Use our free GCF of Fractions Calculator tool to compute the GCF of 236/754, 470/704 i.e 2/265408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 236/754, 470/704.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 236/754,470/704
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 236/754,470/704, numerators are 236,470
Denominators are 754,704
The GCF of 236,470 is 2 .
LCM of 754,704 is 265408.
The greatest common factor of 236/754,470/704 = [GCF of 236,470]/[LCM of 754,704]= 2/265408
Therefore, the GCF of 236/754,470/704 is 2/265408.
To find the highest common factor of 236,470, we have to find the factors of both numbers and list the highest common factor.
The factors of 236 are 1, 2, 4, 59, 118, 236
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470
The HCF of 236,470 is 2.
Lets's calculate GCF of 236,470
2 | 236, 470 |
118, 235 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 236
:1,2,4,59,118,236
Now, list down the factors of 470
:1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 236,470 . The biggest common factor number is the GCF number.
So the greatest common factor 236,470 is 2.
Lets's calculate LCM of 754,704
2 | 754, 704 |
377, 352 |
∴ So the LCM of the given numbers is 2 x 377 x 352 = 265408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/265408
Therefore, the GCF of Fractions 236/754,470/704 is 2/265408
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 754,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,704) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(754,704) x common factors =2 x 1 = 2
LCM(754,704) = ( 754 × 704 ) / 2
LCM(754,704) = 530816 / 2
LCM(754,704) = 265408
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 236,470?
The HCF of 236,470 is 2
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 236/754, 470/704?
Answer: GCF of Numerators as per given numbers 236/754, 470/704 is
GCF of Numerators i.e. for 236,470 is 2
LCM of denominators i.e. for 754,704 is 265408.
Thus, GCF of Fractions is 2/265408.Finally, GCF of Fractions for 236/754, 470/704 is 2/265408.