GCF of 326/32, 874/649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 326/32, 874/649 i.e 2/20768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 326/32, 874/649.
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 326/32,874/649?
Given fractions are 326/32,874/649
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 326/32,874/649, numerators are 326,874
Denominators are 32,649
The GCF of 326,874 is 2 .
LCM of 32,649 is 20768.
The greatest common factor of 326/32,874/649 = [GCF of 326,874]/[LCM of 32,649]= 2/20768
Therefore, the GCF of 326/32,874/649 is 2/20768.
To find the highest common factor of 326,874, we have to find the factors of both numbers and list the highest common factor.
The factors of 326 are 1, 2, 163, 326
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The HCF of 326,874 is 2.
Lets's calculate GCF of 326,874
| 2 | 326, 874 |
| 163, 437 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 326,874 By Matching Biggest Common Factor Method
Now, list down the factors of 326
:1,2,163,326
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 326,874 . The biggest common factor number is the GCF number.
So the greatest common factor 326,874 is 2.
Lets's calculate LCM of 32,649
Given numbers has no common factors except 1. So, there LCM is their product i.e 20768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20768
Therefore, the GCF of Fractions 326/32,874/649 is 2/20768
Least Common Multiple of 32,649 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 32,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,649) x common factors =1 x 1 = 1
LCM(32,649) = ( 32 × 649 ) / 1
LCM(32,649) = 20768 / 1
LCM(32,649) = 20768
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 326/32, 874/649
1. What is the HCF of 326,874?
The HCF of 326,874 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 326/32, 874/649?
Answer: GCF of Numerators as per given numbers 326/32, 874/649 is
GCF of Numerators i.e. for 326,874 is 2
LCM of denominators i.e. for 32,649 is 20768.
Thus, GCF of Fractions is 2/20768.Finally, GCF of Fractions for 326/32, 874/649 is 2/20768.