Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 156/42,429/316
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 156,429
Greatest Common Factor of Numerators i.e. GCF of 156,429 is 39 .
LCM of Denominators means LCM of 42,316 as per the given fractions.
LCM of 42,316 is 6636 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 156,429
3 | 156, 429 |
13 | 52, 143 |
4, 11 |
∴ So the GCF of the given numbers is 3 x 13 = 39
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
Factors of 429
List of positive integer factors of 429 that divides 429 without a remainder.
1,3,11,13,33,39,143,429
Greatest Common Factor
We found the factors 156,429 . The biggest common factor number is the GCF number.
So the greatest common factor 156,429 is 39.
Lets's calculate LCM of 42,316
2 | 42, 316 |
21, 158 |
∴ So the LCM of the given numbers is 2 x 21 x 158 = 6636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/6636
Therefore, the GCF of Fractions 156/42,429/316 is 39/6636
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 42,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,316) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(42,316) x common factors =2 x 1 = 2
LCM(42,316) = ( 42 × 316 ) / 2
LCM(42,316) = 13272 / 2
LCM(42,316) = 6636
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 156/42, 429/316?
Answer: GCF of Numerators as per given numbers 156/42, 429/316 is
GCF of Numerators i.e. for 156,429 is 39
LCM of denominators i.e. for 42,316 is 6636.
Thus, GCF of Fractions is 39/6636.Finally, GCF of Fractions for 156/42, 429/316 is 39/6636.