GCF of 9823/958, 1114/5970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9823/958, 1114/5970 i.e 1/2859630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9823/958, 1114/5970.
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 9823/958,1114/5970?
Given fractions are 9823/958,1114/5970
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 9823/958,1114/5970, numerators are 9823,1114
Denominators are 958,5970
The GCF of 9823,1114 is 1 .
LCM of 958,5970 is 2859630.
The greatest common factor of 9823/958,1114/5970 = [GCF of 9823,1114]/[LCM of 958,5970]= 1/2859630
Therefore, the GCF of 9823/958,1114/5970 is 1/2859630.
To find the highest common factor of 9823,1114, we have to find the factors of both numbers and list the highest common factor.
The factors of 9823 are 1, 11, 19, 47, 209, 517, 893, 9823
The factors of 1114 are 1, 2, 557, 1114
The HCF of 9823,1114 is 1.
Lets's calculate GCF of 9823,1114
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9823,1114 By Matching Biggest Common Factor Method
Now, list down the factors of 9823
:1,11,19,47,209,517,893,9823
Now, list down the factors of 1114
:1,2,557,1114
Greatest Common Factor
We found the factors 9823,1114 . The biggest common factor number is the GCF number.
So the greatest common factor 9823,1114 is 1.
Lets's calculate LCM of 958,5970
| 2 | 958, 5970 |
| 479, 2985 |
∴ So the LCM of the given numbers is 2 x 479 x 2985 = 2859630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2859630
Therefore, the GCF of Fractions 9823/958,1114/5970 is 1/2859630
Least Common Multiple of 958,5970 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 958,5970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(958,5970) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(958,5970) x common factors =2 x 1 = 2
LCM(958,5970) = ( 958 × 5970 ) / 2
LCM(958,5970) = 5719260 / 2
LCM(958,5970) = 2859630
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FAQs on GCF of Fractions of 9823/958, 1114/5970
1. What is the HCF of 9823,1114?
The HCF of 9823,1114 is 1
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 9823/958, 1114/5970?
Answer: GCF of Numerators as per given numbers 9823/958, 1114/5970 is
GCF of Numerators i.e. for 9823,1114 is 1
LCM of denominators i.e. for 958,5970 is 2859630.
Thus, GCF of Fractions is 1/2859630.Finally, GCF of Fractions for 9823/958, 1114/5970 is 1/2859630.