Use our free GCF of Fractions Calculator tool to compute the GCF of 6716/496, 5504/7263 i.e 4/3602448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6716/496, 5504/7263.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6716/496,5504/7263
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 6716/496,5504/7263, numerators are 6716,5504
Denominators are 496,7263
The GCF of 6716,5504 is 4 .
LCM of 496,7263 is 3602448.
The greatest common factor of 6716/496,5504/7263 = [GCF of 6716,5504]/[LCM of 496,7263]= 4/3602448
Therefore, the GCF of 6716/496,5504/7263 is 4/3602448.
To find the highest common factor of 6716,5504, we have to find the factors of both numbers and list the highest common factor.
The factors of 6716 are 1, 2, 4, 23, 46, 73, 92, 146, 292, 1679, 3358, 6716
The factors of 5504 are 1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 344, 688, 1376, 2752, 5504
The HCF of 6716,5504 is 4.
Lets's calculate GCF of 6716,5504
2 | 6716, 5504 |
2 | 3358, 2752 |
1679, 1376 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 6716
:1,2,4,23,46,73,92,146,292,1679,3358,6716
Now, list down the factors of 5504
:1,2,4,8,16,32,43,64,86,128,172,344,688,1376,2752,5504
Greatest Common Factor
We found the factors 6716,5504 . The biggest common factor number is the GCF number.
So the greatest common factor 6716,5504 is 4.
Lets's calculate LCM of 496,7263
Given numbers has no common factors except 1. So, there LCM is their product i.e 3602448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3602448
Therefore, the GCF of Fractions 6716/496,5504/7263 is 4/3602448
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 496,7263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,7263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(496,7263) x common factors =1 x 1 = 1
LCM(496,7263) = ( 496 × 7263 ) / 1
LCM(496,7263) = 3602448 / 1
LCM(496,7263) = 3602448
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6716,5504?
The HCF of 6716,5504 is 4
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 6716/496, 5504/7263?
Answer: GCF of Numerators as per given numbers 6716/496, 5504/7263 is
GCF of Numerators i.e. for 6716,5504 is 4
LCM of denominators i.e. for 496,7263 is 3602448.
Thus, GCF of Fractions is 4/3602448.Finally, GCF of Fractions for 6716/496, 5504/7263 is 4/3602448.