Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 348/517,5970/700
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 348,5970
Greatest Common Factor of Numerators i.e. GCF of 348,5970 is 6 .
LCM of Denominators means LCM of 517,700 as per the given fractions.
LCM of 517,700 is 361900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 348,5970
2 | 348, 5970 |
3 | 174, 2985 |
58, 995 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Factors of 5970
List of positive integer factors of 5970 that divides 5970 without a remainder.
1,2,3,5,6,10,15,30,199,398,597,995,1194,1990,2985,5970
Greatest Common Factor
We found the factors 348,5970 . The biggest common factor number is the GCF number.
So the greatest common factor 348,5970 is 6.
Lets's calculate LCM of 517,700
Given numbers has no common factors except 1. So, there LCM is their product i.e 361900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/361900
Therefore, the GCF of Fractions 348/517,5970/700 is 6/361900
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 517,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,700) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(517,700) x common factors =1 x 1 = 1
LCM(517,700) = ( 517 × 700 ) / 1
LCM(517,700) = 361900 / 1
LCM(517,700) = 361900
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 348/517, 5970/700?
Answer: GCF of Numerators as per given numbers 348/517, 5970/700 is
GCF of Numerators i.e. for 348,5970 is 6
LCM of denominators i.e. for 517,700 is 361900.
Thus, GCF of Fractions is 6/361900.Finally, GCF of Fractions for 348/517, 5970/700 is 6/361900.