GCF of 34/322, 22/641, 258/531
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/322, 22/641, 258/531 i.e 2/109599462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/322, 22/641, 258/531.
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 34/322,22/641,258/531?
Given fractions are 34/322,22/641,258/531
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 34/322,22/641,258/531, numerators are 34,22,258
Denominators are 322,641,531
The GCF of 34,22,258 is 2 .
LCM of 322,641,531 is 109599462.
The greatest common factor of 34/322,22/641,258/531 = [GCF of 34,22,258]/[LCM of 322,641,531]= 2/109599462
Therefore, the GCF of 34/322,22/641,258/531 is 2/109599462.
To find the highest common factor of 34,22,258, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 22 are 1, 2, 11, 22
The factors of 258 are 1, 2, 3, 6, 43, 86, 129, 258
The HCF of 34,22,258 is 2.
Lets's calculate GCF of 34,22,258
| 2 | 34, 22, 258 |
| 17, 11, 129 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 34,22,258 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 22
:1,2,11,22
Now, list down the factors of 258
:1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 34,22,258 . The biggest common factor number is the GCF number.
So the greatest common factor 34,22,258 is 2.
Lets's calculate LCM of 322,641,531
Given numbers has no common factors except 1. So, there LCM is their product i.e 109599462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/109599462
Therefore, the GCF of Fractions 34/322,22/641,258/531 is 2/109599462
Least Common Multiple of 322,641,531 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 322,641,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,641,531) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(322,641,531) x common factors =1 x 1 = 1
LCM(322,641,531) = ( 322 × 641 × 531 ) / 1
LCM(322,641,531) = 109599462 / 1
LCM(322,641,531) = 109599462
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FAQs on GCF of Fractions of 34/322, 22/641, 258/531
1. What is the HCF of 34,22,258?
The HCF of 34,22,258 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 34/322, 22/641, 258/531?
Answer: GCF of Numerators as per given numbers 34/322, 22/641, 258/531 is
GCF of Numerators i.e. for 34,22,258 is 2
LCM of denominators i.e. for 322,641,531 is 109599462.
Thus, GCF of Fractions is 2/109599462.Finally, GCF of Fractions for 34/322, 22/641, 258/531 is 2/109599462.