Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6142/53,9380/701
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 6142,9380
Greatest Common Factor of Numerators i.e. GCF of 6142,9380 is 2 .
LCM of Denominators means LCM of 53,701 as per the given fractions.
LCM of 53,701 is 37153 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6142,9380
2 | 6142, 9380 |
3071, 4690 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6142
List of positive integer factors of 6142 that divides 6142 without a remainder.
1,2,37,74,83,166,3071,6142
Factors of 9380
List of positive integer factors of 9380 that divides 9380 without a remainder.
1,2,4,5,7,10,14,20,28,35,67,70,134,140,268,335,469,670,938,1340,1876,2345,4690,9380
Greatest Common Factor
We found the factors 6142,9380 . The biggest common factor number is the GCF number.
So the greatest common factor 6142,9380 is 2.
Lets's calculate LCM of 53,701
Given numbers has no common factors except 1. So, there LCM is their product i.e 37153
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37153
Therefore, the GCF of Fractions 6142/53,9380/701 is 2/37153
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 53,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,701) x common factors =1 x 1 = 1
LCM(53,701) = ( 53 × 701 ) / 1
LCM(53,701) = 37153 / 1
LCM(53,701) = 37153
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 6142/53, 9380/701?
Answer: GCF of Numerators as per given numbers 6142/53, 9380/701 is
GCF of Numerators i.e. for 6142,9380 is 2
LCM of denominators i.e. for 53,701 is 37153.
Thus, GCF of Fractions is 2/37153.Finally, GCF of Fractions for 6142/53, 9380/701 is 2/37153.