Use our free GCF of Fractions Calculator tool to compute the GCF of 95/739, 74/743, 698/410 i.e 1/225121570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/739, 74/743, 698/410.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/739,74/743,698/410
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 95/739,74/743,698/410, numerators are 95,74,698
Denominators are 739,743,410
The GCF of 95,74,698 is 1 .
LCM of 739,743,410 is 225121570.
The greatest common factor of 95/739,74/743,698/410 = [GCF of 95,74,698]/[LCM of 739,743,410]= 1/225121570
Therefore, the GCF of 95/739,74/743,698/410 is 1/225121570.
To find the highest common factor of 95,74,698, we have to find the factors of both numbers and list the highest common factor.
The factors of 95 are 1, 5, 19, 95
The factors of 74 are 1, 2, 37, 74
The factors of 698 are 1, 2, 349, 698
The HCF of 95,74,698 is 1.
Lets's calculate GCF of 95,74,698
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 74
:1,2,37,74
Now, list down the factors of 698
:1,2,349,698
Greatest Common Factor
We found the factors 95,74,698 . The biggest common factor number is the GCF number.
So the greatest common factor 95,74,698 is 1.
Lets's calculate LCM of 739,743,410
Given numbers has no common factors except 1. So, there LCM is their product i.e 225121570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/225121570
Therefore, the GCF of Fractions 95/739,74/743,698/410 is 1/225121570
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 739,743,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,743,410) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,743,410) x common factors =1 x 1 = 1
LCM(739,743,410) = ( 739 × 743 × 410 ) / 1
LCM(739,743,410) = 225121570 / 1
LCM(739,743,410) = 225121570
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 95,74,698?
The HCF of 95,74,698 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 95/739, 74/743, 698/410?
Answer: GCF of Numerators as per given numbers 95/739, 74/743, 698/410 is
GCF of Numerators i.e. for 95,74,698 is 1
LCM of denominators i.e. for 739,743,410 is 225121570.
Thus, GCF of Fractions is 1/225121570.Finally, GCF of Fractions for 95/739, 74/743, 698/410 is 1/225121570.