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 7069/777, 5865/999

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 7069/777, 5865/999 i.e 1/6993 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7069/777, 5865/999.

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 7069/777,5865/999?

Given fractions are 7069/777,5865/999

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 7069/777,5865/999, numerators are 7069,5865

Denominators are 777,999

The GCF of 7069,5865 is 1 .

LCM of 777,999 is 6993.

The greatest common factor of 7069/777,5865/999 = [GCF of 7069,5865]/[LCM of 777,999]= 1/6993

Therefore, the GCF of 7069/777,5865/999 is 1/6993.

Greatest Common Factor of 7069,5865

To find the highest common factor of 7069,5865, we have to find the factors of both numbers and list the highest common factor.

The factors of 7069 are 1, 7069

The factors of 5865 are 1, 3, 5, 15, 17, 23, 51, 69, 85, 115, 255, 345, 391, 1173, 1955, 5865

The HCF of 7069,5865 is 1.

Lets's calculate GCF of 7069,5865

Greatest Common Factor (GCF) of 7069,5865 By Common Division

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

Greatest Common Factor of 7069,5865 By Matching Biggest Common Factor Method

Greatest Common Factor of 7069,5865 By Matching Biggest Common Factor Method

Now, list down the factors of 7069

:

1,7069

Now, list down the factors of 5865

:

1,3,5,15,17,23,51,69,85,115,255,345,391,1173,1955,5865

Greatest Common Factor

We found the factors 7069,5865 . The biggest common factor number is the GCF number.
So the greatest common factor 7069,5865 is 1.


Lets's calculate LCM of 777,999

Lowest Common Multiple of 777,999 using Common Division

3 777, 999
37 259, 333
7, 9

∴ So the LCM of the given numbers is 3 x 37 x 7 x 9 = 6993

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6993

Therefore, the GCF of Fractions 7069/777,5865/999 is 1/6993

Least Common Multiple of 777,999 with GCF Formula

Least Common Multiple of 777,999 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 777,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,999) = 111

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

GCF(777,999) x common factors =111 x 1 = 111

LCM(777,999) = ( 777 × 999 ) / 111

LCM(777,999) = 776223 / 111

LCM(777,999) = 6993


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 7069/777, 5865/999

1. What is the HCF of 7069,5865?

The HCF of 7069,5865 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 7069/777, 5865/999?

Answer: GCF of Numerators as per given numbers 7069/777, 5865/999 is

GCF of Numerators i.e. for 7069,5865 is 1

LCM of denominators i.e. for 777,999 is 6993.

Thus, GCF of Fractions is 1/6993.Finally, GCF of Fractions for 7069/777, 5865/999 is 1/6993.