GCF of 9551/858, 9850/1418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9551/858, 9850/1418 i.e 1/608322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9551/858, 9850/1418.
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 9551/858,9850/1418?
Given fractions are 9551/858,9850/1418
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 9551/858,9850/1418, numerators are 9551,9850
Denominators are 858,1418
The GCF of 9551,9850 is 1 .
LCM of 858,1418 is 608322.
The greatest common factor of 9551/858,9850/1418 = [GCF of 9551,9850]/[LCM of 858,1418]= 1/608322
Therefore, the GCF of 9551/858,9850/1418 is 1/608322.
To find the highest common factor of 9551,9850, we have to find the factors of both numbers and list the highest common factor.
The factors of 9551 are 1, 9551
The factors of 9850 are 1, 2, 5, 10, 25, 50, 197, 394, 985, 1970, 4925, 9850
The HCF of 9551,9850 is 1.
Lets's calculate GCF of 9551,9850
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9551,9850 By Matching Biggest Common Factor Method
Now, list down the factors of 9551
:1,9551
Now, list down the factors of 9850
:1,2,5,10,25,50,197,394,985,1970,4925,9850
Greatest Common Factor
We found the factors 9551,9850 . The biggest common factor number is the GCF number.
So the greatest common factor 9551,9850 is 1.
Lets's calculate LCM of 858,1418
| 2 | 858, 1418 |
| 429, 709 |
∴ So the LCM of the given numbers is 2 x 429 x 709 = 608322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/608322
Therefore, the GCF of Fractions 9551/858,9850/1418 is 1/608322
Least Common Multiple of 858,1418 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 858,1418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(858,1418) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(858,1418) x common factors =2 x 1 = 2
LCM(858,1418) = ( 858 × 1418 ) / 2
LCM(858,1418) = 1216644 / 2
LCM(858,1418) = 608322
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FAQs on GCF of Fractions of 9551/858, 9850/1418
1. What is the HCF of 9551,9850?
The HCF of 9551,9850 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 9551/858, 9850/1418?
Answer: GCF of Numerators as per given numbers 9551/858, 9850/1418 is
GCF of Numerators i.e. for 9551,9850 is 1
LCM of denominators i.e. for 858,1418 is 608322.
Thus, GCF of Fractions is 1/608322.Finally, GCF of Fractions for 9551/858, 9850/1418 is 1/608322.