Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 899/884,696/567,844/186
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 899,696,844
Greatest Common Factor of Numerators i.e. GCF of 899,696,844 is 1 .
LCM of Denominators means LCM of 884,567,186 as per the given fractions.
LCM of 884,567,186 is 15538068 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 899,696,844
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Factors of 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
Greatest Common Factor
We found the factors 899,696,844 . The biggest common factor number is the GCF number.
So the greatest common factor 899,696,844 is 1.
Lets's calculate LCM of 884,567,186
2 | 884, 567, 186 |
3 | 442, 567, 93 |
442, 189, 31 |
∴ So the LCM of the given numbers is 2 x 3 x 442 x 189 x 31 = 15538068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15538068
Therefore, the GCF of Fractions 899/884,696/567,844/186 is 1/15538068
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 884,567,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,567,186) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(884,567,186) x common factors =1 x 6 = 6
LCM(884,567,186) = ( 884 × 567 × 186 ) / 6
LCM(884,567,186) = 93228408 / 6
LCM(884,567,186) = 15538068
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 899/884, 696/567, 844/186?
Answer: GCF of Numerators as per given numbers 899/884, 696/567, 844/186 is
GCF of Numerators i.e. for 899,696,844 is 1
LCM of denominators i.e. for 884,567,186 is 15538068.
Thus, GCF of Fractions is 1/15538068.Finally, GCF of Fractions for 899/884, 696/567, 844/186 is 1/15538068.