Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/92,77/30,156/933
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 93,77,156
Greatest Common Factor of Numerators i.e. GCF of 93,77,156 is 1 .
LCM of Denominators means LCM of 92,30,933 as per the given fractions.
LCM of 92,30,933 is 429180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 93,77,156
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Greatest Common Factor
We found the factors 93,77,156 . The biggest common factor number is the GCF number.
So the greatest common factor 93,77,156 is 1.
Lets's calculate LCM of 92,30,933
2 | 92, 30, 933 |
3 | 46, 15, 933 |
46, 5, 311 |
∴ So the LCM of the given numbers is 2 x 3 x 46 x 5 x 311 = 429180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/429180
Therefore, the GCF of Fractions 93/92,77/30,156/933 is 1/429180
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 92,30,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,30,933) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(92,30,933) x common factors =1 x 6 = 6
LCM(92,30,933) = ( 92 × 30 × 933 ) / 6
LCM(92,30,933) = 2575080 / 6
LCM(92,30,933) = 429180
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 93/92, 77/30, 156/933?
Answer: GCF of Numerators as per given numbers 93/92, 77/30, 156/933 is
GCF of Numerators i.e. for 93,77,156 is 1
LCM of denominators i.e. for 92,30,933 is 429180.
Thus, GCF of Fractions is 1/429180.Finally, GCF of Fractions for 93/92, 77/30, 156/933 is 1/429180.