How to Find GCF of 4007/960, 9233/6212?

GCF of 4007/960, 9233/6212

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 4007/960, 9233/6212 i.e 1/1490880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4007/960, 9233/6212.

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 4007/960,9233/6212?

Given fractions are 4007/960,9233/6212

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 4007/960,9233/6212, numerators are 4007,9233

Denominators are 960,6212

The GCF of 4007,9233 is 1 .

LCM of 960,6212 is 1490880.

The greatest common factor of 4007/960,9233/6212 = [GCF of 4007,9233]/[LCM of 960,6212]= 1/1490880

Therefore, the GCF of 4007/960,9233/6212 is 1/1490880.

Greatest Common Factor of 4007,9233

To find the highest common factor of 4007,9233, we have to find the factors of both numbers and list the highest common factor.

The factors of 4007 are 1, 4007

The factors of 9233 are 1, 7, 1319, 9233

The HCF of 4007,9233 is 1.

Lets's calculate GCF of 4007,9233

Greatest Common Factor (GCF) of 4007,9233 By Common Division

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

Greatest Common Factor of 4007,9233 By Matching Biggest Common Factor Method

Now, list down the factors of 4007

1,4007

Now, list down the factors of 9233

1,7,1319,9233

Greatest Common Factor

We found the factors 4007,9233 . The biggest common factor number is the GCF number.
So the greatest common factor 4007,9233 is 1.

Lets's calculate LCM of 960,6212

Lowest Common Multiple of 960,6212 using Common Division

2	960, 6212
2	480, 3106
	240, 1553

∴ So the LCM of the given numbers is 2 x 2 x 240 x 1553 = 1490880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1490880

Therefore, the GCF of Fractions 4007/960,9233/6212 is 1/1490880

Least Common Multiple of 960,6212 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 960,6212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,6212) = 4

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

GCF(960,6212) x common factors =4 x 1 = 4

LCM(960,6212) = ( 960 × 6212 ) / 4

LCM(960,6212) = 5963520 / 4

LCM(960,6212) = 1490880

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4007/960, 9233/6212

1. What is the HCF of 4007,9233?

The HCF of 4007,9233 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 4007/960, 9233/6212?

Answer: GCF of Numerators as per given numbers 4007/960, 9233/6212 is

GCF of Numerators i.e. for 4007,9233 is 1

LCM of denominators i.e. for 960,6212 is 1490880.

Thus, GCF of Fractions is 1/1490880.Finally, GCF of Fractions for 4007/960, 9233/6212 is 1/1490880.