Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/87,25/84,46/836,685/209
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 2,25,46,685
Greatest Common Factor of Numerators i.e. GCF of 2,25,46,685 is 1 .
LCM of Denominators means LCM of 87,84,836,209 as per the given fractions.
LCM of 87,84,836,209 is 509124 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,25,46,685
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Greatest Common Factor
We found the factors 2,25,46,685 . The biggest common factor number is the GCF number.
So the greatest common factor 2,25,46,685 is 1.
Lets's calculate LCM of 87,84,836,209
2 | 87, 84, 836, 209 |
2 | 87, 42, 418, 209 |
3 | 87, 21, 209, 209 |
11 | 29, 7, 209, 209 |
19 | 29, 7, 19, 19 |
29, 7, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 19 x 29 x 7 x 1 x 1 = 509124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/509124
Therefore, the GCF of Fractions 2/87,25/84,46/836,685/209 is 1/509124
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 87,84,836,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,84,836,209) = 1
common factors(in case of two or more numbers have common factors) = 2508
GCF(87,84,836,209) x common factors =1 x 2508 = 2508
LCM(87,84,836,209) = ( 87 × 84 × 836 × 209 ) / 2508
LCM(87,84,836,209) = 1276882992 / 2508
LCM(87,84,836,209) = 509124
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 2/87, 25/84, 46/836, 685/209?
Answer: GCF of Numerators as per given numbers 2/87, 25/84, 46/836, 685/209 is
GCF of Numerators i.e. for 2,25,46,685 is 1
LCM of denominators i.e. for 87,84,836,209 is 509124.
Thus, GCF of Fractions is 1/509124.Finally, GCF of Fractions for 2/87, 25/84, 46/836, 685/209 is 1/509124.