Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 680/51,985/88,889/177
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 680,985,889
Greatest Common Factor of Numerators i.e. GCF of 680,985,889 is 1 .
LCM of Denominators means LCM of 51,88,177 as per the given fractions.
LCM of 51,88,177 is 264792 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 680,985,889
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Factors of 889
List of positive integer factors of 889 that divides 889 without a remainder.
1,7,127,889
Greatest Common Factor
We found the factors 680,985,889 . The biggest common factor number is the GCF number.
So the greatest common factor 680,985,889 is 1.
Lets's calculate LCM of 51,88,177
3 | 51, 88, 177 |
17, 88, 59 |
∴ So the LCM of the given numbers is 3 x 17 x 88 x 59 = 264792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/264792
Therefore, the GCF of Fractions 680/51,985/88,889/177 is 1/264792
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 51,88,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,88,177) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(51,88,177) x common factors =1 x 3 = 3
LCM(51,88,177) = ( 51 × 88 × 177 ) / 3
LCM(51,88,177) = 794376 / 3
LCM(51,88,177) = 264792
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 680/51, 985/88, 889/177?
Answer: GCF of Numerators as per given numbers 680/51, 985/88, 889/177 is
GCF of Numerators i.e. for 680,985,889 is 1
LCM of denominators i.e. for 51,88,177 is 264792.
Thus, GCF of Fractions is 1/264792.Finally, GCF of Fractions for 680/51, 985/88, 889/177 is 1/264792.