GCF of 9818/607, 7761/1975
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9818/607, 7761/1975 i.e 1/1198825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9818/607, 7761/1975.
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 9818/607,7761/1975?
Given fractions are 9818/607,7761/1975
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 9818/607,7761/1975, numerators are 9818,7761
Denominators are 607,1975
The GCF of 9818,7761 is 1 .
LCM of 607,1975 is 1198825.
The greatest common factor of 9818/607,7761/1975 = [GCF of 9818,7761]/[LCM of 607,1975]= 1/1198825
Therefore, the GCF of 9818/607,7761/1975 is 1/1198825.
To find the highest common factor of 9818,7761, we have to find the factors of both numbers and list the highest common factor.
The factors of 9818 are 1, 2, 4909, 9818
The factors of 7761 are 1, 3, 13, 39, 199, 597, 2587, 7761
The HCF of 9818,7761 is 1.
Lets's calculate GCF of 9818,7761
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9818,7761 By Matching Biggest Common Factor Method
Now, list down the factors of 9818
:1,2,4909,9818
Now, list down the factors of 7761
:1,3,13,39,199,597,2587,7761
Greatest Common Factor
We found the factors 9818,7761 . The biggest common factor number is the GCF number.
So the greatest common factor 9818,7761 is 1.
Lets's calculate LCM of 607,1975
Given numbers has no common factors except 1. So, there LCM is their product i.e 1198825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1198825
Therefore, the GCF of Fractions 9818/607,7761/1975 is 1/1198825
Least Common Multiple of 607,1975 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 607,1975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(607,1975) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(607,1975) x common factors =1 x 1 = 1
LCM(607,1975) = ( 607 × 1975 ) / 1
LCM(607,1975) = 1198825 / 1
LCM(607,1975) = 1198825
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FAQs on GCF of Fractions of 9818/607, 7761/1975
1. What is the HCF of 9818,7761?
The HCF of 9818,7761 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 9818/607, 7761/1975?
Answer: GCF of Numerators as per given numbers 9818/607, 7761/1975 is
GCF of Numerators i.e. for 9818,7761 is 1
LCM of denominators i.e. for 607,1975 is 1198825.
Thus, GCF of Fractions is 1/1198825.Finally, GCF of Fractions for 9818/607, 7761/1975 is 1/1198825.