Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 780/523,424/974
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 780,424
Greatest Common Factor of Numerators i.e. GCF of 780,424 is 4 .
LCM of Denominators means LCM of 523,974 as per the given fractions.
LCM of 523,974 is 509402 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 780,424
2 | 780, 424 |
2 | 390, 212 |
195, 106 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Greatest Common Factor
We found the factors 780,424 . The biggest common factor number is the GCF number.
So the greatest common factor 780,424 is 4.
Lets's calculate LCM of 523,974
Given numbers has no common factors except 1. So, there LCM is their product i.e 509402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/509402
Therefore, the GCF of Fractions 780/523,424/974 is 4/509402
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 523,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(523,974) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(523,974) x common factors =1 x 1 = 1
LCM(523,974) = ( 523 × 974 ) / 1
LCM(523,974) = 509402 / 1
LCM(523,974) = 509402
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 780/523, 424/974?
Answer: GCF of Numerators as per given numbers 780/523, 424/974 is
GCF of Numerators i.e. for 780,424 is 4
LCM of denominators i.e. for 523,974 is 509402.
Thus, GCF of Fractions is 4/509402.Finally, GCF of Fractions for 780/523, 424/974 is 4/509402.