Use our free GCF of Fractions Calculator tool to compute the GCF of 7736/157, 7336/2270 i.e 8/356390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7736/157, 7336/2270.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7736/157,7336/2270
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 7736/157,7336/2270, numerators are 7736,7336
Denominators are 157,2270
The GCF of 7736,7336 is 8 .
LCM of 157,2270 is 356390.
The greatest common factor of 7736/157,7336/2270 = [GCF of 7736,7336]/[LCM of 157,2270]= 8/356390
Therefore, the GCF of 7736/157,7336/2270 is 8/356390.
To find the highest common factor of 7736,7336, we have to find the factors of both numbers and list the highest common factor.
The factors of 7736 are 1, 2, 4, 8, 967, 1934, 3868, 7736
The factors of 7336 are 1, 2, 4, 7, 8, 14, 28, 56, 131, 262, 524, 917, 1048, 1834, 3668, 7336
The HCF of 7736,7336 is 8.
Lets's calculate GCF of 7736,7336
2 | 7736, 7336 |
2 | 3868, 3668 |
2 | 1934, 1834 |
967, 917 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 7736
:1,2,4,8,967,1934,3868,7736
Now, list down the factors of 7336
:1,2,4,7,8,14,28,56,131,262,524,917,1048,1834,3668,7336
Greatest Common Factor
We found the factors 7736,7336 . The biggest common factor number is the GCF number.
So the greatest common factor 7736,7336 is 8.
Lets's calculate LCM of 157,2270
Given numbers has no common factors except 1. So, there LCM is their product i.e 356390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/356390
Therefore, the GCF of Fractions 7736/157,7336/2270 is 8/356390
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 157,2270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,2270) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,2270) x common factors =1 x 1 = 1
LCM(157,2270) = ( 157 × 2270 ) / 1
LCM(157,2270) = 356390 / 1
LCM(157,2270) = 356390
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7736,7336?
The HCF of 7736,7336 is 8
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 7736/157, 7336/2270?
Answer: GCF of Numerators as per given numbers 7736/157, 7336/2270 is
GCF of Numerators i.e. for 7736,7336 is 8
LCM of denominators i.e. for 157,2270 is 356390.
Thus, GCF of Fractions is 8/356390.Finally, GCF of Fractions for 7736/157, 7336/2270 is 8/356390.