Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 798/756,696/121,671/280
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 798,696,671
Greatest Common Factor of Numerators i.e. GCF of 798,696,671 is 1 .
LCM of Denominators means LCM of 756,121,280 as per the given fractions.
LCM of 756,121,280 is 914760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 798,696,671
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Greatest Common Factor
We found the factors 798,696,671 . The biggest common factor number is the GCF number.
So the greatest common factor 798,696,671 is 1.
Lets's calculate LCM of 756,121,280
2 | 756, 121, 280 |
2 | 378, 121, 140 |
7 | 189, 121, 70 |
27, 121, 10 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 27 x 121 x 10 = 914760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/914760
Therefore, the GCF of Fractions 798/756,696/121,671/280 is 1/914760
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 756,121,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,121,280) = 1
common factors(in case of two or more numbers have common factors) = 28
GCF(756,121,280) x common factors =1 x 28 = 28
LCM(756,121,280) = ( 756 × 121 × 280 ) / 28
LCM(756,121,280) = 25613280 / 28
LCM(756,121,280) = 914760
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 798/756, 696/121, 671/280?
Answer: GCF of Numerators as per given numbers 798/756, 696/121, 671/280 is
GCF of Numerators i.e. for 798,696,671 is 1
LCM of denominators i.e. for 756,121,280 is 914760.
Thus, GCF of Fractions is 1/914760.Finally, GCF of Fractions for 798/756, 696/121, 671/280 is 1/914760.