GCF of 5847/839, 9114/1011
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5847/839, 9114/1011 i.e 3/848229 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5847/839, 9114/1011.
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 5847/839,9114/1011?
Given fractions are 5847/839,9114/1011
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 5847/839,9114/1011, numerators are 5847,9114
Denominators are 839,1011
The GCF of 5847,9114 is 3 .
LCM of 839,1011 is 848229.
The greatest common factor of 5847/839,9114/1011 = [GCF of 5847,9114]/[LCM of 839,1011]= 3/848229
Therefore, the GCF of 5847/839,9114/1011 is 3/848229.
To find the highest common factor of 5847,9114, we have to find the factors of both numbers and list the highest common factor.
The factors of 5847 are 1, 3, 1949, 5847
The factors of 9114 are 1, 2, 3, 6, 7, 14, 21, 31, 42, 49, 62, 93, 98, 147, 186, 217, 294, 434, 651, 1302, 1519, 3038, 4557, 9114
The HCF of 5847,9114 is 3.
Lets's calculate GCF of 5847,9114
| 3 | 5847, 9114 |
| 1949, 3038 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5847,9114 By Matching Biggest Common Factor Method
Now, list down the factors of 5847
:1,3,1949,5847
Now, list down the factors of 9114
:1,2,3,6,7,14,21,31,42,49,62,93,98,147,186,217,294,434,651,1302,1519,3038,4557,9114
Greatest Common Factor
We found the factors 5847,9114 . The biggest common factor number is the GCF number.
So the greatest common factor 5847,9114 is 3.
Lets's calculate LCM of 839,1011
Given numbers has no common factors except 1. So, there LCM is their product i.e 848229
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/848229
Therefore, the GCF of Fractions 5847/839,9114/1011 is 3/848229
Least Common Multiple of 839,1011 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 839,1011 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(839,1011) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(839,1011) x common factors =1 x 1 = 1
LCM(839,1011) = ( 839 × 1011 ) / 1
LCM(839,1011) = 848229 / 1
LCM(839,1011) = 848229
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FAQs on GCF of Fractions of 5847/839, 9114/1011
1. What is the HCF of 5847,9114?
The HCF of 5847,9114 is 3
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 5847/839, 9114/1011?
Answer: GCF of Numerators as per given numbers 5847/839, 9114/1011 is
GCF of Numerators i.e. for 5847,9114 is 3
LCM of denominators i.e. for 839,1011 is 848229.
Thus, GCF of Fractions is 3/848229.Finally, GCF of Fractions for 5847/839, 9114/1011 is 3/848229.