Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 780/98,685/52,822/444
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 780,685,822
Greatest Common Factor of Numerators i.e. GCF of 780,685,822 is 1 .
LCM of Denominators means LCM of 98,52,444 as per the given fractions.
LCM of 98,52,444 is 282828 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 780,685,822
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 780,685,822 . The biggest common factor number is the GCF number.
So the greatest common factor 780,685,822 is 1.
Lets's calculate LCM of 98,52,444
2 | 98, 52, 444 |
2 | 49, 26, 222 |
49, 13, 111 |
∴ So the LCM of the given numbers is 2 x 2 x 49 x 13 x 111 = 282828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/282828
Therefore, the GCF of Fractions 780/98,685/52,822/444 is 1/282828
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 98,52,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,52,444) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(98,52,444) x common factors =2 x 4 = 8
LCM(98,52,444) = ( 98 × 52 × 444 ) / 8
LCM(98,52,444) = 2262624 / 8
LCM(98,52,444) = 282828
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 780/98, 685/52, 822/444?
Answer: GCF of Numerators as per given numbers 780/98, 685/52, 822/444 is
GCF of Numerators i.e. for 780,685,822 is 1
LCM of denominators i.e. for 98,52,444 is 282828.
Thus, GCF of Fractions is 1/282828.Finally, GCF of Fractions for 780/98, 685/52, 822/444 is 1/282828.