How to Find GCF of 8069/561, 1255/9253?

GCF of 8069/561, 1255/9253

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 8069/561, 1255/9253 i.e 1/5190933 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8069/561, 1255/9253.

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 8069/561,1255/9253?

Given fractions are 8069/561,1255/9253

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 8069/561,1255/9253, numerators are 8069,1255

Denominators are 561,9253

The GCF of 8069,1255 is 1 .

LCM of 561,9253 is 5190933.

The greatest common factor of 8069/561,1255/9253 = [GCF of 8069,1255]/[LCM of 561,9253]= 1/5190933

Therefore, the GCF of 8069/561,1255/9253 is 1/5190933.

Greatest Common Factor of 8069,1255

To find the highest common factor of 8069,1255, we have to find the factors of both numbers and list the highest common factor.

The factors of 8069 are 1, 8069

The factors of 1255 are 1, 5, 251, 1255

The HCF of 8069,1255 is 1.

Lets's calculate GCF of 8069,1255

Greatest Common Factor (GCF) of 8069,1255 By Common Division

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

Greatest Common Factor of 8069,1255 By Matching Biggest Common Factor Method

Now, list down the factors of 8069

1,8069

Now, list down the factors of 1255

1,5,251,1255

Greatest Common Factor

We found the factors 8069,1255 . The biggest common factor number is the GCF number.
So the greatest common factor 8069,1255 is 1.

Lets's calculate LCM of 561,9253

Lowest Common Multiple of 561,9253 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5190933

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5190933

Therefore, the GCF of Fractions 8069/561,1255/9253 is 1/5190933

Least Common Multiple of 561,9253 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 561,9253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,9253) = 1

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

GCF(561,9253) x common factors =1 x 1 = 1

LCM(561,9253) = ( 561 × 9253 ) / 1

LCM(561,9253) = 5190933 / 1

LCM(561,9253) = 5190933

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FAQs on GCF of Fractions of 8069/561, 1255/9253

1. What is the HCF of 8069,1255?

The HCF of 8069,1255 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 8069/561, 1255/9253?

Answer: GCF of Numerators as per given numbers 8069/561, 1255/9253 is

GCF of Numerators i.e. for 8069,1255 is 1

LCM of denominators i.e. for 561,9253 is 5190933.

Thus, GCF of Fractions is 1/5190933.Finally, GCF of Fractions for 8069/561, 1255/9253 is 1/5190933.