Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3652/938,9530/2532
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 3652,9530
Greatest Common Factor of Numerators i.e. GCF of 3652,9530 is 2 .
LCM of Denominators means LCM of 938,2532 as per the given fractions.
LCM of 938,2532 is 1187508 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3652,9530
2 | 3652, 9530 |
1826, 4765 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3652
List of positive integer factors of 3652 that divides 3652 without a remainder.
1,2,4,11,22,44,83,166,332,913,1826,3652
Factors of 9530
List of positive integer factors of 9530 that divides 9530 without a remainder.
1,2,5,10,953,1906,4765,9530
Greatest Common Factor
We found the factors 3652,9530 . The biggest common factor number is the GCF number.
So the greatest common factor 3652,9530 is 2.
Lets's calculate LCM of 938,2532
2 | 938, 2532 |
469, 1266 |
∴ So the LCM of the given numbers is 2 x 469 x 1266 = 1187508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1187508
Therefore, the GCF of Fractions 3652/938,9530/2532 is 2/1187508
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 938,2532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,2532) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(938,2532) x common factors =2 x 1 = 2
LCM(938,2532) = ( 938 × 2532 ) / 2
LCM(938,2532) = 2375016 / 2
LCM(938,2532) = 1187508
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 3652/938, 9530/2532?
Answer: GCF of Numerators as per given numbers 3652/938, 9530/2532 is
GCF of Numerators i.e. for 3652,9530 is 2
LCM of denominators i.e. for 938,2532 is 1187508.
Thus, GCF of Fractions is 2/1187508.Finally, GCF of Fractions for 3652/938, 9530/2532 is 2/1187508.