Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 746/64,906/8548
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 746,906
Greatest Common Factor of Numerators i.e. GCF of 746,906 is 2 .
LCM of Denominators means LCM of 64,8548 as per the given fractions.
LCM of 64,8548 is 136768 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 746,906
2 | 746, 906 |
373, 453 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 746
List of positive integer factors of 746 that divides 746 without a remainder.
1,2,373,746
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Greatest Common Factor
We found the factors 746,906 . The biggest common factor number is the GCF number.
So the greatest common factor 746,906 is 2.
Lets's calculate LCM of 64,8548
2 | 64, 8548 |
2 | 32, 4274 |
16, 2137 |
∴ So the LCM of the given numbers is 2 x 2 x 16 x 2137 = 136768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/136768
Therefore, the GCF of Fractions 746/64,906/8548 is 2/136768
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 64,8548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,8548) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(64,8548) x common factors =4 x 1 = 4
LCM(64,8548) = ( 64 × 8548 ) / 4
LCM(64,8548) = 547072 / 4
LCM(64,8548) = 136768
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 746/64, 906/8548?
Answer: GCF of Numerators as per given numbers 746/64, 906/8548 is
GCF of Numerators i.e. for 746,906 is 2
LCM of denominators i.e. for 64,8548 is 136768.
Thus, GCF of Fractions is 2/136768.Finally, GCF of Fractions for 746/64, 906/8548 is 2/136768.