Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/20,52/90,49/460,274/558
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 2,52,49,274
Greatest Common Factor of Numerators i.e. GCF of 2,52,49,274 is 1 .
LCM of Denominators means LCM of 20,90,460,558 as per the given fractions.
LCM of 20,90,460,558 is 128340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,52,49,274
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1,2,137,274
Greatest Common Factor
We found the factors 2,52,49,274 . The biggest common factor number is the GCF number.
So the greatest common factor 2,52,49,274 is 1.
Lets's calculate LCM of 20,90,460,558
2 | 20, 90, 460, 558 |
2 | 10, 45, 230, 279 |
3 | 5, 45, 115, 279 |
3 | 5, 15, 115, 93 |
5 | 5, 5, 115, 31 |
1, 1, 23, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 1 x 1 x 23 x 31 = 128340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128340
Therefore, the GCF of Fractions 2/20,52/90,49/460,274/558 is 1/128340
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 20,90,460,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,90,460,558) = 2
common factors(in case of two or more numbers have common factors) = 1800
GCF(20,90,460,558) x common factors =2 x 1800 = 3600
LCM(20,90,460,558) = ( 20 × 90 × 460 × 558 ) / 3600
LCM(20,90,460,558) = 462024000 / 3600
LCM(20,90,460,558) = 128340
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 2/20, 52/90, 49/460, 274/558?
Answer: GCF of Numerators as per given numbers 2/20, 52/90, 49/460, 274/558 is
GCF of Numerators i.e. for 2,52,49,274 is 1
LCM of denominators i.e. for 20,90,460,558 is 128340.
Thus, GCF of Fractions is 1/128340.Finally, GCF of Fractions for 2/20, 52/90, 49/460, 274/558 is 1/128340.