How to Find GCF of 9779/899, 7741/7685?

GCF of 9779/899, 7741/7685

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 9779/899, 7741/7685 i.e 1/238235 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9779/899, 7741/7685.

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 9779/899,7741/7685?

Given fractions are 9779/899,7741/7685

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 9779/899,7741/7685, numerators are 9779,7741

Denominators are 899,7685

The GCF of 9779,7741 is 1 .

LCM of 899,7685 is 238235.

The greatest common factor of 9779/899,7741/7685 = [GCF of 9779,7741]/[LCM of 899,7685]= 1/238235

Therefore, the GCF of 9779/899,7741/7685 is 1/238235.

Greatest Common Factor of 9779,7741

To find the highest common factor of 9779,7741, we have to find the factors of both numbers and list the highest common factor.

The factors of 9779 are 1, 7, 11, 77, 127, 889, 1397, 9779

The factors of 7741 are 1, 7741

The HCF of 9779,7741 is 1.

Lets's calculate GCF of 9779,7741

Greatest Common Factor (GCF) of 9779,7741 By Common Division

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

Greatest Common Factor of 9779,7741 By Matching Biggest Common Factor Method

Now, list down the factors of 9779

1,7,11,77,127,889,1397,9779

Now, list down the factors of 7741

1,7741

Greatest Common Factor

We found the factors 9779,7741 . The biggest common factor number is the GCF number.
So the greatest common factor 9779,7741 is 1.

Lets's calculate LCM of 899,7685

Lowest Common Multiple of 899,7685 using Common Division

29	899, 7685
	31, 265

∴ So the LCM of the given numbers is 29 x 31 x 265 = 238235

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238235

Therefore, the GCF of Fractions 9779/899,7741/7685 is 1/238235

Least Common Multiple of 899,7685 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 899,7685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(899,7685) = 29

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

GCF(899,7685) x common factors =29 x 1 = 29

LCM(899,7685) = ( 899 × 7685 ) / 29

LCM(899,7685) = 6908815 / 29

LCM(899,7685) = 238235

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9779/899, 7741/7685

1. What is the HCF of 9779,7741?

The HCF of 9779,7741 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 9779/899, 7741/7685?

Answer: GCF of Numerators as per given numbers 9779/899, 7741/7685 is

GCF of Numerators i.e. for 9779,7741 is 1

LCM of denominators i.e. for 899,7685 is 238235.

Thus, GCF of Fractions is 1/238235.Finally, GCF of Fractions for 9779/899, 7741/7685 is 1/238235.