Use our free GCF of Fractions Calculator tool to compute the GCF of 598/753, 705/838 i.e 1/631014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 598/753, 705/838.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 598/753,705/838
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 598/753,705/838, numerators are 598,705
Denominators are 753,838
The GCF of 598,705 is 1 .
LCM of 753,838 is 631014.
The greatest common factor of 598/753,705/838 = [GCF of 598,705]/[LCM of 753,838]= 1/631014
Therefore, the GCF of 598/753,705/838 is 1/631014.
To find the highest common factor of 598,705, we have to find the factors of both numbers and list the highest common factor.
The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598
The factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705
The HCF of 598,705 is 1.
Lets's calculate GCF of 598,705
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 598
:1,2,13,23,26,46,299,598
Now, list down the factors of 705
:1,3,5,15,47,141,235,705
Greatest Common Factor
We found the factors 598,705 . The biggest common factor number is the GCF number.
So the greatest common factor 598,705 is 1.
Lets's calculate LCM of 753,838
Given numbers has no common factors except 1. So, there LCM is their product i.e 631014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/631014
Therefore, the GCF of Fractions 598/753,705/838 is 1/631014
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 753,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(753,838) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(753,838) x common factors =1 x 1 = 1
LCM(753,838) = ( 753 × 838 ) / 1
LCM(753,838) = 631014 / 1
LCM(753,838) = 631014
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 598,705?
The HCF of 598,705 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 598/753, 705/838?
Answer: GCF of Numerators as per given numbers 598/753, 705/838 is
GCF of Numerators i.e. for 598,705 is 1
LCM of denominators i.e. for 753,838 is 631014.
Thus, GCF of Fractions is 1/631014.Finally, GCF of Fractions for 598/753, 705/838 is 1/631014.