Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7126/687,1534/692
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 7126,1534
Greatest Common Factor of Numerators i.e. GCF of 7126,1534 is 2 .
LCM of Denominators means LCM of 687,692 as per the given fractions.
LCM of 687,692 is 475404 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7126,1534
2 | 7126, 1534 |
3563, 767 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7126
List of positive integer factors of 7126 that divides 7126 without a remainder.
1,2,7,14,509,1018,3563,7126
Factors of 1534
List of positive integer factors of 1534 that divides 1534 without a remainder.
1,2,13,26,59,118,767,1534
Greatest Common Factor
We found the factors 7126,1534 . The biggest common factor number is the GCF number.
So the greatest common factor 7126,1534 is 2.
Lets's calculate LCM of 687,692
Given numbers has no common factors except 1. So, there LCM is their product i.e 475404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/475404
Therefore, the GCF of Fractions 7126/687,1534/692 is 2/475404
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 687,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,692) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(687,692) x common factors =1 x 1 = 1
LCM(687,692) = ( 687 × 692 ) / 1
LCM(687,692) = 475404 / 1
LCM(687,692) = 475404
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 7126/687, 1534/692?
Answer: GCF of Numerators as per given numbers 7126/687, 1534/692 is
GCF of Numerators i.e. for 7126,1534 is 2
LCM of denominators i.e. for 687,692 is 475404.
Thus, GCF of Fractions is 2/475404.Finally, GCF of Fractions for 7126/687, 1534/692 is 2/475404.