Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3914/686,6764/715
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 3914,6764
Greatest Common Factor of Numerators i.e. GCF of 3914,6764 is 38 .
LCM of Denominators means LCM of 686,715 as per the given fractions.
LCM of 686,715 is 490490 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3914,6764
2 | 3914, 6764 |
19 | 1957, 3382 |
103, 178 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Factors of 3914
List of positive integer factors of 3914 that divides 3914 without a remainder.
1,2,19,38,103,206,1957,3914
Factors of 6764
List of positive integer factors of 6764 that divides 6764 without a remainder.
1,2,4,19,38,76,89,178,356,1691,3382,6764
Greatest Common Factor
We found the factors 3914,6764 . The biggest common factor number is the GCF number.
So the greatest common factor 3914,6764 is 38.
Lets's calculate LCM of 686,715
Given numbers has no common factors except 1. So, there LCM is their product i.e 490490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/490490
Therefore, the GCF of Fractions 3914/686,6764/715 is 38/490490
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 686,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,715) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(686,715) x common factors =1 x 1 = 1
LCM(686,715) = ( 686 × 715 ) / 1
LCM(686,715) = 490490 / 1
LCM(686,715) = 490490
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 3914/686, 6764/715?
Answer: GCF of Numerators as per given numbers 3914/686, 6764/715 is
GCF of Numerators i.e. for 3914,6764 is 38
LCM of denominators i.e. for 686,715 is 490490.
Thus, GCF of Fractions is 38/490490.Finally, GCF of Fractions for 3914/686, 6764/715 is 38/490490.