Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 376/97,670/137
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 376,670
Greatest Common Factor of Numerators i.e. GCF of 376,670 is 2 .
LCM of Denominators means LCM of 97,137 as per the given fractions.
LCM of 97,137 is 13289 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 376,670
2 | 376, 670 |
188, 335 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Greatest Common Factor
We found the factors 376,670 . The biggest common factor number is the GCF number.
So the greatest common factor 376,670 is 2.
Lets's calculate LCM of 97,137
Given numbers has no common factors except 1. So, there LCM is their product i.e 13289
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13289
Therefore, the GCF of Fractions 376/97,670/137 is 2/13289
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 97,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,137) x common factors =1 x 1 = 1
LCM(97,137) = ( 97 × 137 ) / 1
LCM(97,137) = 13289 / 1
LCM(97,137) = 13289
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 376/97, 670/137?
Answer: GCF of Numerators as per given numbers 376/97, 670/137 is
GCF of Numerators i.e. for 376,670 is 2
LCM of denominators i.e. for 97,137 is 13289.
Thus, GCF of Fractions is 2/13289.Finally, GCF of Fractions for 376/97, 670/137 is 2/13289.