GCF of 9601/378, 4602/1861
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9601/378, 4602/1861 i.e 1/703458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9601/378, 4602/1861.
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 9601/378,4602/1861?
Given fractions are 9601/378,4602/1861
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 9601/378,4602/1861, numerators are 9601,4602
Denominators are 378,1861
The GCF of 9601,4602 is 1 .
LCM of 378,1861 is 703458.
The greatest common factor of 9601/378,4602/1861 = [GCF of 9601,4602]/[LCM of 378,1861]= 1/703458
Therefore, the GCF of 9601/378,4602/1861 is 1/703458.
To find the highest common factor of 9601,4602, we have to find the factors of both numbers and list the highest common factor.
The factors of 9601 are 1, 9601
The factors of 4602 are 1, 2, 3, 6, 13, 26, 39, 59, 78, 118, 177, 354, 767, 1534, 2301, 4602
The HCF of 9601,4602 is 1.
Lets's calculate GCF of 9601,4602
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9601,4602 By Matching Biggest Common Factor Method
Now, list down the factors of 9601
:1,9601
Now, list down the factors of 4602
:1,2,3,6,13,26,39,59,78,118,177,354,767,1534,2301,4602
Greatest Common Factor
We found the factors 9601,4602 . The biggest common factor number is the GCF number.
So the greatest common factor 9601,4602 is 1.
Lets's calculate LCM of 378,1861
Given numbers has no common factors except 1. So, there LCM is their product i.e 703458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/703458
Therefore, the GCF of Fractions 9601/378,4602/1861 is 1/703458
Least Common Multiple of 378,1861 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 378,1861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,1861) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(378,1861) x common factors =1 x 1 = 1
LCM(378,1861) = ( 378 × 1861 ) / 1
LCM(378,1861) = 703458 / 1
LCM(378,1861) = 703458
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FAQs on GCF of Fractions of 9601/378, 4602/1861
1. What is the HCF of 9601,4602?
The HCF of 9601,4602 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 9601/378, 4602/1861?
Answer: GCF of Numerators as per given numbers 9601/378, 4602/1861 is
GCF of Numerators i.e. for 9601,4602 is 1
LCM of denominators i.e. for 378,1861 is 703458.
Thus, GCF of Fractions is 1/703458.Finally, GCF of Fractions for 9601/378, 4602/1861 is 1/703458.