Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6417/840,1937/770
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 6417,1937
Greatest Common Factor of Numerators i.e. GCF of 6417,1937 is 1 .
LCM of Denominators means LCM of 840,770 as per the given fractions.
LCM of 840,770 is 9240 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6417,1937
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6417
List of positive integer factors of 6417 that divides 6417 without a remainder.
1,3,9,23,31,69,93,207,279,713,2139,6417
Factors of 1937
List of positive integer factors of 1937 that divides 1937 without a remainder.
1,13,149,1937
Greatest Common Factor
We found the factors 6417,1937 . The biggest common factor number is the GCF number.
So the greatest common factor 6417,1937 is 1.
Lets's calculate LCM of 840,770
2 | 840, 770 |
5 | 420, 385 |
7 | 84, 77 |
12, 11 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 12 x 11 = 9240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9240
Therefore, the GCF of Fractions 6417/840,1937/770 is 1/9240
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 840,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,770) = 70
common factors(in case of two or more numbers have common factors) = 1
GCF(840,770) x common factors =70 x 1 = 70
LCM(840,770) = ( 840 × 770 ) / 70
LCM(840,770) = 646800 / 70
LCM(840,770) = 9240
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 6417/840, 1937/770?
Answer: GCF of Numerators as per given numbers 6417/840, 1937/770 is
GCF of Numerators i.e. for 6417,1937 is 1
LCM of denominators i.e. for 840,770 is 9240.
Thus, GCF of Fractions is 1/9240.Finally, GCF of Fractions for 6417/840, 1937/770 is 1/9240.