Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1045/52,8952/740
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 1045,8952
Greatest Common Factor of Numerators i.e. GCF of 1045,8952 is 1 .
LCM of Denominators means LCM of 52,740 as per the given fractions.
LCM of 52,740 is 9620 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1045,8952
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1045
List of positive integer factors of 1045 that divides 1045 without a remainder.
1,5,11,19,55,95,209,1045
Factors of 8952
List of positive integer factors of 8952 that divides 8952 without a remainder.
1,2,3,4,6,8,12,24,373,746,1119,1492,2238,2984,4476,8952
Greatest Common Factor
We found the factors 1045,8952 . The biggest common factor number is the GCF number.
So the greatest common factor 1045,8952 is 1.
Lets's calculate LCM of 52,740
2 | 52, 740 |
2 | 26, 370 |
13, 185 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 185 = 9620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9620
Therefore, the GCF of Fractions 1045/52,8952/740 is 1/9620
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 52,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,740) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(52,740) x common factors =4 x 1 = 4
LCM(52,740) = ( 52 × 740 ) / 4
LCM(52,740) = 38480 / 4
LCM(52,740) = 9620
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 1045/52, 8952/740?
Answer: GCF of Numerators as per given numbers 1045/52, 8952/740 is
GCF of Numerators i.e. for 1045,8952 is 1
LCM of denominators i.e. for 52,740 is 9620.
Thus, GCF of Fractions is 1/9620.Finally, GCF of Fractions for 1045/52, 8952/740 is 1/9620.