Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 763/85,546/362
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 763,546
Greatest Common Factor of Numerators i.e. GCF of 763,546 is 7 .
LCM of Denominators means LCM of 85,362 as per the given fractions.
LCM of 85,362 is 30770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 763,546
7 | 763, 546 |
109, 78 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 763
List of positive integer factors of 763 that divides 763 without a remainder.
1,7,109,763
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 763,546 . The biggest common factor number is the GCF number.
So the greatest common factor 763,546 is 7.
Lets's calculate LCM of 85,362
Given numbers has no common factors except 1. So, there LCM is their product i.e 30770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/30770
Therefore, the GCF of Fractions 763/85,546/362 is 7/30770
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 85,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,362) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,362) x common factors =1 x 1 = 1
LCM(85,362) = ( 85 × 362 ) / 1
LCM(85,362) = 30770 / 1
LCM(85,362) = 30770
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 763/85, 546/362?
Answer: GCF of Numerators as per given numbers 763/85, 546/362 is
GCF of Numerators i.e. for 763,546 is 7
LCM of denominators i.e. for 85,362 is 30770.
Thus, GCF of Fractions is 7/30770.Finally, GCF of Fractions for 763/85, 546/362 is 7/30770.