Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 730/6828,156/6737
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 730,156
Greatest Common Factor of Numerators i.e. GCF of 730,156 is 2 .
LCM of Denominators means LCM of 6828,6737 as per the given fractions.
LCM of 6828,6737 is 46000236 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 730,156
2 | 730, 156 |
365, 78 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 730
List of positive integer factors of 730 that divides 730 without a remainder.
1,2,5,10,73,146,365,730
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Greatest Common Factor
We found the factors 730,156 . The biggest common factor number is the GCF number.
So the greatest common factor 730,156 is 2.
Lets's calculate LCM of 6828,6737
Given numbers has no common factors except 1. So, there LCM is their product i.e 46000236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/46000236
Therefore, the GCF of Fractions 730/6828,156/6737 is 2/46000236
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 6828,6737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6828,6737) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6828,6737) x common factors =1 x 1 = 1
LCM(6828,6737) = ( 6828 × 6737 ) / 1
LCM(6828,6737) = 46000236 / 1
LCM(6828,6737) = 46000236
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 730/6828, 156/6737?
Answer: GCF of Numerators as per given numbers 730/6828, 156/6737 is
GCF of Numerators i.e. for 730,156 is 2
LCM of denominators i.e. for 6828,6737 is 46000236.
Thus, GCF of Fractions is 2/46000236.Finally, GCF of Fractions for 730/6828, 156/6737 is 2/46000236.