Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 754/20,698/63,290/114
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 754,698,290
Greatest Common Factor of Numerators i.e. GCF of 754,698,290 is 2 .
LCM of Denominators means LCM of 20,63,114 as per the given fractions.
LCM of 20,63,114 is 23940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 754,698,290
2 | 754, 698, 290 |
377, 349, 145 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 754,698,290 . The biggest common factor number is the GCF number.
So the greatest common factor 754,698,290 is 2.
Lets's calculate LCM of 20,63,114
2 | 20, 63, 114 |
3 | 10, 63, 57 |
10, 21, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 10 x 21 x 19 = 23940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23940
Therefore, the GCF of Fractions 754/20,698/63,290/114 is 2/23940
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 20,63,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,63,114) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(20,63,114) x common factors =1 x 6 = 6
LCM(20,63,114) = ( 20 × 63 × 114 ) / 6
LCM(20,63,114) = 143640 / 6
LCM(20,63,114) = 23940
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 754/20, 698/63, 290/114?
Answer: GCF of Numerators as per given numbers 754/20, 698/63, 290/114 is
GCF of Numerators i.e. for 754,698,290 is 2
LCM of denominators i.e. for 20,63,114 is 23940.
Thus, GCF of Fractions is 2/23940.Finally, GCF of Fractions for 754/20, 698/63, 290/114 is 2/23940.