Use our free GCF of Fractions Calculator tool to compute the GCF of 77/32, 37/877, 406/262 i.e 1/3676384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/32, 37/877, 406/262.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 77/32,37/877,406/262
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 77/32,37/877,406/262, numerators are 77,37,406
Denominators are 32,877,262
The GCF of 77,37,406 is 1 .
LCM of 32,877,262 is 3676384.
The greatest common factor of 77/32,37/877,406/262 = [GCF of 77,37,406]/[LCM of 32,877,262]= 1/3676384
Therefore, the GCF of 77/32,37/877,406/262 is 1/3676384.
To find the highest common factor of 77,37,406, we have to find the factors of both numbers and list the highest common factor.
The factors of 77 are 1, 7, 11, 77
The factors of 37 are 1, 37
The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406
The HCF of 77,37,406 is 1.
Lets's calculate GCF of 77,37,406
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 77
:1,7,11,77
Now, list down the factors of 37
:1,37
Now, list down the factors of 406
:1,2,7,14,29,58,203,406
Greatest Common Factor
We found the factors 77,37,406 . The biggest common factor number is the GCF number.
So the greatest common factor 77,37,406 is 1.
Lets's calculate LCM of 32,877,262
2 | 32, 877, 262 |
16, 877, 131 |
∴ So the LCM of the given numbers is 2 x 16 x 877 x 131 = 3676384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3676384
Therefore, the GCF of Fractions 77/32,37/877,406/262 is 1/3676384
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 32,877,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,877,262) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(32,877,262) x common factors =1 x 2 = 2
LCM(32,877,262) = ( 32 × 877 × 262 ) / 2
LCM(32,877,262) = 7352768 / 2
LCM(32,877,262) = 3676384
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 77,37,406?
The HCF of 77,37,406 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 77/32, 37/877, 406/262?
Answer: GCF of Numerators as per given numbers 77/32, 37/877, 406/262 is
GCF of Numerators i.e. for 77,37,406 is 1
LCM of denominators i.e. for 32,877,262 is 3676384.
Thus, GCF of Fractions is 1/3676384.Finally, GCF of Fractions for 77/32, 37/877, 406/262 is 1/3676384.