GCF of 719/506, 460/326
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 719/506, 460/326 i.e 1/82478 easily. The following is the detailed procedure to determine the greatest common factor of fractions 719/506, 460/326.
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 719/506,460/326?
Given fractions are 719/506,460/326
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 719/506,460/326, numerators are 719,460
Denominators are 506,326
The GCF of 719,460 is 1 .
LCM of 506,326 is 82478.
The greatest common factor of 719/506,460/326 = [GCF of 719,460]/[LCM of 506,326]= 1/82478
Therefore, the GCF of 719/506,460/326 is 1/82478.
To find the highest common factor of 719,460, we have to find the factors of both numbers and list the highest common factor.
The factors of 719 are 1, 719
The factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
The HCF of 719,460 is 1.
Lets's calculate GCF of 719,460
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 719,460 By Matching Biggest Common Factor Method
Now, list down the factors of 719
:1,719
Now, list down the factors of 460
:1,2,4,5,10,20,23,46,92,115,230,460
Greatest Common Factor
We found the factors 719,460 . The biggest common factor number is the GCF number.
So the greatest common factor 719,460 is 1.
Lets's calculate LCM of 506,326
| 2 | 506, 326 |
| 253, 163 |
∴ So the LCM of the given numbers is 2 x 253 x 163 = 82478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82478
Therefore, the GCF of Fractions 719/506,460/326 is 1/82478
Least Common Multiple of 506,326 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 506,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(506,326) x common factors =2 x 1 = 2
LCM(506,326) = ( 506 × 326 ) / 2
LCM(506,326) = 164956 / 2
LCM(506,326) = 82478
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FAQs on GCF of Fractions of 719/506, 460/326
1. What is the HCF of 719,460?
The HCF of 719,460 is 1
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 719/506, 460/326?
Answer: GCF of Numerators as per given numbers 719/506, 460/326 is
GCF of Numerators i.e. for 719,460 is 1
LCM of denominators i.e. for 506,326 is 82478.
Thus, GCF of Fractions is 1/82478.Finally, GCF of Fractions for 719/506, 460/326 is 1/82478.