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GCF of 269/82, 551/300

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 269/82, 551/300 i.e 1/12300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 269/82, 551/300.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 269/82,551/300?

Given fractions are 269/82,551/300

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 269/82,551/300, numerators are 269,551

Denominators are 82,300

The GCF of 269,551 is 1 .

LCM of 82,300 is 12300.

The greatest common factor of 269/82,551/300 = [GCF of 269,551]/[LCM of 82,300]= 1/12300

Therefore, the GCF of 269/82,551/300 is 1/12300.

Greatest Common Factor of 269,551

To find the highest common factor of 269,551, we have to find the factors of both numbers and list the highest common factor.

The factors of 269 are 1, 269

The factors of 551 are 1, 19, 29, 551

The HCF of 269,551 is 1.

Lets's calculate GCF of 269,551

Greatest Common Factor (GCF) of 269,551 By Common Division

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

Greatest Common Factor of 269,551 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,551 By Matching Biggest Common Factor Method

Now, list down the factors of 269

:

1,269

Now, list down the factors of 551

:

1,19,29,551

Greatest Common Factor

We found the factors 269,551 . The biggest common factor number is the GCF number.
So the greatest common factor 269,551 is 1.

Lets's calculate LCM of 82,300

Lowest Common Multiple of 82,300 using Common Division

2 82, 300
41, 150

∴ So the LCM of the given numbers is 2 x 41 x 150 = 12300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12300

Therefore, the GCF of Fractions 269/82,551/300 is 1/12300

Least Common Multiple of 82,300 with GCF Formula

Least Common Multiple of 82,300 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 82,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,300) = 2

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

GCF(82,300) x common factors =2 x 1 = 2

LCM(82,300) = ( 82 × 300 ) / 2

LCM(82,300) = 24600 / 2

LCM(82,300) = 12300


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FAQs on GCF of Fractions of 269/82, 551/300

1. What is the HCF of 269,551?

The HCF of 269,551 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 269/82, 551/300?

Answer: GCF of Numerators as per given numbers 269/82, 551/300 is

GCF of Numerators i.e. for 269,551 is 1

LCM of denominators i.e. for 82,300 is 12300.

Thus, GCF of Fractions is 1/12300.Finally, GCF of Fractions for 269/82, 551/300 is 1/12300.