GCF of 7789/739, 7501/1657
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7789/739, 7501/1657 i.e 1/1224523 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7789/739, 7501/1657.
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 7789/739,7501/1657?
Given fractions are 7789/739,7501/1657
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 7789/739,7501/1657, numerators are 7789,7501
Denominators are 739,1657
The GCF of 7789,7501 is 1 .
LCM of 739,1657 is 1224523.
The greatest common factor of 7789/739,7501/1657 = [GCF of 7789,7501]/[LCM of 739,1657]= 1/1224523
Therefore, the GCF of 7789/739,7501/1657 is 1/1224523.
To find the highest common factor of 7789,7501, we have to find the factors of both numbers and list the highest common factor.
The factors of 7789 are 1, 7789
The factors of 7501 are 1, 13, 577, 7501
The HCF of 7789,7501 is 1.
Lets's calculate GCF of 7789,7501
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7789,7501 By Matching Biggest Common Factor Method
Now, list down the factors of 7789
:1,7789
Now, list down the factors of 7501
:1,13,577,7501
Greatest Common Factor
We found the factors 7789,7501 . The biggest common factor number is the GCF number.
So the greatest common factor 7789,7501 is 1.
Lets's calculate LCM of 739,1657
Given numbers has no common factors except 1. So, there LCM is their product i.e 1224523
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1224523
Therefore, the GCF of Fractions 7789/739,7501/1657 is 1/1224523
Least Common Multiple of 739,1657 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 739,1657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,1657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,1657) x common factors =1 x 1 = 1
LCM(739,1657) = ( 739 × 1657 ) / 1
LCM(739,1657) = 1224523 / 1
LCM(739,1657) = 1224523
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FAQs on GCF of Fractions of 7789/739, 7501/1657
1. What is the HCF of 7789,7501?
The HCF of 7789,7501 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 7789/739, 7501/1657?
Answer: GCF of Numerators as per given numbers 7789/739, 7501/1657 is
GCF of Numerators i.e. for 7789,7501 is 1
LCM of denominators i.e. for 739,1657 is 1224523.
Thus, GCF of Fractions is 1/1224523.Finally, GCF of Fractions for 7789/739, 7501/1657 is 1/1224523.