Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 250/803,4870/628
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 250,4870
Greatest Common Factor of Numerators i.e. GCF of 250,4870 is 10 .
LCM of Denominators means LCM of 803,628 as per the given fractions.
LCM of 803,628 is 504284 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 250,4870
2 | 250, 4870 |
5 | 125, 2435 |
25, 487 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Factors of 4870
List of positive integer factors of 4870 that divides 4870 without a remainder.
1,2,5,10,487,974,2435,4870
Greatest Common Factor
We found the factors 250,4870 . The biggest common factor number is the GCF number.
So the greatest common factor 250,4870 is 10.
Lets's calculate LCM of 803,628
Given numbers has no common factors except 1. So, there LCM is their product i.e 504284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/504284
Therefore, the GCF of Fractions 250/803,4870/628 is 10/504284
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 803,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(803,628) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(803,628) x common factors =1 x 1 = 1
LCM(803,628) = ( 803 × 628 ) / 1
LCM(803,628) = 504284 / 1
LCM(803,628) = 504284
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 250/803, 4870/628?
Answer: GCF of Numerators as per given numbers 250/803, 4870/628 is
GCF of Numerators i.e. for 250,4870 is 10
LCM of denominators i.e. for 803,628 is 504284.
Thus, GCF of Fractions is 10/504284.Finally, GCF of Fractions for 250/803, 4870/628 is 10/504284.