GCF of 920/406, 575/518
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 920/406, 575/518 i.e 115/15022 easily. The following is the detailed procedure to determine the greatest common factor of fractions 920/406, 575/518.
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 920/406,575/518?
Given fractions are 920/406,575/518
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 920/406,575/518, numerators are 920,575
Denominators are 406,518
The GCF of 920,575 is 115 .
LCM of 406,518 is 15022.
The greatest common factor of 920/406,575/518 = [GCF of 920,575]/[LCM of 406,518]= 115/15022
Therefore, the GCF of 920/406,575/518 is 115/15022.
To find the highest common factor of 920,575, we have to find the factors of both numbers and list the highest common factor.
The factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
The factors of 575 are 1, 5, 23, 25, 115, 575
The HCF of 920,575 is 115.
Lets's calculate GCF of 920,575
| 5 | 920, 575 |
| 23 | 184, 115 |
| 8, 5 |
∴ So the GCF of the given numbers is 5 x 23 = 115
Greatest Common Factor of 920,575 By Matching Biggest Common Factor Method
Now, list down the factors of 920
:1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Now, list down the factors of 575
:1,5,23,25,115,575
Greatest Common Factor
We found the factors 920,575 . The biggest common factor number is the GCF number.
So the greatest common factor 920,575 is 115.
Lets's calculate LCM of 406,518
| 2 | 406, 518 |
| 7 | 203, 259 |
| 29, 37 |
∴ So the LCM of the given numbers is 2 x 7 x 29 x 37 = 15022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 115/15022
Therefore, the GCF of Fractions 920/406,575/518 is 115/15022
Least Common Multiple of 406,518 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 406,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,518) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(406,518) x common factors =14 x 1 = 14
LCM(406,518) = ( 406 × 518 ) / 14
LCM(406,518) = 210308 / 14
LCM(406,518) = 15022
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FAQs on GCF of Fractions of 920/406, 575/518
1. What is the HCF of 920,575?
The HCF of 920,575 is 115
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 920/406, 575/518?
Answer: GCF of Numerators as per given numbers 920/406, 575/518 is
GCF of Numerators i.e. for 920,575 is 115
LCM of denominators i.e. for 406,518 is 15022.
Thus, GCF of Fractions is 115/15022.Finally, GCF of Fractions for 920/406, 575/518 is 115/15022.