Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6020/158,9759/669
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 6020,9759
Greatest Common Factor of Numerators i.e. GCF of 6020,9759 is 1 .
LCM of Denominators means LCM of 158,669 as per the given fractions.
LCM of 158,669 is 105702 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6020,9759
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6020
List of positive integer factors of 6020 that divides 6020 without a remainder.
1,2,4,5,7,10,14,20,28,35,43,70,86,140,172,215,301,430,602,860,1204,1505,3010,6020
Factors of 9759
List of positive integer factors of 9759 that divides 9759 without a remainder.
1,3,3253,9759
Greatest Common Factor
We found the factors 6020,9759 . The biggest common factor number is the GCF number.
So the greatest common factor 6020,9759 is 1.
Lets's calculate LCM of 158,669
Given numbers has no common factors except 1. So, there LCM is their product i.e 105702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105702
Therefore, the GCF of Fractions 6020/158,9759/669 is 1/105702
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 158,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,669) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(158,669) x common factors =1 x 1 = 1
LCM(158,669) = ( 158 × 669 ) / 1
LCM(158,669) = 105702 / 1
LCM(158,669) = 105702
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 6020/158, 9759/669?
Answer: GCF of Numerators as per given numbers 6020/158, 9759/669 is
GCF of Numerators i.e. for 6020,9759 is 1
LCM of denominators i.e. for 158,669 is 105702.
Thus, GCF of Fractions is 1/105702.Finally, GCF of Fractions for 6020/158, 9759/669 is 1/105702.