Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6766/440,2922/700
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 6766,2922
Greatest Common Factor of Numerators i.e. GCF of 6766,2922 is 2 .
LCM of Denominators means LCM of 440,700 as per the given fractions.
LCM of 440,700 is 15400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6766,2922
2 | 6766, 2922 |
3383, 1461 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6766
List of positive integer factors of 6766 that divides 6766 without a remainder.
1,2,17,34,199,398,3383,6766
Factors of 2922
List of positive integer factors of 2922 that divides 2922 without a remainder.
1,2,3,6,487,974,1461,2922
Greatest Common Factor
We found the factors 6766,2922 . The biggest common factor number is the GCF number.
So the greatest common factor 6766,2922 is 2.
Lets's calculate LCM of 440,700
2 | 440, 700 |
2 | 220, 350 |
5 | 110, 175 |
22, 35 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 22 x 35 = 15400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15400
Therefore, the GCF of Fractions 6766/440,2922/700 is 2/15400
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 440,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,700) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(440,700) x common factors =20 x 1 = 20
LCM(440,700) = ( 440 × 700 ) / 20
LCM(440,700) = 308000 / 20
LCM(440,700) = 15400
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 6766/440, 2922/700?
Answer: GCF of Numerators as per given numbers 6766/440, 2922/700 is
GCF of Numerators i.e. for 6766,2922 is 2
LCM of denominators i.e. for 440,700 is 15400.
Thus, GCF of Fractions is 2/15400.Finally, GCF of Fractions for 6766/440, 2922/700 is 2/15400.