Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 884/82,170/7911
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 884,170
Greatest Common Factor of Numerators i.e. GCF of 884,170 is 34 .
LCM of Denominators means LCM of 82,7911 as per the given fractions.
LCM of 82,7911 is 648702 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 884,170
2 | 884, 170 |
17 | 442, 85 |
26, 5 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Factors of 170
List of positive integer factors of 170 that divides 170 without a remainder.
1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 884,170 . The biggest common factor number is the GCF number.
So the greatest common factor 884,170 is 34.
Lets's calculate LCM of 82,7911
Given numbers has no common factors except 1. So, there LCM is their product i.e 648702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/648702
Therefore, the GCF of Fractions 884/82,170/7911 is 34/648702
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 82,7911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,7911) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,7911) x common factors =1 x 1 = 1
LCM(82,7911) = ( 82 × 7911 ) / 1
LCM(82,7911) = 648702 / 1
LCM(82,7911) = 648702
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 884/82, 170/7911?
Answer: GCF of Numerators as per given numbers 884/82, 170/7911 is
GCF of Numerators i.e. for 884,170 is 34
LCM of denominators i.e. for 82,7911 is 648702.
Thus, GCF of Fractions is 34/648702.Finally, GCF of Fractions for 884/82, 170/7911 is 34/648702.