Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 744/127,5630/3769
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 744,5630
Greatest Common Factor of Numerators i.e. GCF of 744,5630 is 2 .
LCM of Denominators means LCM of 127,3769 as per the given fractions.
LCM of 127,3769 is 478663 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 744,5630
2 | 744, 5630 |
372, 2815 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 744
List of positive integer factors of 744 that divides 744 without a remainder.
1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Factors of 5630
List of positive integer factors of 5630 that divides 5630 without a remainder.
1,2,5,10,563,1126,2815,5630
Greatest Common Factor
We found the factors 744,5630 . The biggest common factor number is the GCF number.
So the greatest common factor 744,5630 is 2.
Lets's calculate LCM of 127,3769
Given numbers has no common factors except 1. So, there LCM is their product i.e 478663
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/478663
Therefore, the GCF of Fractions 744/127,5630/3769 is 2/478663
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 127,3769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,3769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,3769) x common factors =1 x 1 = 1
LCM(127,3769) = ( 127 × 3769 ) / 1
LCM(127,3769) = 478663 / 1
LCM(127,3769) = 478663
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 744/127, 5630/3769?
Answer: GCF of Numerators as per given numbers 744/127, 5630/3769 is
GCF of Numerators i.e. for 744,5630 is 2
LCM of denominators i.e. for 127,3769 is 478663.
Thus, GCF of Fractions is 2/478663.Finally, GCF of Fractions for 744/127, 5630/3769 is 2/478663.