GCF of 68/707, 806/992, 799/246
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 68/707, 806/992, 799/246 i.e 1/86265312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 68/707, 806/992, 799/246.
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 68/707,806/992,799/246?
Given fractions are 68/707,806/992,799/246
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 68/707,806/992,799/246, numerators are 68,806,799
Denominators are 707,992,246
The GCF of 68,806,799 is 1 .
LCM of 707,992,246 is 86265312.
The greatest common factor of 68/707,806/992,799/246 = [GCF of 68,806,799]/[LCM of 707,992,246]= 1/86265312
Therefore, the GCF of 68/707,806/992,799/246 is 1/86265312.
To find the highest common factor of 68,806,799, we have to find the factors of both numbers and list the highest common factor.
The factors of 68 are 1, 2, 4, 17, 34, 68
The factors of 806 are 1, 2, 13, 26, 31, 62, 403, 806
The factors of 799 are 1, 17, 47, 799
The HCF of 68,806,799 is 1.
Lets's calculate GCF of 68,806,799
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 68,806,799 By Matching Biggest Common Factor Method
Now, list down the factors of 68
:1,2,4,17,34,68
Now, list down the factors of 806
:1,2,13,26,31,62,403,806
Now, list down the factors of 799
:1,17,47,799
Greatest Common Factor
We found the factors 68,806,799 . The biggest common factor number is the GCF number.
So the greatest common factor 68,806,799 is 1.
Lets's calculate LCM of 707,992,246
| 2 | 707, 992, 246 |
| 707, 496, 123 |
∴ So the LCM of the given numbers is 2 x 707 x 496 x 123 = 86265312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86265312
Therefore, the GCF of Fractions 68/707,806/992,799/246 is 1/86265312
Least Common Multiple of 707,992,246 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 707,992,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,992,246) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(707,992,246) x common factors =1 x 2 = 2
LCM(707,992,246) = ( 707 × 992 × 246 ) / 2
LCM(707,992,246) = 172530624 / 2
LCM(707,992,246) = 86265312
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 68/707, 806/992, 799/246
1. What is the HCF of 68,806,799?
The HCF of 68,806,799 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 68/707, 806/992, 799/246?
Answer: GCF of Numerators as per given numbers 68/707, 806/992, 799/246 is
GCF of Numerators i.e. for 68,806,799 is 1
LCM of denominators i.e. for 707,992,246 is 86265312.
Thus, GCF of Fractions is 1/86265312.Finally, GCF of Fractions for 68/707, 806/992, 799/246 is 1/86265312.