GCF of 7601/739, 1990/823
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7601/739, 1990/823 i.e 1/608197 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7601/739, 1990/823.
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 7601/739,1990/823?
Given fractions are 7601/739,1990/823
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 7601/739,1990/823, numerators are 7601,1990
Denominators are 739,823
The GCF of 7601,1990 is 1 .
LCM of 739,823 is 608197.
The greatest common factor of 7601/739,1990/823 = [GCF of 7601,1990]/[LCM of 739,823]= 1/608197
Therefore, the GCF of 7601/739,1990/823 is 1/608197.
To find the highest common factor of 7601,1990, we have to find the factors of both numbers and list the highest common factor.
The factors of 7601 are 1, 11, 691, 7601
The factors of 1990 are 1, 2, 5, 10, 199, 398, 995, 1990
The HCF of 7601,1990 is 1.
Lets's calculate GCF of 7601,1990
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7601,1990 By Matching Biggest Common Factor Method
Now, list down the factors of 7601
:1,11,691,7601
Now, list down the factors of 1990
:1,2,5,10,199,398,995,1990
Greatest Common Factor
We found the factors 7601,1990 . The biggest common factor number is the GCF number.
So the greatest common factor 7601,1990 is 1.
Lets's calculate LCM of 739,823
Given numbers has no common factors except 1. So, there LCM is their product i.e 608197
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/608197
Therefore, the GCF of Fractions 7601/739,1990/823 is 1/608197
Least Common Multiple of 739,823 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 739,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,823) x common factors =1 x 1 = 1
LCM(739,823) = ( 739 × 823 ) / 1
LCM(739,823) = 608197 / 1
LCM(739,823) = 608197
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FAQs on GCF of Fractions of 7601/739, 1990/823
1. What is the HCF of 7601,1990?
The HCF of 7601,1990 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 7601/739, 1990/823?
Answer: GCF of Numerators as per given numbers 7601/739, 1990/823 is
GCF of Numerators i.e. for 7601,1990 is 1
LCM of denominators i.e. for 739,823 is 608197.
Thus, GCF of Fractions is 1/608197.Finally, GCF of Fractions for 7601/739, 1990/823 is 1/608197.