Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7735/934,4880/3432
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 7735,4880
Greatest Common Factor of Numerators i.e. GCF of 7735,4880 is 5 .
LCM of Denominators means LCM of 934,3432 as per the given fractions.
LCM of 934,3432 is 1602744 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7735,4880
5 | 7735, 4880 |
1547, 976 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 7735
List of positive integer factors of 7735 that divides 7735 without a remainder.
1,5,7,13,17,35,65,85,91,119,221,455,595,1105,1547,7735
Factors of 4880
List of positive integer factors of 4880 that divides 4880 without a remainder.
1,2,4,5,8,10,16,20,40,61,80,122,244,305,488,610,976,1220,2440,4880
Greatest Common Factor
We found the factors 7735,4880 . The biggest common factor number is the GCF number.
So the greatest common factor 7735,4880 is 5.
Lets's calculate LCM of 934,3432
2 | 934, 3432 |
467, 1716 |
∴ So the LCM of the given numbers is 2 x 467 x 1716 = 1602744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1602744
Therefore, the GCF of Fractions 7735/934,4880/3432 is 5/1602744
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 934,3432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,3432) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(934,3432) x common factors =2 x 1 = 2
LCM(934,3432) = ( 934 × 3432 ) / 2
LCM(934,3432) = 3205488 / 2
LCM(934,3432) = 1602744
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 7735/934, 4880/3432?
Answer: GCF of Numerators as per given numbers 7735/934, 4880/3432 is
GCF of Numerators i.e. for 7735,4880 is 5
LCM of denominators i.e. for 934,3432 is 1602744.
Thus, GCF of Fractions is 5/1602744.Finally, GCF of Fractions for 7735/934, 4880/3432 is 5/1602744.