Use our free GCF of Fractions Calculator tool to compute the GCF of 801/684, 420/719 i.e 3/491796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 801/684, 420/719.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 801/684,420/719
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 801/684,420/719, numerators are 801,420
Denominators are 684,719
The GCF of 801,420 is 3 .
LCM of 684,719 is 491796.
The greatest common factor of 801/684,420/719 = [GCF of 801,420]/[LCM of 684,719]= 3/491796
Therefore, the GCF of 801/684,420/719 is 3/491796.
To find the highest common factor of 801,420, we have to find the factors of both numbers and list the highest common factor.
The factors of 801 are 1, 3, 9, 89, 267, 801
The factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
The HCF of 801,420 is 3.
Lets's calculate GCF of 801,420
3 | 801, 420 |
267, 140 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 801
:1,3,9,89,267,801
Now, list down the factors of 420
:1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Greatest Common Factor
We found the factors 801,420 . The biggest common factor number is the GCF number.
So the greatest common factor 801,420 is 3.
Lets's calculate LCM of 684,719
Given numbers has no common factors except 1. So, there LCM is their product i.e 491796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/491796
Therefore, the GCF of Fractions 801/684,420/719 is 3/491796
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 684,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(684,719) x common factors =1 x 1 = 1
LCM(684,719) = ( 684 × 719 ) / 1
LCM(684,719) = 491796 / 1
LCM(684,719) = 491796
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 801,420?
The HCF of 801,420 is 3
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 801/684, 420/719?
Answer: GCF of Numerators as per given numbers 801/684, 420/719 is
GCF of Numerators i.e. for 801,420 is 3
LCM of denominators i.e. for 684,719 is 491796.
Thus, GCF of Fractions is 3/491796.Finally, GCF of Fractions for 801/684, 420/719 is 3/491796.