Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 274/81,980/77,684/193
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 274,980,684
Greatest Common Factor of Numerators i.e. GCF of 274,980,684 is 2 .
LCM of Denominators means LCM of 81,77,193 as per the given fractions.
LCM of 81,77,193 is 1203741 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 274,980,684
2 | 274, 980, 684 |
137, 490, 342 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1,2,137,274
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Factors of 684
List of positive integer factors of 684 that divides 684 without a remainder.
1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Greatest Common Factor
We found the factors 274,980,684 . The biggest common factor number is the GCF number.
So the greatest common factor 274,980,684 is 2.
Lets's calculate LCM of 81,77,193
Given numbers has no common factors except 1. So, there LCM is their product i.e 1203741
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1203741
Therefore, the GCF of Fractions 274/81,980/77,684/193 is 2/1203741
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 81,77,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,77,193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,77,193) x common factors =1 x 1 = 1
LCM(81,77,193) = ( 81 × 77 × 193 ) / 1
LCM(81,77,193) = 1203741 / 1
LCM(81,77,193) = 1203741
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 274/81, 980/77, 684/193?
Answer: GCF of Numerators as per given numbers 274/81, 980/77, 684/193 is
GCF of Numerators i.e. for 274,980,684 is 2
LCM of denominators i.e. for 81,77,193 is 1203741.
Thus, GCF of Fractions is 2/1203741.Finally, GCF of Fractions for 274/81, 980/77, 684/193 is 2/1203741.