Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 955/1476,140/5341
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 955,140
Greatest Common Factor of Numerators i.e. GCF of 955,140 is 5 .
LCM of Denominators means LCM of 1476,5341 as per the given fractions.
LCM of 1476,5341 is 7883316 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 955,140
5 | 955, 140 |
191, 28 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Greatest Common Factor
We found the factors 955,140 . The biggest common factor number is the GCF number.
So the greatest common factor 955,140 is 5.
Lets's calculate LCM of 1476,5341
Given numbers has no common factors except 1. So, there LCM is their product i.e 7883316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/7883316
Therefore, the GCF of Fractions 955/1476,140/5341 is 5/7883316
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 1476,5341 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1476,5341) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1476,5341) x common factors =1 x 1 = 1
LCM(1476,5341) = ( 1476 × 5341 ) / 1
LCM(1476,5341) = 7883316 / 1
LCM(1476,5341) = 7883316
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 955/1476, 140/5341?
Answer: GCF of Numerators as per given numbers 955/1476, 140/5341 is
GCF of Numerators i.e. for 955,140 is 5
LCM of denominators i.e. for 1476,5341 is 7883316.
Thus, GCF of Fractions is 5/7883316.Finally, GCF of Fractions for 955/1476, 140/5341 is 5/7883316.