor (GCF) of 6089,1292 By Common Division

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

Greatest Common Factor of 6089,1292 By Matching Biggest Common Factor Method

Now, list down the factors of 6089

1,6089

Now, list down the factors of 1292

1,2,4,17,19,34,38,68,76,323,646,1292

Greatest Common Factor

We found the factors 6089,1292 . The biggest common factor number is the GCF number.
So the greatest common factor 6089,1292 is 1.

Lets's calculate LCM of 361,8511

Lowest Common Multiple of 361,8511 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3072471

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3072471

Therefore, the GCF of Fractions 6089/361,1292/8511 is 1/3072471

Least Common Multiple of 361,8511 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 361,8511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,8511) = 1

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

GCF(361,8511) x common factors =1 x 1 = 1

LCM(361,8511) = ( 361 × 8511 ) / 1

LCM(361,8511) = 3072471 / 1

LCM(361,8511) = 3072471

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FAQs on GCF of Fractions of 6089/361, 1292/8511

1. What is the HCF of 6089,1292?

The HCF of 6089,1292 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 6089/361, 1292/8511?

Answer: GCF of Numerators as per given numbers 6089/361, 1292/8511 is

GCF of Numerators i.e. for 6089,1292 is 1

LCM of denominators i.e. for 361,8511 is 3072471.

Thus, GCF of Fractions is 1/3072471.Finally, GCF of Fractions for 6089/361, 1292/8511 is 1/3072471.