GCF of 799/711, 694/255, 215/638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 799/711, 694/255, 215/638 i.e 1/38557530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 799/711, 694/255, 215/638.
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 799/711,694/255,215/638?
Given fractions are 799/711,694/255,215/638
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 799/711,694/255,215/638, numerators are 799,694,215
Denominators are 711,255,638
The GCF of 799,694,215 is 1 .
LCM of 711,255,638 is 38557530.
The greatest common factor of 799/711,694/255,215/638 = [GCF of 799,694,215]/[LCM of 711,255,638]= 1/38557530
Therefore, the GCF of 799/711,694/255,215/638 is 1/38557530.
To find the highest common factor of 799,694,215, we have to find the factors of both numbers and list the highest common factor.
The factors of 799 are 1, 17, 47, 799
The factors of 694 are 1, 2, 347, 694
The factors of 215 are 1, 5, 43, 215
The HCF of 799,694,215 is 1.
Lets's calculate GCF of 799,694,215
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 799,694,215 By Matching Biggest Common Factor Method
Now, list down the factors of 799
:1,17,47,799
Now, list down the factors of 694
:1,2,347,694
Now, list down the factors of 215
:1,5,43,215
Greatest Common Factor
We found the factors 799,694,215 . The biggest common factor number is the GCF number.
So the greatest common factor 799,694,215 is 1.
Lets's calculate LCM of 711,255,638
| 3 | 711, 255, 638 |
| 237, 85, 638 |
∴ So the LCM of the given numbers is 3 x 237 x 85 x 638 = 38557530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38557530
Therefore, the GCF of Fractions 799/711,694/255,215/638 is 1/38557530
Least Common Multiple of 711,255,638 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 711,255,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,255,638) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(711,255,638) x common factors =1 x 3 = 3
LCM(711,255,638) = ( 711 × 255 × 638 ) / 3
LCM(711,255,638) = 115672590 / 3
LCM(711,255,638) = 38557530
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FAQs on GCF of Fractions of 799/711, 694/255, 215/638
1. What is the HCF of 799,694,215?
The HCF of 799,694,215 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 799/711, 694/255, 215/638?
Answer: GCF of Numerators as per given numbers 799/711, 694/255, 215/638 is
GCF of Numerators i.e. for 799,694,215 is 1
LCM of denominators i.e. for 711,255,638 is 38557530.
Thus, GCF of Fractions is 1/38557530.Finally, GCF of Fractions for 799/711, 694/255, 215/638 is 1/38557530.