GCF of 8840/434, 5830/1983
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8840/434, 5830/1983 i.e 10/860622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8840/434, 5830/1983.
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 8840/434,5830/1983?
Given fractions are 8840/434,5830/1983
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 8840/434,5830/1983, numerators are 8840,5830
Denominators are 434,1983
The GCF of 8840,5830 is 10 .
LCM of 434,1983 is 860622.
The greatest common factor of 8840/434,5830/1983 = [GCF of 8840,5830]/[LCM of 434,1983]= 10/860622
Therefore, the GCF of 8840/434,5830/1983 is 10/860622.
To find the highest common factor of 8840,5830, we have to find the factors of both numbers and list the highest common factor.
The factors of 8840 are 1, 2, 4, 5, 8, 10, 13, 17, 20, 26, 34, 40, 52, 65, 68, 85, 104, 130, 136, 170, 221, 260, 340, 442, 520, 680, 884, 1105, 1768, 2210, 4420, 8840
The factors of 5830 are 1, 2, 5, 10, 11, 22, 53, 55, 106, 110, 265, 530, 583, 1166, 2915, 5830
The HCF of 8840,5830 is 10.
Lets's calculate GCF of 8840,5830
| 2 | 8840, 5830 |
| 5 | 4420, 2915 |
| 884, 583 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8840,5830 By Matching Biggest Common Factor Method
Now, list down the factors of 8840
:1,2,4,5,8,10,13,17,20,26,34,40,52,65,68,85,104,130,136,170,221,260,340,442,520,680,884,1105,1768,2210,4420,8840
Now, list down the factors of 5830
:1,2,5,10,11,22,53,55,106,110,265,530,583,1166,2915,5830
Greatest Common Factor
We found the factors 8840,5830 . The biggest common factor number is the GCF number.
So the greatest common factor 8840,5830 is 10.
Lets's calculate LCM of 434,1983
Given numbers has no common factors except 1. So, there LCM is their product i.e 860622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/860622
Therefore, the GCF of Fractions 8840/434,5830/1983 is 10/860622
Least Common Multiple of 434,1983 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 434,1983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,1983) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(434,1983) x common factors =1 x 1 = 1
LCM(434,1983) = ( 434 × 1983 ) / 1
LCM(434,1983) = 860622 / 1
LCM(434,1983) = 860622
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FAQs on GCF of Fractions of 8840/434, 5830/1983
1. What is the HCF of 8840,5830?
The HCF of 8840,5830 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 8840/434, 5830/1983?
Answer: GCF of Numerators as per given numbers 8840/434, 5830/1983 is
GCF of Numerators i.e. for 8840,5830 is 10
LCM of denominators i.e. for 434,1983 is 860622.
Thus, GCF of Fractions is 10/860622.Finally, GCF of Fractions for 8840/434, 5830/1983 is 10/860622.