How to Find GCF of 6536/923, 9873/1466?

GCF of 6536/923, 9873/1466

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 6536/923, 9873/1466 i.e 1/1353118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6536/923, 9873/1466.

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 6536/923,9873/1466?

Given fractions are 6536/923,9873/1466

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 6536/923,9873/1466, numerators are 6536,9873

Denominators are 923,1466

The GCF of 6536,9873 is 1 .

LCM of 923,1466 is 1353118.

The greatest common factor of 6536/923,9873/1466 = [GCF of 6536,9873]/[LCM of 923,1466]= 1/1353118

Therefore, the GCF of 6536/923,9873/1466 is 1/1353118.

Greatest Common Factor of 6536,9873

To find the highest common factor of 6536,9873, we have to find the factors of both numbers and list the highest common factor.

The factors of 6536 are 1, 2, 4, 8, 19, 38, 43, 76, 86, 152, 172, 344, 817, 1634, 3268, 6536

The factors of 9873 are 1, 3, 9, 1097, 3291, 9873

The HCF of 6536,9873 is 1.

Lets's calculate GCF of 6536,9873

Greatest Common Factor (GCF) of 6536,9873 By Common Division

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

Greatest Common Factor of 6536,9873 By Matching Biggest Common Factor Method

Now, list down the factors of 6536

1,2,4,8,19,38,43,76,86,152,172,344,817,1634,3268,6536

Now, list down the factors of 9873

1,3,9,1097,3291,9873

Greatest Common Factor

We found the factors 6536,9873 . The biggest common factor number is the GCF number.
So the greatest common factor 6536,9873 is 1.

Lets's calculate LCM of 923,1466

Lowest Common Multiple of 923,1466 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1353118

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1353118

Therefore, the GCF of Fractions 6536/923,9873/1466 is 1/1353118

Least Common Multiple of 923,1466 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 923,1466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,1466) = 1

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

GCF(923,1466) x common factors =1 x 1 = 1

LCM(923,1466) = ( 923 × 1466 ) / 1

LCM(923,1466) = 1353118 / 1

LCM(923,1466) = 1353118

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FAQs on GCF of Fractions of 6536/923, 9873/1466

1. What is the HCF of 6536,9873?

The HCF of 6536,9873 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 6536/923, 9873/1466?

Answer: GCF of Numerators as per given numbers 6536/923, 9873/1466 is

GCF of Numerators i.e. for 6536,9873 is 1

LCM of denominators i.e. for 923,1466 is 1353118.

Thus, GCF of Fractions is 1/1353118.Finally, GCF of Fractions for 6536/923, 9873/1466 is 1/1353118.