How to Find GCF of 2300/964, 8399/6436?

GCF of 2300/964, 8399/6436

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 2300/964, 8399/6436 i.e 1/1551076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2300/964, 8399/6436.

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 2300/964,8399/6436?

Given fractions are 2300/964,8399/6436

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 2300/964,8399/6436, numerators are 2300,8399

Denominators are 964,6436

The GCF of 2300,8399 is 1 .

LCM of 964,6436 is 1551076.

The greatest common factor of 2300/964,8399/6436 = [GCF of 2300,8399]/[LCM of 964,6436]= 1/1551076

Therefore, the GCF of 2300/964,8399/6436 is 1/1551076.

Greatest Common Factor of 2300,8399

To find the highest common factor of 2300,8399, we have to find the factors of both numbers and list the highest common factor.

The factors of 2300 are 1, 2, 4, 5, 10, 20, 23, 25, 46, 50, 92, 100, 115, 230, 460, 575, 1150, 2300

The factors of 8399 are 1, 37, 227, 8399

The HCF of 2300,8399 is 1.

Lets's calculate GCF of 2300,8399

Greatest Common Factor (GCF) of 2300,8399 By Common Division

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

Greatest Common Factor of 2300,8399 By Matching Biggest Common Factor Method

Now, list down the factors of 2300

1,2,4,5,10,20,23,25,46,50,92,100,115,230,460,575,1150,2300

Now, list down the factors of 8399

1,37,227,8399

Greatest Common Factor

We found the factors 2300,8399 . The biggest common factor number is the GCF number.
So the greatest common factor 2300,8399 is 1.

Lets's calculate LCM of 964,6436

Lowest Common Multiple of 964,6436 using Common Division

2	964, 6436
2	482, 3218
	241, 1609

∴ So the LCM of the given numbers is 2 x 2 x 241 x 1609 = 1551076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1551076

Therefore, the GCF of Fractions 2300/964,8399/6436 is 1/1551076

Least Common Multiple of 964,6436 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 964,6436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,6436) = 4

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

GCF(964,6436) x common factors =4 x 1 = 4

LCM(964,6436) = ( 964 × 6436 ) / 4

LCM(964,6436) = 6204304 / 4

LCM(964,6436) = 1551076

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FAQs on GCF of Fractions of 2300/964, 8399/6436

1. What is the HCF of 2300,8399?

The HCF of 2300,8399 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 2300/964, 8399/6436?

Answer: GCF of Numerators as per given numbers 2300/964, 8399/6436 is

GCF of Numerators i.e. for 2300,8399 is 1

LCM of denominators i.e. for 964,6436 is 1551076.

Thus, GCF of Fractions is 1/1551076.Finally, GCF of Fractions for 2300/964, 8399/6436 is 1/1551076.