GCF of 1840/616, 9010/9623
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1840/616, 9010/9623 i.e 10/5927768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1840/616, 9010/9623.
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 1840/616,9010/9623?
Given fractions are 1840/616,9010/9623
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 1840/616,9010/9623, numerators are 1840,9010
Denominators are 616,9623
The GCF of 1840,9010 is 10 .
LCM of 616,9623 is 5927768.
The greatest common factor of 1840/616,9010/9623 = [GCF of 1840,9010]/[LCM of 616,9623]= 10/5927768
Therefore, the GCF of 1840/616,9010/9623 is 10/5927768.
To find the highest common factor of 1840,9010, we have to find the factors of both numbers and list the highest common factor.
The factors of 1840 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840
The factors of 9010 are 1, 2, 5, 10, 17, 34, 53, 85, 106, 170, 265, 530, 901, 1802, 4505, 9010
The HCF of 1840,9010 is 10.
Lets's calculate GCF of 1840,9010
| 2 | 1840, 9010 |
| 5 | 920, 4505 |
| 184, 901 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 1840,9010 By Matching Biggest Common Factor Method
Now, list down the factors of 1840
:1,2,4,5,8,10,16,20,23,40,46,80,92,115,184,230,368,460,920,1840
Now, list down the factors of 9010
:1,2,5,10,17,34,53,85,106,170,265,530,901,1802,4505,9010
Greatest Common Factor
We found the factors 1840,9010 . The biggest common factor number is the GCF number.
So the greatest common factor 1840,9010 is 10.
Lets's calculate LCM of 616,9623
Given numbers has no common factors except 1. So, there LCM is their product i.e 5927768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/5927768
Therefore, the GCF of Fractions 1840/616,9010/9623 is 10/5927768
Least Common Multiple of 616,9623 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 616,9623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,9623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(616,9623) x common factors =1 x 1 = 1
LCM(616,9623) = ( 616 × 9623 ) / 1
LCM(616,9623) = 5927768 / 1
LCM(616,9623) = 5927768
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FAQs on GCF of Fractions of 1840/616, 9010/9623
1. What is the HCF of 1840,9010?
The HCF of 1840,9010 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 1840/616, 9010/9623?
Answer: GCF of Numerators as per given numbers 1840/616, 9010/9623 is
GCF of Numerators i.e. for 1840,9010 is 10
LCM of denominators i.e. for 616,9623 is 5927768.
Thus, GCF of Fractions is 10/5927768.Finally, GCF of Fractions for 1840/616, 9010/9623 is 10/5927768.