GCF of 32/688, 362/472, 194/466
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 32/688, 362/472, 194/466 i.e 2/9457936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 32/688, 362/472, 194/466.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 32/688,362/472,194/466?
Given fractions are 32/688,362/472,194/466
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 32/688,362/472,194/466, numerators are 32,362,194
Denominators are 688,472,466
The GCF of 32,362,194 is 2 .
LCM of 688,472,466 is 9457936.
The greatest common factor of 32/688,362/472,194/466 = [GCF of 32,362,194]/[LCM of 688,472,466]= 2/9457936
Therefore, the GCF of 32/688,362/472,194/466 is 2/9457936.
To find the highest common factor of 32,362,194, we have to find the factors of both numbers and list the highest common factor.
The factors of 32 are 1, 2, 4, 8, 16, 32
The factors of 362 are 1, 2, 181, 362
The factors of 194 are 1, 2, 97, 194
The HCF of 32,362,194 is 2.
Lets's calculate GCF of 32,362,194
| 2 | 32, 362, 194 |
| 16, 181, 97 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 32,362,194 By Matching Biggest Common Factor Method
Now, list down the factors of 32
:1,2,4,8,16,32
Now, list down the factors of 362
:1,2,181,362
Now, list down the factors of 194
:1,2,97,194
Greatest Common Factor
We found the factors 32,362,194 . The biggest common factor number is the GCF number.
So the greatest common factor 32,362,194 is 2.
Lets's calculate LCM of 688,472,466
| 2 | 688, 472, 466 |
| 2 | 344, 236, 233 |
| 2 | 172, 118, 233 |
| 86, 59, 233 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 86 x 59 x 233 = 9457936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9457936
Therefore, the GCF of Fractions 32/688,362/472,194/466 is 2/9457936
Least Common Multiple of 688,472,466 with GCF Formula
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 688,472,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,472,466) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(688,472,466) x common factors =2 x 8 = 16
LCM(688,472,466) = ( 688 × 472 × 466 ) / 16
LCM(688,472,466) = 151326976 / 16
LCM(688,472,466) = 9457936
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 32/688, 362/472, 194/466
1. What is the HCF of 32,362,194?
The HCF of 32,362,194 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 32/688, 362/472, 194/466?
Answer: GCF of Numerators as per given numbers 32/688, 362/472, 194/466 is
GCF of Numerators i.e. for 32,362,194 is 2
LCM of denominators i.e. for 688,472,466 is 9457936.
Thus, GCF of Fractions is 2/9457936.Finally, GCF of Fractions for 32/688, 362/472, 194/466 is 2/9457936.