Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 776/701,686/171,328/348
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 776,686,328
Greatest Common Factor of Numerators i.e. GCF of 776,686,328 is 2 .
LCM of Denominators means LCM of 701,171,348 as per the given fractions.
LCM of 701,171,348 is 13905036 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 776,686,328
2 | 776, 686, 328 |
388, 343, 164 |
∴ So the GCF of the given numbers is 2 = 2
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 686
List of positive integer factors of 686 that divides 686 without a remainder.
1,2,7,14,49,98,343,686
Factors of 328
List of positive integer factors of 328 that divides 328 without a remainder.
1,2,4,8,41,82,164,328
Greatest Common Factor
We found the factors 776,686,328 . The biggest common factor number is the GCF number.
So the greatest common factor 776,686,328 is 2.
Lets's calculate LCM of 701,171,348
3 | 701, 171, 348 |
701, 57, 116 |
∴ So the LCM of the given numbers is 3 x 701 x 57 x 116 = 13905036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13905036
Therefore, the GCF of Fractions 776/701,686/171,328/348 is 2/13905036
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 701,171,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,171,348) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(701,171,348) x common factors =1 x 3 = 3
LCM(701,171,348) = ( 701 × 171 × 348 ) / 3
LCM(701,171,348) = 41715108 / 3
LCM(701,171,348) = 13905036
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 776/701, 686/171, 328/348?
Answer: GCF of Numerators as per given numbers 776/701, 686/171, 328/348 is
GCF of Numerators i.e. for 776,686,328 is 2
LCM of denominators i.e. for 701,171,348 is 13905036.
Thus, GCF of Fractions is 2/13905036.Finally, GCF of Fractions for 776/701, 686/171, 328/348 is 2/13905036.