Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 753/10,156/50,418/608
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 753,156,418
Greatest Common Factor of Numerators i.e. GCF of 753,156,418 is 1 .
LCM of Denominators means LCM of 10,50,608 as per the given fractions.
LCM of 10,50,608 is 15200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 753,156,418
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Greatest Common Factor
We found the factors 753,156,418 . The biggest common factor number is the GCF number.
So the greatest common factor 753,156,418 is 1.
Lets's calculate LCM of 10,50,608
2 | 10, 50, 608 |
5 | 5, 25, 304 |
1, 5, 304 |
∴ So the LCM of the given numbers is 2 x 5 x 1 x 5 x 304 = 15200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15200
Therefore, the GCF of Fractions 753/10,156/50,418/608 is 1/15200
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 10,50,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,50,608) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(10,50,608) x common factors =2 x 10 = 20
LCM(10,50,608) = ( 10 × 50 × 608 ) / 20
LCM(10,50,608) = 304000 / 20
LCM(10,50,608) = 15200
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 753/10, 156/50, 418/608?
Answer: GCF of Numerators as per given numbers 753/10, 156/50, 418/608 is
GCF of Numerators i.e. for 753,156,418 is 1
LCM of denominators i.e. for 10,50,608 is 15200.
Thus, GCF of Fractions is 1/15200.Finally, GCF of Fractions for 753/10, 156/50, 418/608 is 1/15200.