Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/103,94/853,925/540
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 83,94,925
Greatest Common Factor of Numerators i.e. GCF of 83,94,925 is 1 .
LCM of Denominators means LCM of 103,853,540 as per the given fractions.
LCM of 103,853,540 is 47443860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 83,94,925
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 925
List of positive integer factors of 925 that divides 925 without a remainder.
1,5,25,37,185,925
Greatest Common Factor
We found the factors 83,94,925 . The biggest common factor number is the GCF number.
So the greatest common factor 83,94,925 is 1.
Lets's calculate LCM of 103,853,540
Given numbers has no common factors except 1. So, there LCM is their product i.e 47443860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47443860
Therefore, the GCF of Fractions 83/103,94/853,925/540 is 1/47443860
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 103,853,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,853,540) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,853,540) x common factors =1 x 1 = 1
LCM(103,853,540) = ( 103 × 853 × 540 ) / 1
LCM(103,853,540) = 47443860 / 1
LCM(103,853,540) = 47443860
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 83/103, 94/853, 925/540?
Answer: GCF of Numerators as per given numbers 83/103, 94/853, 925/540 is
GCF of Numerators i.e. for 83,94,925 is 1
LCM of denominators i.e. for 103,853,540 is 47443860.
Thus, GCF of Fractions is 1/47443860.Finally, GCF of Fractions for 83/103, 94/853, 925/540 is 1/47443860.