LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 11/766, 9772/9568

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 11/766, 9772/9568 i.e 1/3664544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/766, 9772/9568.

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 11/766,9772/9568?

Given fractions are 11/766,9772/9568

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 11/766,9772/9568, numerators are 11,9772

Denominators are 766,9568

The GCF of 11,9772 is 1 .

LCM of 766,9568 is 3664544.

The greatest common factor of 11/766,9772/9568 = [GCF of 11,9772]/[LCM of 766,9568]= 1/3664544

Therefore, the GCF of 11/766,9772/9568 is 1/3664544.

Greatest Common Factor of 11,9772

To find the highest common factor of 11,9772, we have to find the factors of both numbers and list the highest common factor.

The factors of 11 are 1, 11

The factors of 9772 are 1, 2, 4, 7, 14, 28, 349, 698, 1396, 2443, 4886, 9772

The HCF of 11,9772 is 1.

Lets's calculate GCF of 11,9772

Greatest Common Factor (GCF) of 11,9772 By Common Division

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

Greatest Common Factor of 11,9772 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,9772 By Matching Biggest Common Factor Method

Now, list down the factors of 11

:

1,11

Now, list down the factors of 9772

:

1,2,4,7,14,28,349,698,1396,2443,4886,9772

Greatest Common Factor

We found the factors 11,9772 . The biggest common factor number is the GCF number.
So the greatest common factor 11,9772 is 1.

Lets's calculate LCM of 766,9568

Lowest Common Multiple of 766,9568 using Common Division

2 766, 9568
383, 4784

∴ So the LCM of the given numbers is 2 x 383 x 4784 = 3664544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3664544

Therefore, the GCF of Fractions 11/766,9772/9568 is 1/3664544

Least Common Multiple of 766,9568 with GCF Formula

Least Common Multiple of 766,9568 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 766,9568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,9568) = 2

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

GCF(766,9568) x common factors =2 x 1 = 2

LCM(766,9568) = ( 766 × 9568 ) / 2

LCM(766,9568) = 7329088 / 2

LCM(766,9568) = 3664544


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 11/766, 9772/9568

1. What is the HCF of 11,9772?

The HCF of 11,9772 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 11/766, 9772/9568?

Answer: GCF of Numerators as per given numbers 11/766, 9772/9568 is

GCF of Numerators i.e. for 11,9772 is 1

LCM of denominators i.e. for 766,9568 is 3664544.

Thus, GCF of Fractions is 1/3664544.Finally, GCF of Fractions for 11/766, 9772/9568 is 1/3664544.