GCF of 926/160, 594/322
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 926/160, 594/322 i.e 2/25760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 926/160, 594/322.
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 926/160,594/322?
Given fractions are 926/160,594/322
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 926/160,594/322, numerators are 926,594
Denominators are 160,322
The GCF of 926,594 is 2 .
LCM of 160,322 is 25760.
The greatest common factor of 926/160,594/322 = [GCF of 926,594]/[LCM of 160,322]= 2/25760
Therefore, the GCF of 926/160,594/322 is 2/25760.
To find the highest common factor of 926,594, we have to find the factors of both numbers and list the highest common factor.
The factors of 926 are 1, 2, 463, 926
The factors of 594 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
The HCF of 926,594 is 2.
Lets's calculate GCF of 926,594
| 2 | 926, 594 |
| 463, 297 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 926,594 By Matching Biggest Common Factor Method
Now, list down the factors of 926
:1,2,463,926
Now, list down the factors of 594
:1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Greatest Common Factor
We found the factors 926,594 . The biggest common factor number is the GCF number.
So the greatest common factor 926,594 is 2.
Lets's calculate LCM of 160,322
| 2 | 160, 322 |
| 80, 161 |
∴ So the LCM of the given numbers is 2 x 80 x 161 = 25760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25760
Therefore, the GCF of Fractions 926/160,594/322 is 2/25760
Least Common Multiple of 160,322 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 160,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,322) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(160,322) x common factors =2 x 1 = 2
LCM(160,322) = ( 160 × 322 ) / 2
LCM(160,322) = 51520 / 2
LCM(160,322) = 25760
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FAQs on GCF of Fractions of 926/160, 594/322
1. What is the HCF of 926,594?
The HCF of 926,594 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 926/160, 594/322?
Answer: GCF of Numerators as per given numbers 926/160, 594/322 is
GCF of Numerators i.e. for 926,594 is 2
LCM of denominators i.e. for 160,322 is 25760.
Thus, GCF of Fractions is 2/25760.Finally, GCF of Fractions for 926/160, 594/322 is 2/25760.