Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1763/98,1564/115
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 1763,1564
Greatest Common Factor of Numerators i.e. GCF of 1763,1564 is 1 .
LCM of Denominators means LCM of 98,115 as per the given fractions.
LCM of 98,115 is 11270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1763,1564
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1763
List of positive integer factors of 1763 that divides 1763 without a remainder.
1,41,43,1763
Factors of 1564
List of positive integer factors of 1564 that divides 1564 without a remainder.
1,2,4,17,23,34,46,68,92,391,782,1564
Greatest Common Factor
We found the factors 1763,1564 . The biggest common factor number is the GCF number.
So the greatest common factor 1763,1564 is 1.
Lets's calculate LCM of 98,115
Given numbers has no common factors except 1. So, there LCM is their product i.e 11270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11270
Therefore, the GCF of Fractions 1763/98,1564/115 is 1/11270
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 98,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(98,115) x common factors =1 x 1 = 1
LCM(98,115) = ( 98 × 115 ) / 1
LCM(98,115) = 11270 / 1
LCM(98,115) = 11270
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 1763/98, 1564/115?
Answer: GCF of Numerators as per given numbers 1763/98, 1564/115 is
GCF of Numerators i.e. for 1763,1564 is 1
LCM of denominators i.e. for 98,115 is 11270.
Thus, GCF of Fractions is 1/11270.Finally, GCF of Fractions for 1763/98, 1564/115 is 1/11270.