Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 54/749,754/157,465/787
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 54,754,465
Greatest Common Factor of Numerators i.e. GCF of 54,754,465 is 1 .
LCM of Denominators means LCM of 749,157,787 as per the given fractions.
LCM of 749,157,787 is 92545691 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 54,754,465
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 54,754,465 . The biggest common factor number is the GCF number.
So the greatest common factor 54,754,465 is 1.
Lets's calculate LCM of 749,157,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 92545691
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92545691
Therefore, the GCF of Fractions 54/749,754/157,465/787 is 1/92545691
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 749,157,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,157,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,157,787) x common factors =1 x 1 = 1
LCM(749,157,787) = ( 749 × 157 × 787 ) / 1
LCM(749,157,787) = 92545691 / 1
LCM(749,157,787) = 92545691
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 54/749, 754/157, 465/787?
Answer: GCF of Numerators as per given numbers 54/749, 754/157, 465/787 is
GCF of Numerators i.e. for 54,754,465 is 1
LCM of denominators i.e. for 749,157,787 is 92545691.
Thus, GCF of Fractions is 1/92545691.Finally, GCF of Fractions for 54/749, 754/157, 465/787 is 1/92545691.