GCF of 9032/658, 1720/4262
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9032/658, 1720/4262 i.e 8/1402198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9032/658, 1720/4262.
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 9032/658,1720/4262?
Given fractions are 9032/658,1720/4262
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 9032/658,1720/4262, numerators are 9032,1720
Denominators are 658,4262
The GCF of 9032,1720 is 8 .
LCM of 658,4262 is 1402198.
The greatest common factor of 9032/658,1720/4262 = [GCF of 9032,1720]/[LCM of 658,4262]= 8/1402198
Therefore, the GCF of 9032/658,1720/4262 is 8/1402198.
To find the highest common factor of 9032,1720, we have to find the factors of both numbers and list the highest common factor.
The factors of 9032 are 1, 2, 4, 8, 1129, 2258, 4516, 9032
The factors of 1720 are 1, 2, 4, 5, 8, 10, 20, 40, 43, 86, 172, 215, 344, 430, 860, 1720
The HCF of 9032,1720 is 8.
Lets's calculate GCF of 9032,1720
| 2 | 9032, 1720 |
| 2 | 4516, 860 |
| 2 | 2258, 430 |
| 1129, 215 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 9032,1720 By Matching Biggest Common Factor Method
Now, list down the factors of 9032
:1,2,4,8,1129,2258,4516,9032
Now, list down the factors of 1720
:1,2,4,5,8,10,20,40,43,86,172,215,344,430,860,1720
Greatest Common Factor
We found the factors 9032,1720 . The biggest common factor number is the GCF number.
So the greatest common factor 9032,1720 is 8.
Lets's calculate LCM of 658,4262
| 2 | 658, 4262 |
| 329, 2131 |
∴ So the LCM of the given numbers is 2 x 329 x 2131 = 1402198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1402198
Therefore, the GCF of Fractions 9032/658,1720/4262 is 8/1402198
Least Common Multiple of 658,4262 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 658,4262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,4262) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(658,4262) x common factors =2 x 1 = 2
LCM(658,4262) = ( 658 × 4262 ) / 2
LCM(658,4262) = 2804396 / 2
LCM(658,4262) = 1402198
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FAQs on GCF of Fractions of 9032/658, 1720/4262
1. What is the HCF of 9032,1720?
The HCF of 9032,1720 is 8
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 9032/658, 1720/4262?
Answer: GCF of Numerators as per given numbers 9032/658, 1720/4262 is
GCF of Numerators i.e. for 9032,1720 is 8
LCM of denominators i.e. for 658,4262 is 1402198.
Thus, GCF of Fractions is 8/1402198.Finally, GCF of Fractions for 9032/658, 1720/4262 is 8/1402198.