Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 932/97,178/96,826/869
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 932,178,826
Greatest Common Factor of Numerators i.e. GCF of 932,178,826 is 2 .
LCM of Denominators means LCM of 97,96,869 as per the given fractions.
LCM of 97,96,869 is 8092128 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 932,178,826
2 | 932, 178, 826 |
466, 89, 413 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1,2,4,233,466,932
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Greatest Common Factor
We found the factors 932,178,826 . The biggest common factor number is the GCF number.
So the greatest common factor 932,178,826 is 2.
Lets's calculate LCM of 97,96,869
Given numbers has no common factors except 1. So, there LCM is their product i.e 8092128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8092128
Therefore, the GCF of Fractions 932/97,178/96,826/869 is 2/8092128
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 97,96,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,96,869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,96,869) x common factors =1 x 1 = 1
LCM(97,96,869) = ( 97 × 96 × 869 ) / 1
LCM(97,96,869) = 8092128 / 1
LCM(97,96,869) = 8092128
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 932/97, 178/96, 826/869?
Answer: GCF of Numerators as per given numbers 932/97, 178/96, 826/869 is
GCF of Numerators i.e. for 932,178,826 is 2
LCM of denominators i.e. for 97,96,869 is 8092128.
Thus, GCF of Fractions is 2/8092128.Finally, GCF of Fractions for 932/97, 178/96, 826/869 is 2/8092128.