GCF of 69/381, 198/985, 901/361
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 69/381, 198/985, 901/361 i.e 1/135477885 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/381, 198/985, 901/361.
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 69/381,198/985,901/361?
Given fractions are 69/381,198/985,901/361
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 69/381,198/985,901/361, numerators are 69,198,901
Denominators are 381,985,361
The GCF of 69,198,901 is 1 .
LCM of 381,985,361 is 135477885.
The greatest common factor of 69/381,198/985,901/361 = [GCF of 69,198,901]/[LCM of 381,985,361]= 1/135477885
Therefore, the GCF of 69/381,198/985,901/361 is 1/135477885.
To find the highest common factor of 69,198,901, we have to find the factors of both numbers and list the highest common factor.
The factors of 69 are 1, 3, 23, 69
The factors of 198 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
The factors of 901 are 1, 17, 53, 901
The HCF of 69,198,901 is 1.
Lets's calculate GCF of 69,198,901
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 69,198,901 By Matching Biggest Common Factor Method
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 198
:1,2,3,6,9,11,18,22,33,66,99,198
Now, list down the factors of 901
:1,17,53,901
Greatest Common Factor
We found the factors 69,198,901 . The biggest common factor number is the GCF number.
So the greatest common factor 69,198,901 is 1.
Lets's calculate LCM of 381,985,361
Given numbers has no common factors except 1. So, there LCM is their product i.e 135477885
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135477885
Therefore, the GCF of Fractions 69/381,198/985,901/361 is 1/135477885
Least Common Multiple of 381,985,361 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 381,985,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,985,361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(381,985,361) x common factors =1 x 1 = 1
LCM(381,985,361) = ( 381 × 985 × 361 ) / 1
LCM(381,985,361) = 135477885 / 1
LCM(381,985,361) = 135477885
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FAQs on GCF of Fractions of 69/381, 198/985, 901/361
1. What is the HCF of 69,198,901?
The HCF of 69,198,901 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 69/381, 198/985, 901/361?
Answer: GCF of Numerators as per given numbers 69/381, 198/985, 901/361 is
GCF of Numerators i.e. for 69,198,901 is 1
LCM of denominators i.e. for 381,985,361 is 135477885.
Thus, GCF of Fractions is 1/135477885.Finally, GCF of Fractions for 69/381, 198/985, 901/361 is 1/135477885.