Use our free GCF of Fractions Calculator tool to compute the GCF of 4416/725, 7979/6964 i.e 1/5048900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4416/725, 7979/6964.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4416/725,7979/6964
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 4416/725,7979/6964, numerators are 4416,7979
Denominators are 725,6964
The GCF of 4416,7979 is 1 .
LCM of 725,6964 is 5048900.
The greatest common factor of 4416/725,7979/6964 = [GCF of 4416,7979]/[LCM of 725,6964]= 1/5048900
Therefore, the GCF of 4416/725,7979/6964 is 1/5048900.
To find the highest common factor of 4416,7979, we have to find the factors of both numbers and list the highest common factor.
The factors of 4416 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 138, 184, 192, 276, 368, 552, 736, 1104, 1472, 2208, 4416
The factors of 7979 are 1, 79, 101, 7979
The HCF of 4416,7979 is 1.
Lets's calculate GCF of 4416,7979
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4416
:1,2,3,4,6,8,12,16,23,24,32,46,48,64,69,92,96,138,184,192,276,368,552,736,1104,1472,2208,4416
Now, list down the factors of 7979
:1,79,101,7979
Greatest Common Factor
We found the factors 4416,7979 . The biggest common factor number is the GCF number.
So the greatest common factor 4416,7979 is 1.
Lets's calculate LCM of 725,6964
Given numbers has no common factors except 1. So, there LCM is their product i.e 5048900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5048900
Therefore, the GCF of Fractions 4416/725,7979/6964 is 1/5048900
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 725,6964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,6964) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(725,6964) x common factors =1 x 1 = 1
LCM(725,6964) = ( 725 × 6964 ) / 1
LCM(725,6964) = 5048900 / 1
LCM(725,6964) = 5048900
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4416,7979?
The HCF of 4416,7979 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 4416/725, 7979/6964?
Answer: GCF of Numerators as per given numbers 4416/725, 7979/6964 is
GCF of Numerators i.e. for 4416,7979 is 1
LCM of denominators i.e. for 725,6964 is 5048900.
Thus, GCF of Fractions is 1/5048900.Finally, GCF of Fractions for 4416/725, 7979/6964 is 1/5048900.