Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 420/79,109/98,780/275
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 420,109,780
Greatest Common Factor of Numerators i.e. GCF of 420,109,780 is 1 .
LCM of Denominators means LCM of 79,98,275 as per the given fractions.
LCM of 79,98,275 is 2129050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 420,109,780
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
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
Greatest Common Factor
We found the factors 420,109,780 . The biggest common factor number is the GCF number.
So the greatest common factor 420,109,780 is 1.
Lets's calculate LCM of 79,98,275
Given numbers has no common factors except 1. So, there LCM is their product i.e 2129050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2129050
Therefore, the GCF of Fractions 420/79,109/98,780/275 is 1/2129050
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 79,98,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,98,275) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,98,275) x common factors =1 x 1 = 1
LCM(79,98,275) = ( 79 × 98 × 275 ) / 1
LCM(79,98,275) = 2129050 / 1
LCM(79,98,275) = 2129050
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 420/79, 109/98, 780/275?
Answer: GCF of Numerators as per given numbers 420/79, 109/98, 780/275 is
GCF of Numerators i.e. for 420,109,780 is 1
LCM of denominators i.e. for 79,98,275 is 2129050.
Thus, GCF of Fractions is 1/2129050.Finally, GCF of Fractions for 420/79, 109/98, 780/275 is 1/2129050.