GCF of 5321/423, 7777/4590
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5321/423, 7777/4590 i.e 1/215730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5321/423, 7777/4590.
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 5321/423,7777/4590?
Given fractions are 5321/423,7777/4590
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 5321/423,7777/4590, numerators are 5321,7777
Denominators are 423,4590
The GCF of 5321,7777 is 1 .
LCM of 423,4590 is 215730.
The greatest common factor of 5321/423,7777/4590 = [GCF of 5321,7777]/[LCM of 423,4590]= 1/215730
Therefore, the GCF of 5321/423,7777/4590 is 1/215730.
To find the highest common factor of 5321,7777, we have to find the factors of both numbers and list the highest common factor.
The factors of 5321 are 1, 17, 313, 5321
The factors of 7777 are 1, 7, 11, 77, 101, 707, 1111, 7777
The HCF of 5321,7777 is 1.
Lets's calculate GCF of 5321,7777
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5321,7777 By Matching Biggest Common Factor Method
Now, list down the factors of 5321
:1,17,313,5321
Now, list down the factors of 7777
:1,7,11,77,101,707,1111,7777
Greatest Common Factor
We found the factors 5321,7777 . The biggest common factor number is the GCF number.
So the greatest common factor 5321,7777 is 1.
Lets's calculate LCM of 423,4590
| 3 | 423, 4590 |
| 3 | 141, 1530 |
| 47, 510 |
∴ So the LCM of the given numbers is 3 x 3 x 47 x 510 = 215730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/215730
Therefore, the GCF of Fractions 5321/423,7777/4590 is 1/215730
Least Common Multiple of 423,4590 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 423,4590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(423,4590) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(423,4590) x common factors =9 x 1 = 9
LCM(423,4590) = ( 423 × 4590 ) / 9
LCM(423,4590) = 1941570 / 9
LCM(423,4590) = 215730
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FAQs on GCF of Fractions of 5321/423, 7777/4590
1. What is the HCF of 5321,7777?
The HCF of 5321,7777 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 5321/423, 7777/4590?
Answer: GCF of Numerators as per given numbers 5321/423, 7777/4590 is
GCF of Numerators i.e. for 5321,7777 is 1
LCM of denominators i.e. for 423,4590 is 215730.
Thus, GCF of Fractions is 1/215730.Finally, GCF of Fractions for 5321/423, 7777/4590 is 1/215730.