Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8532/197,1832/6110
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 8532,1832
Greatest Common Factor of Numerators i.e. GCF of 8532,1832 is 4 .
LCM of Denominators means LCM of 197,6110 as per the given fractions.
LCM of 197,6110 is 1203670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8532,1832
2 | 8532, 1832 |
2 | 4266, 916 |
2133, 458 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 8532
List of positive integer factors of 8532 that divides 8532 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,79,108,158,237,316,474,711,948,1422,2133,2844,4266,8532
Factors of 1832
List of positive integer factors of 1832 that divides 1832 without a remainder.
1,2,4,8,229,458,916,1832
Greatest Common Factor
We found the factors 8532,1832 . The biggest common factor number is the GCF number.
So the greatest common factor 8532,1832 is 4.
Lets's calculate LCM of 197,6110
Given numbers has no common factors except 1. So, there LCM is their product i.e 1203670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1203670
Therefore, the GCF of Fractions 8532/197,1832/6110 is 4/1203670
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 197,6110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,6110) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,6110) x common factors =1 x 1 = 1
LCM(197,6110) = ( 197 × 6110 ) / 1
LCM(197,6110) = 1203670 / 1
LCM(197,6110) = 1203670
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 8532/197, 1832/6110?
Answer: GCF of Numerators as per given numbers 8532/197, 1832/6110 is
GCF of Numerators i.e. for 8532,1832 is 4
LCM of denominators i.e. for 197,6110 is 1203670.
Thus, GCF of Fractions is 4/1203670.Finally, GCF of Fractions for 8532/197, 1832/6110 is 4/1203670.