GCF of 5614/830, 2834/9886
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5614/830, 2834/9886 i.e 2/4102690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5614/830, 2834/9886.
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 5614/830,2834/9886?
Given fractions are 5614/830,2834/9886
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 5614/830,2834/9886, numerators are 5614,2834
Denominators are 830,9886
The GCF of 5614,2834 is 2 .
LCM of 830,9886 is 4102690.
The greatest common factor of 5614/830,2834/9886 = [GCF of 5614,2834]/[LCM of 830,9886]= 2/4102690
Therefore, the GCF of 5614/830,2834/9886 is 2/4102690.
To find the highest common factor of 5614,2834, we have to find the factors of both numbers and list the highest common factor.
The factors of 5614 are 1, 2, 7, 14, 401, 802, 2807, 5614
The factors of 2834 are 1, 2, 13, 26, 109, 218, 1417, 2834
The HCF of 5614,2834 is 2.
Lets's calculate GCF of 5614,2834
| 2 | 5614, 2834 |
| 2807, 1417 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5614,2834 By Matching Biggest Common Factor Method
Now, list down the factors of 5614
:1,2,7,14,401,802,2807,5614
Now, list down the factors of 2834
:1,2,13,26,109,218,1417,2834
Greatest Common Factor
We found the factors 5614,2834 . The biggest common factor number is the GCF number.
So the greatest common factor 5614,2834 is 2.
Lets's calculate LCM of 830,9886
| 2 | 830, 9886 |
| 415, 4943 |
∴ So the LCM of the given numbers is 2 x 415 x 4943 = 4102690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4102690
Therefore, the GCF of Fractions 5614/830,2834/9886 is 2/4102690
Least Common Multiple of 830,9886 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 830,9886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(830,9886) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(830,9886) x common factors =2 x 1 = 2
LCM(830,9886) = ( 830 × 9886 ) / 2
LCM(830,9886) = 8205380 / 2
LCM(830,9886) = 4102690
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FAQs on GCF of Fractions of 5614/830, 2834/9886
1. What is the HCF of 5614,2834?
The HCF of 5614,2834 is 2
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 5614/830, 2834/9886?
Answer: GCF of Numerators as per given numbers 5614/830, 2834/9886 is
GCF of Numerators i.e. for 5614,2834 is 2
LCM of denominators i.e. for 830,9886 is 4102690.
Thus, GCF of Fractions is 2/4102690.Finally, GCF of Fractions for 5614/830, 2834/9886 is 2/4102690.