GCF of 5920/749, 2110/605
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5920/749, 2110/605 i.e 10/453145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5920/749, 2110/605.
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 5920/749,2110/605?
Given fractions are 5920/749,2110/605
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 5920/749,2110/605, numerators are 5920,2110
Denominators are 749,605
The GCF of 5920,2110 is 10 .
LCM of 749,605 is 453145.
The greatest common factor of 5920/749,2110/605 = [GCF of 5920,2110]/[LCM of 749,605]= 10/453145
Therefore, the GCF of 5920/749,2110/605 is 10/453145.
To find the highest common factor of 5920,2110, we have to find the factors of both numbers and list the highest common factor.
The factors of 5920 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 74, 80, 148, 160, 185, 296, 370, 592, 740, 1184, 1480, 2960, 5920
The factors of 2110 are 1, 2, 5, 10, 211, 422, 1055, 2110
The HCF of 5920,2110 is 10.
Lets's calculate GCF of 5920,2110
| 2 | 5920, 2110 |
| 5 | 2960, 1055 |
| 592, 211 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 5920,2110 By Matching Biggest Common Factor Method
Now, list down the factors of 5920
:1,2,4,5,8,10,16,20,32,37,40,74,80,148,160,185,296,370,592,740,1184,1480,2960,5920
Now, list down the factors of 2110
:1,2,5,10,211,422,1055,2110
Greatest Common Factor
We found the factors 5920,2110 . The biggest common factor number is the GCF number.
So the greatest common factor 5920,2110 is 10.
Lets's calculate LCM of 749,605
Given numbers has no common factors except 1. So, there LCM is their product i.e 453145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/453145
Therefore, the GCF of Fractions 5920/749,2110/605 is 10/453145
Least Common Multiple of 749,605 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 749,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,605) x common factors =1 x 1 = 1
LCM(749,605) = ( 749 × 605 ) / 1
LCM(749,605) = 453145 / 1
LCM(749,605) = 453145
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FAQs on GCF of Fractions of 5920/749, 2110/605
1. What is the HCF of 5920,2110?
The HCF of 5920,2110 is 10
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 5920/749, 2110/605?
Answer: GCF of Numerators as per given numbers 5920/749, 2110/605 is
GCF of Numerators i.e. for 5920,2110 is 10
LCM of denominators i.e. for 749,605 is 453145.
Thus, GCF of Fractions is 10/453145.Finally, GCF of Fractions for 5920/749, 2110/605 is 10/453145.