Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2962/747,8574/358
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 2962,8574
Greatest Common Factor of Numerators i.e. GCF of 2962,8574 is 2 .
LCM of Denominators means LCM of 747,358 as per the given fractions.
LCM of 747,358 is 267426 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2962,8574
2 | 2962, 8574 |
1481, 4287 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2962
List of positive integer factors of 2962 that divides 2962 without a remainder.
1,2,1481,2962
Factors of 8574
List of positive integer factors of 8574 that divides 8574 without a remainder.
1,2,3,6,1429,2858,4287,8574
Greatest Common Factor
We found the factors 2962,8574 . The biggest common factor number is the GCF number.
So the greatest common factor 2962,8574 is 2.
Lets's calculate LCM of 747,358
Given numbers has no common factors except 1. So, there LCM is their product i.e 267426
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/267426
Therefore, the GCF of Fractions 2962/747,8574/358 is 2/267426
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 747,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,358) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(747,358) x common factors =1 x 1 = 1
LCM(747,358) = ( 747 × 358 ) / 1
LCM(747,358) = 267426 / 1
LCM(747,358) = 267426
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 2962/747, 8574/358?
Answer: GCF of Numerators as per given numbers 2962/747, 8574/358 is
GCF of Numerators i.e. for 2962,8574 is 2
LCM of denominators i.e. for 747,358 is 267426.
Thus, GCF of Fractions is 2/267426.Finally, GCF of Fractions for 2962/747, 8574/358 is 2/267426.