Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 49/84,71/445,608/560
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 49,71,608
Greatest Common Factor of Numerators i.e. GCF of 49,71,608 is 1 .
LCM of Denominators means LCM of 84,445,560 as per the given fractions.
LCM of 84,445,560 is 149520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 49,71,608
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Greatest Common Factor
We found the factors 49,71,608 . The biggest common factor number is the GCF number.
So the greatest common factor 49,71,608 is 1.
Lets's calculate LCM of 84,445,560
2 | 84, 445, 560 |
2 | 42, 445, 280 |
5 | 21, 445, 140 |
7 | 21, 89, 28 |
3, 89, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 3 x 89 x 4 = 149520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149520
Therefore, the GCF of Fractions 49/84,71/445,608/560 is 1/149520
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 84,445,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,445,560) = 1
common factors(in case of two or more numbers have common factors) = 140
GCF(84,445,560) x common factors =1 x 140 = 140
LCM(84,445,560) = ( 84 × 445 × 560 ) / 140
LCM(84,445,560) = 20932800 / 140
LCM(84,445,560) = 149520
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 49/84, 71/445, 608/560?
Answer: GCF of Numerators as per given numbers 49/84, 71/445, 608/560 is
GCF of Numerators i.e. for 49,71,608 is 1
LCM of denominators i.e. for 84,445,560 is 149520.
Thus, GCF of Fractions is 1/149520.Finally, GCF of Fractions for 49/84, 71/445, 608/560 is 1/149520.