Use our free GCF of Fractions Calculator tool to compute the GCF of 200/986, 840/607 i.e 40/598502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 200/986, 840/607.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 200/986,840/607
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 200/986,840/607, numerators are 200,840
Denominators are 986,607
The GCF of 200,840 is 40 .
LCM of 986,607 is 598502.
The greatest common factor of 200/986,840/607 = [GCF of 200,840]/[LCM of 986,607]= 40/598502
Therefore, the GCF of 200/986,840/607 is 40/598502.
To find the highest common factor of 200,840, we have to find the factors of both numbers and list the highest common factor.
The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
The factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
The HCF of 200,840 is 40.
Lets's calculate GCF of 200,840
2 | 200, 840 |
2 | 100, 420 |
2 | 50, 210 |
5 | 25, 105 |
5, 21 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Now, list down the factors of 200
:1,2,4,5,8,10,20,25,40,50,100,200
Now, list down the factors of 840
:1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Greatest Common Factor
We found the factors 200,840 . The biggest common factor number is the GCF number.
So the greatest common factor 200,840 is 40.
Lets's calculate LCM of 986,607
Given numbers has no common factors except 1. So, there LCM is their product i.e 598502
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/598502
Therefore, the GCF of Fractions 200/986,840/607 is 40/598502
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 986,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(986,607) x common factors =1 x 1 = 1
LCM(986,607) = ( 986 × 607 ) / 1
LCM(986,607) = 598502 / 1
LCM(986,607) = 598502
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 200,840?
The HCF of 200,840 is 40
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 200/986, 840/607?
Answer: GCF of Numerators as per given numbers 200/986, 840/607 is
GCF of Numerators i.e. for 200,840 is 40
LCM of denominators i.e. for 986,607 is 598502.
Thus, GCF of Fractions is 40/598502.Finally, GCF of Fractions for 200/986, 840/607 is 40/598502.