Use our free GCF of Fractions Calculator tool to compute the GCF of 745/881, 288/702 i.e 1/618462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 745/881, 288/702.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 745/881,288/702
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 745/881,288/702, numerators are 745,288
Denominators are 881,702
The GCF of 745,288 is 1 .
LCM of 881,702 is 618462.
The greatest common factor of 745/881,288/702 = [GCF of 745,288]/[LCM of 881,702]= 1/618462
Therefore, the GCF of 745/881,288/702 is 1/618462.
To find the highest common factor of 745,288, we have to find the factors of both numbers and list the highest common factor.
The factors of 745 are 1, 5, 149, 745
The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
The HCF of 745,288 is 1.
Lets's calculate GCF of 745,288
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 745
:1,5,149,745
Now, list down the factors of 288
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 745,288 . The biggest common factor number is the GCF number.
So the greatest common factor 745,288 is 1.
Lets's calculate LCM of 881,702
Given numbers has no common factors except 1. So, there LCM is their product i.e 618462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/618462
Therefore, the GCF of Fractions 745/881,288/702 is 1/618462
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 881,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(881,702) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(881,702) x common factors =1 x 1 = 1
LCM(881,702) = ( 881 × 702 ) / 1
LCM(881,702) = 618462 / 1
LCM(881,702) = 618462
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 745,288?
The HCF of 745,288 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 745/881, 288/702?
Answer: GCF of Numerators as per given numbers 745/881, 288/702 is
GCF of Numerators i.e. for 745,288 is 1
LCM of denominators i.e. for 881,702 is 618462.
Thus, GCF of Fractions is 1/618462.Finally, GCF of Fractions for 745/881, 288/702 is 1/618462.