Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 182/435,7735/8324
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 182,7735
Greatest Common Factor of Numerators i.e. GCF of 182,7735 is 91 .
LCM of Denominators means LCM of 435,8324 as per the given fractions.
LCM of 435,8324 is 3620940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 182,7735
7 | 182, 7735 |
13 | 26, 1105 |
2, 85 |
∴ So the GCF of the given numbers is 7 x 13 = 91
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
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
Greatest Common Factor
We found the factors 182,7735 . The biggest common factor number is the GCF number.
So the greatest common factor 182,7735 is 91.
Lets's calculate LCM of 435,8324
Given numbers has no common factors except 1. So, there LCM is their product i.e 3620940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 91/3620940
Therefore, the GCF of Fractions 182/435,7735/8324 is 91/3620940
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 435,8324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,8324) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(435,8324) x common factors =1 x 1 = 1
LCM(435,8324) = ( 435 × 8324 ) / 1
LCM(435,8324) = 3620940 / 1
LCM(435,8324) = 3620940
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 182/435, 7735/8324?
Answer: GCF of Numerators as per given numbers 182/435, 7735/8324 is
GCF of Numerators i.e. for 182,7735 is 91
LCM of denominators i.e. for 435,8324 is 3620940.
Thus, GCF of Fractions is 91/3620940.Finally, GCF of Fractions for 182/435, 7735/8324 is 91/3620940.