Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 560/842,4887/1114
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 560,4887
Greatest Common Factor of Numerators i.e. GCF of 560,4887 is 1 .
LCM of Denominators means LCM of 842,1114 as per the given fractions.
LCM of 842,1114 is 468994 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 560,4887
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Factors of 4887
List of positive integer factors of 4887 that divides 4887 without a remainder.
1,3,9,27,181,543,1629,4887
Greatest Common Factor
We found the factors 560,4887 . The biggest common factor number is the GCF number.
So the greatest common factor 560,4887 is 1.
Lets's calculate LCM of 842,1114
2 | 842, 1114 |
421, 557 |
∴ So the LCM of the given numbers is 2 x 421 x 557 = 468994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/468994
Therefore, the GCF of Fractions 560/842,4887/1114 is 1/468994
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 842,1114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,1114) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(842,1114) x common factors =2 x 1 = 2
LCM(842,1114) = ( 842 × 1114 ) / 2
LCM(842,1114) = 937988 / 2
LCM(842,1114) = 468994
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 560/842, 4887/1114?
Answer: GCF of Numerators as per given numbers 560/842, 4887/1114 is
GCF of Numerators i.e. for 560,4887 is 1
LCM of denominators i.e. for 842,1114 is 468994.
Thus, GCF of Fractions is 1/468994.Finally, GCF of Fractions for 560/842, 4887/1114 is 1/468994.