Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 637/562,3770/472
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 637,3770
Greatest Common Factor of Numerators i.e. GCF of 637,3770 is 13 .
LCM of Denominators means LCM of 562,472 as per the given fractions.
LCM of 562,472 is 132632 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 637,3770
13 | 637, 3770 |
49, 290 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 637
List of positive integer factors of 637 that divides 637 without a remainder.
1,7,13,49,91,637
Factors of 3770
List of positive integer factors of 3770 that divides 3770 without a remainder.
1,2,5,10,13,26,29,58,65,130,145,290,377,754,1885,3770
Greatest Common Factor
We found the factors 637,3770 . The biggest common factor number is the GCF number.
So the greatest common factor 637,3770 is 13.
Lets's calculate LCM of 562,472
2 | 562, 472 |
281, 236 |
∴ So the LCM of the given numbers is 2 x 281 x 236 = 132632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/132632
Therefore, the GCF of Fractions 637/562,3770/472 is 13/132632
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 562,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,472) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(562,472) x common factors =2 x 1 = 2
LCM(562,472) = ( 562 × 472 ) / 2
LCM(562,472) = 265264 / 2
LCM(562,472) = 132632
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 637/562, 3770/472?
Answer: GCF of Numerators as per given numbers 637/562, 3770/472 is
GCF of Numerators i.e. for 637,3770 is 13
LCM of denominators i.e. for 562,472 is 132632.
Thus, GCF of Fractions is 13/132632.Finally, GCF of Fractions for 637/562, 3770/472 is 13/132632.