Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6875/79,1342/414
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 6875,1342
Greatest Common Factor of Numerators i.e. GCF of 6875,1342 is 11 .
LCM of Denominators means LCM of 79,414 as per the given fractions.
LCM of 79,414 is 32706 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6875,1342
11 | 6875, 1342 |
625, 122 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 6875
List of positive integer factors of 6875 that divides 6875 without a remainder.
1,5,11,25,55,125,275,625,1375,6875
Factors of 1342
List of positive integer factors of 1342 that divides 1342 without a remainder.
1,2,11,22,61,122,671,1342
Greatest Common Factor
We found the factors 6875,1342 . The biggest common factor number is the GCF number.
So the greatest common factor 6875,1342 is 11.
Lets's calculate LCM of 79,414
Given numbers has no common factors except 1. So, there LCM is their product i.e 32706
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/32706
Therefore, the GCF of Fractions 6875/79,1342/414 is 11/32706
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 79,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,414) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,414) x common factors =1 x 1 = 1
LCM(79,414) = ( 79 × 414 ) / 1
LCM(79,414) = 32706 / 1
LCM(79,414) = 32706
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 6875/79, 1342/414?
Answer: GCF of Numerators as per given numbers 6875/79, 1342/414 is
GCF of Numerators i.e. for 6875,1342 is 11
LCM of denominators i.e. for 79,414 is 32706.
Thus, GCF of Fractions is 11/32706.Finally, GCF of Fractions for 6875/79, 1342/414 is 11/32706.