Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 952/41,882/78,358/901
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 952,882,358
Greatest Common Factor of Numerators i.e. GCF of 952,882,358 is 2 .
LCM of Denominators means LCM of 41,78,901 as per the given fractions.
LCM of 41,78,901 is 2881398 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 952,882,358
2 | 952, 882, 358 |
476, 441, 179 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Greatest Common Factor
We found the factors 952,882,358 . The biggest common factor number is the GCF number.
So the greatest common factor 952,882,358 is 2.
Lets's calculate LCM of 41,78,901
Given numbers has no common factors except 1. So, there LCM is their product i.e 2881398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2881398
Therefore, the GCF of Fractions 952/41,882/78,358/901 is 2/2881398
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 41,78,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,78,901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,78,901) x common factors =1 x 1 = 1
LCM(41,78,901) = ( 41 × 78 × 901 ) / 1
LCM(41,78,901) = 2881398 / 1
LCM(41,78,901) = 2881398
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 952/41, 882/78, 358/901?
Answer: GCF of Numerators as per given numbers 952/41, 882/78, 358/901 is
GCF of Numerators i.e. for 952,882,358 is 2
LCM of denominators i.e. for 41,78,901 is 2881398.
Thus, GCF of Fractions is 2/2881398.Finally, GCF of Fractions for 952/41, 882/78, 358/901 is 2/2881398.