Use our free GCF of Fractions Calculator tool to compute the GCF of 250/130, 840/979 i.e 10/127270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 250/130, 840/979.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 250/130,840/979
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 250/130,840/979, numerators are 250,840
Denominators are 130,979
The GCF of 250,840 is 10 .
LCM of 130,979 is 127270.
The greatest common factor of 250/130,840/979 = [GCF of 250,840]/[LCM of 130,979]= 10/127270
Therefore, the GCF of 250/130,840/979 is 10/127270.
To find the highest common factor of 250,840, we have to find the factors of both numbers and list the highest common factor.
The factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250
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 250,840 is 10.
Lets's calculate GCF of 250,840
2 | 250, 840 |
5 | 125, 420 |
25, 84 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Now, list down the factors of 250
:1,2,5,10,25,50,125,250
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 250,840 . The biggest common factor number is the GCF number.
So the greatest common factor 250,840 is 10.
Lets's calculate LCM of 130,979
Given numbers has no common factors except 1. So, there LCM is their product i.e 127270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/127270
Therefore, the GCF of Fractions 250/130,840/979 is 10/127270
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 130,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,979) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(130,979) x common factors =1 x 1 = 1
LCM(130,979) = ( 130 × 979 ) / 1
LCM(130,979) = 127270 / 1
LCM(130,979) = 127270
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 250,840?
The HCF of 250,840 is 10
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 250/130, 840/979?
Answer: GCF of Numerators as per given numbers 250/130, 840/979 is
GCF of Numerators i.e. for 250,840 is 10
LCM of denominators i.e. for 130,979 is 127270.
Thus, GCF of Fractions is 10/127270.Finally, GCF of Fractions for 250/130, 840/979 is 10/127270.