Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 802/30,117/2076
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 802,117
Greatest Common Factor of Numerators i.e. GCF of 802,117 is 1 .
LCM of Denominators means LCM of 30,2076 as per the given fractions.
LCM of 30,2076 is 10380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 802,117
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
Factors of 117
List of positive integer factors of 117 that divides 117 without a remainder.
1,3,9,13,39,117
Greatest Common Factor
We found the factors 802,117 . The biggest common factor number is the GCF number.
So the greatest common factor 802,117 is 1.
Lets's calculate LCM of 30,2076
2 | 30, 2076 |
3 | 15, 1038 |
5, 346 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 346 = 10380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10380
Therefore, the GCF of Fractions 802/30,117/2076 is 1/10380
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 30,2076 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,2076) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(30,2076) x common factors =6 x 1 = 6
LCM(30,2076) = ( 30 × 2076 ) / 6
LCM(30,2076) = 62280 / 6
LCM(30,2076) = 10380
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 802/30, 117/2076?
Answer: GCF of Numerators as per given numbers 802/30, 117/2076 is
GCF of Numerators i.e. for 802,117 is 1
LCM of denominators i.e. for 30,2076 is 10380.
Thus, GCF of Fractions is 1/10380.Finally, GCF of Fractions for 802/30, 117/2076 is 1/10380.