Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 890/28,980/1601
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 890,980
Greatest Common Factor of Numerators i.e. GCF of 890,980 is 10 .
LCM of Denominators means LCM of 28,1601 as per the given fractions.
LCM of 28,1601 is 44828 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 890,980
2 | 890, 980 |
5 | 445, 490 |
89, 98 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
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
Greatest Common Factor
We found the factors 890,980 . The biggest common factor number is the GCF number.
So the greatest common factor 890,980 is 10.
Lets's calculate LCM of 28,1601
Given numbers has no common factors except 1. So, there LCM is their product i.e 44828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/44828
Therefore, the GCF of Fractions 890/28,980/1601 is 10/44828
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 28,1601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,1601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(28,1601) x common factors =1 x 1 = 1
LCM(28,1601) = ( 28 × 1601 ) / 1
LCM(28,1601) = 44828 / 1
LCM(28,1601) = 44828
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 890/28, 980/1601?
Answer: GCF of Numerators as per given numbers 890/28, 980/1601 is
GCF of Numerators i.e. for 890,980 is 10
LCM of denominators i.e. for 28,1601 is 44828.
Thus, GCF of Fractions is 10/44828.Finally, GCF of Fractions for 890/28, 980/1601 is 10/44828.