Use our free GCF of Fractions Calculator tool to compute the GCF of 87/433, 880/731, 276/699 i.e 1/221249577 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/433, 880/731, 276/699.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/433,880/731,276/699
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 87/433,880/731,276/699, numerators are 87,880,276
Denominators are 433,731,699
The GCF of 87,880,276 is 1 .
LCM of 433,731,699 is 221249577.
The greatest common factor of 87/433,880/731,276/699 = [GCF of 87,880,276]/[LCM of 433,731,699]= 1/221249577
Therefore, the GCF of 87/433,880/731,276/699 is 1/221249577.
To find the highest common factor of 87,880,276, we have to find the factors of both numbers and list the highest common factor.
The factors of 87 are 1, 3, 29, 87
The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
The factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
The HCF of 87,880,276 is 1.
Lets's calculate GCF of 87,880,276
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 880
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Now, list down the factors of 276
:1,2,3,4,6,12,23,46,69,92,138,276
Greatest Common Factor
We found the factors 87,880,276 . The biggest common factor number is the GCF number.
So the greatest common factor 87,880,276 is 1.
Lets's calculate LCM of 433,731,699
Given numbers has no common factors except 1. So, there LCM is their product i.e 221249577
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221249577
Therefore, the GCF of Fractions 87/433,880/731,276/699 is 1/221249577
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 433,731,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,731,699) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(433,731,699) x common factors =1 x 1 = 1
LCM(433,731,699) = ( 433 × 731 × 699 ) / 1
LCM(433,731,699) = 221249577 / 1
LCM(433,731,699) = 221249577
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 87,880,276?
The HCF of 87,880,276 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 87/433, 880/731, 276/699?
Answer: GCF of Numerators as per given numbers 87/433, 880/731, 276/699 is
GCF of Numerators i.e. for 87,880,276 is 1
LCM of denominators i.e. for 433,731,699 is 221249577.
Thus, GCF of Fractions is 1/221249577.Finally, GCF of Fractions for 87/433, 880/731, 276/699 is 1/221249577.