GCF of 9854/167, 4522/867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9854/167, 4522/867 i.e 2/144789 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9854/167, 4522/867.
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 9854/167,4522/867?
Given fractions are 9854/167,4522/867
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 9854/167,4522/867, numerators are 9854,4522
Denominators are 167,867
The GCF of 9854,4522 is 2 .
LCM of 167,867 is 144789.
The greatest common factor of 9854/167,4522/867 = [GCF of 9854,4522]/[LCM of 167,867]= 2/144789
Therefore, the GCF of 9854/167,4522/867 is 2/144789.
To find the highest common factor of 9854,4522, we have to find the factors of both numbers and list the highest common factor.
The factors of 9854 are 1, 2, 13, 26, 379, 758, 4927, 9854
The factors of 4522 are 1, 2, 7, 14, 17, 19, 34, 38, 119, 133, 238, 266, 323, 646, 2261, 4522
The HCF of 9854,4522 is 2.
Lets's calculate GCF of 9854,4522
| 2 | 9854, 4522 |
| 4927, 2261 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9854,4522 By Matching Biggest Common Factor Method
Now, list down the factors of 9854
:1,2,13,26,379,758,4927,9854
Now, list down the factors of 4522
:1,2,7,14,17,19,34,38,119,133,238,266,323,646,2261,4522
Greatest Common Factor
We found the factors 9854,4522 . The biggest common factor number is the GCF number.
So the greatest common factor 9854,4522 is 2.
Lets's calculate LCM of 167,867
Given numbers has no common factors except 1. So, there LCM is their product i.e 144789
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/144789
Therefore, the GCF of Fractions 9854/167,4522/867 is 2/144789
Least Common Multiple of 167,867 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 167,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(167,867) x common factors =1 x 1 = 1
LCM(167,867) = ( 167 × 867 ) / 1
LCM(167,867) = 144789 / 1
LCM(167,867) = 144789
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FAQs on GCF of Fractions of 9854/167, 4522/867
1. What is the HCF of 9854,4522?
The HCF of 9854,4522 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 9854/167, 4522/867?
Answer: GCF of Numerators as per given numbers 9854/167, 4522/867 is
GCF of Numerators i.e. for 9854,4522 is 2
LCM of denominators i.e. for 167,867 is 144789.
Thus, GCF of Fractions is 2/144789.Finally, GCF of Fractions for 9854/167, 4522/867 is 2/144789.