Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1622/607,4460/7034
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 1622,4460
Greatest Common Factor of Numerators i.e. GCF of 1622,4460 is 2 .
LCM of Denominators means LCM of 607,7034 as per the given fractions.
LCM of 607,7034 is 4269638 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1622,4460
2 | 1622, 4460 |
811, 2230 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1622
List of positive integer factors of 1622 that divides 1622 without a remainder.
1,2,811,1622
Factors of 4460
List of positive integer factors of 4460 that divides 4460 without a remainder.
1,2,4,5,10,20,223,446,892,1115,2230,4460
Greatest Common Factor
We found the factors 1622,4460 . The biggest common factor number is the GCF number.
So the greatest common factor 1622,4460 is 2.
Lets's calculate LCM of 607,7034
Given numbers has no common factors except 1. So, there LCM is their product i.e 4269638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4269638
Therefore, the GCF of Fractions 1622/607,4460/7034 is 2/4269638
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 607,7034 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(607,7034) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(607,7034) x common factors =1 x 1 = 1
LCM(607,7034) = ( 607 × 7034 ) / 1
LCM(607,7034) = 4269638 / 1
LCM(607,7034) = 4269638
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 1622/607, 4460/7034?
Answer: GCF of Numerators as per given numbers 1622/607, 4460/7034 is
GCF of Numerators i.e. for 1622,4460 is 2
LCM of denominators i.e. for 607,7034 is 4269638.
Thus, GCF of Fractions is 2/4269638.Finally, GCF of Fractions for 1622/607, 4460/7034 is 2/4269638.