Use our free GCF of Fractions Calculator tool to compute the GCF of 83/77, 402/71, 656/978 i.e 1/5346726 easily. The following is the detailed procedure to determine the greatest common factor of fractions 83/77, 402/71, 656/978.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/77,402/71,656/978
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 83/77,402/71,656/978, numerators are 83,402,656
Denominators are 77,71,978
The GCF of 83,402,656 is 1 .
LCM of 77,71,978 is 5346726.
The greatest common factor of 83/77,402/71,656/978 = [GCF of 83,402,656]/[LCM of 77,71,978]= 1/5346726
Therefore, the GCF of 83/77,402/71,656/978 is 1/5346726.
To find the highest common factor of 83,402,656, we have to find the factors of both numbers and list the highest common factor.
The factors of 83 are 1, 83
The factors of 402 are 1, 2, 3, 6, 67, 134, 201, 402
The factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
The HCF of 83,402,656 is 1.
Lets's calculate GCF of 83,402,656
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 83
:1,83
Now, list down the factors of 402
:1,2,3,6,67,134,201,402
Now, list down the factors of 656
:1,2,4,8,16,41,82,164,328,656
Greatest Common Factor
We found the factors 83,402,656 . The biggest common factor number is the GCF number.
So the greatest common factor 83,402,656 is 1.
Lets's calculate LCM of 77,71,978
Given numbers has no common factors except 1. So, there LCM is their product i.e 5346726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5346726
Therefore, the GCF of Fractions 83/77,402/71,656/978 is 1/5346726
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 77,71,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,71,978) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,71,978) x common factors =1 x 1 = 1
LCM(77,71,978) = ( 77 × 71 × 978 ) / 1
LCM(77,71,978) = 5346726 / 1
LCM(77,71,978) = 5346726
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 83,402,656?
The HCF of 83,402,656 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 83/77, 402/71, 656/978?
Answer: GCF of Numerators as per given numbers 83/77, 402/71, 656/978 is
GCF of Numerators i.e. for 83,402,656 is 1
LCM of denominators i.e. for 77,71,978 is 5346726.
Thus, GCF of Fractions is 1/5346726.Finally, GCF of Fractions for 83/77, 402/71, 656/978 is 1/5346726.