Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 551/728,680/592,707/897
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 551,680,707
Greatest Common Factor of Numerators i.e. GCF of 551,680,707 is 1 .
LCM of Denominators means LCM of 728,592,897 as per the given fractions.
LCM of 728,592,897 is 3717168 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 551,680,707
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 551
List of positive integer factors of 551 that divides 551 without a remainder.
1,19,29,551
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Greatest Common Factor
We found the factors 551,680,707 . The biggest common factor number is the GCF number.
So the greatest common factor 551,680,707 is 1.
Lets's calculate LCM of 728,592,897
2 | 728, 592, 897 |
2 | 364, 296, 897 |
2 | 182, 148, 897 |
13 | 91, 74, 897 |
7, 74, 69 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 7 x 74 x 69 = 3717168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3717168
Therefore, the GCF of Fractions 551/728,680/592,707/897 is 1/3717168
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 728,592,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,592,897) = 1
common factors(in case of two or more numbers have common factors) = 104
GCF(728,592,897) x common factors =1 x 104 = 104
LCM(728,592,897) = ( 728 × 592 × 897 ) / 104
LCM(728,592,897) = 386585472 / 104
LCM(728,592,897) = 3717168
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 551/728, 680/592, 707/897?
Answer: GCF of Numerators as per given numbers 551/728, 680/592, 707/897 is
GCF of Numerators i.e. for 551,680,707 is 1
LCM of denominators i.e. for 728,592,897 is 3717168.
Thus, GCF of Fractions is 1/3717168.Finally, GCF of Fractions for 551/728, 680/592, 707/897 is 1/3717168.