Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 374/20,532/98,570/70
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 374,532,570
Greatest Common Factor of Numerators i.e. GCF of 374,532,570 is 2 .
LCM of Denominators means LCM of 20,98,70 as per the given fractions.
LCM of 20,98,70 is 980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 374,532,570
2 | 374, 532, 570 |
187, 266, 285 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Greatest Common Factor
We found the factors 374,532,570 . The biggest common factor number is the GCF number.
So the greatest common factor 374,532,570 is 2.
Lets's calculate LCM of 20,98,70
2 | 20, 98, 70 |
5 | 10, 49, 35 |
7 | 2, 49, 7 |
2, 1, 7 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 2 x 1 x 7 = 980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/980
Therefore, the GCF of Fractions 374/20,532/98,570/70 is 2/980
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 20,98,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,98,70) = 2
common factors(in case of two or more numbers have common factors) = 70
GCF(20,98,70) x common factors =2 x 70 = 140
LCM(20,98,70) = ( 20 × 98 × 70 ) / 140
LCM(20,98,70) = 137200 / 140
LCM(20,98,70) = 980
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 374/20, 532/98, 570/70?
Answer: GCF of Numerators as per given numbers 374/20, 532/98, 570/70 is
GCF of Numerators i.e. for 374,532,570 is 2
LCM of denominators i.e. for 20,98,70 is 980.
Thus, GCF of Fractions is 2/980.Finally, GCF of Fractions for 374/20, 532/98, 570/70 is 2/980.