Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1490/26,6390/890
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 1490,6390
Greatest Common Factor of Numerators i.e. GCF of 1490,6390 is 10 .
LCM of Denominators means LCM of 26,890 as per the given fractions.
LCM of 26,890 is 11570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1490,6390
2 | 1490, 6390 |
5 | 745, 3195 |
149, 639 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 1490
List of positive integer factors of 1490 that divides 1490 without a remainder.
1,2,5,10,149,298,745,1490
Factors of 6390
List of positive integer factors of 6390 that divides 6390 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,71,90,142,213,355,426,639,710,1065,1278,2130,3195,6390
Greatest Common Factor
We found the factors 1490,6390 . The biggest common factor number is the GCF number.
So the greatest common factor 1490,6390 is 10.
Lets's calculate LCM of 26,890
2 | 26, 890 |
13, 445 |
∴ So the LCM of the given numbers is 2 x 13 x 445 = 11570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/11570
Therefore, the GCF of Fractions 1490/26,6390/890 is 10/11570
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 26,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,890) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(26,890) x common factors =2 x 1 = 2
LCM(26,890) = ( 26 × 890 ) / 2
LCM(26,890) = 23140 / 2
LCM(26,890) = 11570
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 1490/26, 6390/890?
Answer: GCF of Numerators as per given numbers 1490/26, 6390/890 is
GCF of Numerators i.e. for 1490,6390 is 10
LCM of denominators i.e. for 26,890 is 11570.
Thus, GCF of Fractions is 10/11570.Finally, GCF of Fractions for 1490/26, 6390/890 is 10/11570.