GCF of 5723/506, 8077/7228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5723/506, 8077/7228 i.e 1/1828684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5723/506, 8077/7228.
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 5723/506,8077/7228?
Given fractions are 5723/506,8077/7228
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 5723/506,8077/7228, numerators are 5723,8077
Denominators are 506,7228
The GCF of 5723,8077 is 1 .
LCM of 506,7228 is 1828684.
The greatest common factor of 5723/506,8077/7228 = [GCF of 5723,8077]/[LCM of 506,7228]= 1/1828684
Therefore, the GCF of 5723/506,8077/7228 is 1/1828684.
To find the highest common factor of 5723,8077, we have to find the factors of both numbers and list the highest common factor.
The factors of 5723 are 1, 59, 97, 5723
The factors of 8077 are 1, 41, 197, 8077
The HCF of 5723,8077 is 1.
Lets's calculate GCF of 5723,8077
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5723,8077 By Matching Biggest Common Factor Method
Now, list down the factors of 5723
:1,59,97,5723
Now, list down the factors of 8077
:1,41,197,8077
Greatest Common Factor
We found the factors 5723,8077 . The biggest common factor number is the GCF number.
So the greatest common factor 5723,8077 is 1.
Lets's calculate LCM of 506,7228
| 2 | 506, 7228 |
| 253, 3614 |
∴ So the LCM of the given numbers is 2 x 253 x 3614 = 1828684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1828684
Therefore, the GCF of Fractions 5723/506,8077/7228 is 1/1828684
Least Common Multiple of 506,7228 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 506,7228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,7228) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(506,7228) x common factors =2 x 1 = 2
LCM(506,7228) = ( 506 × 7228 ) / 2
LCM(506,7228) = 3657368 / 2
LCM(506,7228) = 1828684
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FAQs on GCF of Fractions of 5723/506, 8077/7228
1. What is the HCF of 5723,8077?
The HCF of 5723,8077 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 5723/506, 8077/7228?
Answer: GCF of Numerators as per given numbers 5723/506, 8077/7228 is
GCF of Numerators i.e. for 5723,8077 is 1
LCM of denominators i.e. for 506,7228 is 1828684.
Thus, GCF of Fractions is 1/1828684.Finally, GCF of Fractions for 5723/506, 8077/7228 is 1/1828684.