Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 980/34,370/4580
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 980,370
Greatest Common Factor of Numerators i.e. GCF of 980,370 is 10 .
LCM of Denominators means LCM of 34,4580 as per the given fractions.
LCM of 34,4580 is 77860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 980,370
2 | 980, 370 |
5 | 490, 185 |
98, 37 |
∴ So the GCF of the given numbers is 2 x 5 = 10
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 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
Greatest Common Factor
We found the factors 980,370 . The biggest common factor number is the GCF number.
So the greatest common factor 980,370 is 10.
Lets's calculate LCM of 34,4580
2 | 34, 4580 |
17, 2290 |
∴ So the LCM of the given numbers is 2 x 17 x 2290 = 77860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/77860
Therefore, the GCF of Fractions 980/34,370/4580 is 10/77860
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 34,4580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,4580) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(34,4580) x common factors =2 x 1 = 2
LCM(34,4580) = ( 34 × 4580 ) / 2
LCM(34,4580) = 155720 / 2
LCM(34,4580) = 77860
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 980/34, 370/4580?
Answer: GCF of Numerators as per given numbers 980/34, 370/4580 is
GCF of Numerators i.e. for 980,370 is 10
LCM of denominators i.e. for 34,4580 is 77860.
Thus, GCF of Fractions is 10/77860.Finally, GCF of Fractions for 980/34, 370/4580 is 10/77860.