Use our free GCF of Fractions Calculator tool to compute the GCF of 776/428, 7221/8516 i.e 1/911212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 776/428, 7221/8516.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 776/428,7221/8516
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 776/428,7221/8516, numerators are 776,7221
Denominators are 428,8516
The GCF of 776,7221 is 1 .
LCM of 428,8516 is 911212.
The greatest common factor of 776/428,7221/8516 = [GCF of 776,7221]/[LCM of 428,8516]= 1/911212
Therefore, the GCF of 776/428,7221/8516 is 1/911212.
To find the highest common factor of 776,7221, we have to find the factors of both numbers and list the highest common factor.
The factors of 776 are 1, 2, 4, 8, 97, 194, 388, 776
The factors of 7221 are 1, 3, 29, 83, 87, 249, 2407, 7221
The HCF of 776,7221 is 1.
Lets's calculate GCF of 776,7221
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 776
:1,2,4,8,97,194,388,776
Now, list down the factors of 7221
:1,3,29,83,87,249,2407,7221
Greatest Common Factor
We found the factors 776,7221 . The biggest common factor number is the GCF number.
So the greatest common factor 776,7221 is 1.
Lets's calculate LCM of 428,8516
2 | 428, 8516 |
2 | 214, 4258 |
107, 2129 |
∴ So the LCM of the given numbers is 2 x 2 x 107 x 2129 = 911212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/911212
Therefore, the GCF of Fractions 776/428,7221/8516 is 1/911212
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 428,8516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,8516) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(428,8516) x common factors =4 x 1 = 4
LCM(428,8516) = ( 428 × 8516 ) / 4
LCM(428,8516) = 3644848 / 4
LCM(428,8516) = 911212
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 776,7221?
The HCF of 776,7221 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 776/428, 7221/8516?
Answer: GCF of Numerators as per given numbers 776/428, 7221/8516 is
GCF of Numerators i.e. for 776,7221 is 1
LCM of denominators i.e. for 428,8516 is 911212.
Thus, GCF of Fractions is 1/911212.Finally, GCF of Fractions for 776/428, 7221/8516 is 1/911212.