Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 776/69,623/79,549/775
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 776,623,549
Greatest Common Factor of Numerators i.e. GCF of 776,623,549 is 1 .
LCM of Denominators means LCM of 69,79,775 as per the given fractions.
LCM of 69,79,775 is 4224525 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 776,623,549
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Factors of 623
List of positive integer factors of 623 that divides 623 without a remainder.
1,7,89,623
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Greatest Common Factor
We found the factors 776,623,549 . The biggest common factor number is the GCF number.
So the greatest common factor 776,623,549 is 1.
Lets's calculate LCM of 69,79,775
Given numbers has no common factors except 1. So, there LCM is their product i.e 4224525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4224525
Therefore, the GCF of Fractions 776/69,623/79,549/775 is 1/4224525
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 69,79,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,79,775) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,79,775) x common factors =1 x 1 = 1
LCM(69,79,775) = ( 69 × 79 × 775 ) / 1
LCM(69,79,775) = 4224525 / 1
LCM(69,79,775) = 4224525
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 776/69, 623/79, 549/775?
Answer: GCF of Numerators as per given numbers 776/69, 623/79, 549/775 is
GCF of Numerators i.e. for 776,623,549 is 1
LCM of denominators i.e. for 69,79,775 is 4224525.
Thus, GCF of Fractions is 1/4224525.Finally, GCF of Fractions for 776/69, 623/79, 549/775 is 1/4224525.