Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2490/37,1072/670
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 2490,1072
Greatest Common Factor of Numerators i.e. GCF of 2490,1072 is 2 .
LCM of Denominators means LCM of 37,670 as per the given fractions.
LCM of 37,670 is 24790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2490,1072
2 | 2490, 1072 |
1245, 536 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2490
List of positive integer factors of 2490 that divides 2490 without a remainder.
1,2,3,5,6,10,15,30,83,166,249,415,498,830,1245,2490
Factors of 1072
List of positive integer factors of 1072 that divides 1072 without a remainder.
1,2,4,8,16,67,134,268,536,1072
Greatest Common Factor
We found the factors 2490,1072 . The biggest common factor number is the GCF number.
So the greatest common factor 2490,1072 is 2.
Lets's calculate LCM of 37,670
Given numbers has no common factors except 1. So, there LCM is their product i.e 24790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24790
Therefore, the GCF of Fractions 2490/37,1072/670 is 2/24790
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 37,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,670) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,670) x common factors =1 x 1 = 1
LCM(37,670) = ( 37 × 670 ) / 1
LCM(37,670) = 24790 / 1
LCM(37,670) = 24790
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 2490/37, 1072/670?
Answer: GCF of Numerators as per given numbers 2490/37, 1072/670 is
GCF of Numerators i.e. for 2490,1072 is 2
LCM of denominators i.e. for 37,670 is 24790.
Thus, GCF of Fractions is 2/24790.Finally, GCF of Fractions for 2490/37, 1072/670 is 2/24790.