GCF of 7559/665, 8779/6558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7559/665, 8779/6558 i.e 1/4361070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7559/665, 8779/6558.
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 7559/665,8779/6558?
Given fractions are 7559/665,8779/6558
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 7559/665,8779/6558, numerators are 7559,8779
Denominators are 665,6558
The GCF of 7559,8779 is 1 .
LCM of 665,6558 is 4361070.
The greatest common factor of 7559/665,8779/6558 = [GCF of 7559,8779]/[LCM of 665,6558]= 1/4361070
Therefore, the GCF of 7559/665,8779/6558 is 1/4361070.
To find the highest common factor of 7559,8779, we have to find the factors of both numbers and list the highest common factor.
The factors of 7559 are 1, 7559
The factors of 8779 are 1, 8779
The HCF of 7559,8779 is 1.
Lets's calculate GCF of 7559,8779
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7559,8779 By Matching Biggest Common Factor Method
Now, list down the factors of 7559
:1,7559
Now, list down the factors of 8779
:1,8779
Greatest Common Factor
We found the factors 7559,8779 . The biggest common factor number is the GCF number.
So the greatest common factor 7559,8779 is 1.
Lets's calculate LCM of 665,6558
Given numbers has no common factors except 1. So, there LCM is their product i.e 4361070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4361070
Therefore, the GCF of Fractions 7559/665,8779/6558 is 1/4361070
Least Common Multiple of 665,6558 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 665,6558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,6558) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(665,6558) x common factors =1 x 1 = 1
LCM(665,6558) = ( 665 × 6558 ) / 1
LCM(665,6558) = 4361070 / 1
LCM(665,6558) = 4361070
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FAQs on GCF of Fractions of 7559/665, 8779/6558
1. What is the HCF of 7559,8779?
The HCF of 7559,8779 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 7559/665, 8779/6558?
Answer: GCF of Numerators as per given numbers 7559/665, 8779/6558 is
GCF of Numerators i.e. for 7559,8779 is 1
LCM of denominators i.e. for 665,6558 is 4361070.
Thus, GCF of Fractions is 1/4361070.Finally, GCF of Fractions for 7559/665, 8779/6558 is 1/4361070.