GCF of 2663/469, 7058/7536
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2663/469, 7058/7536 i.e 1/3534384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2663/469, 7058/7536.
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 2663/469,7058/7536?
Given fractions are 2663/469,7058/7536
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 2663/469,7058/7536, numerators are 2663,7058
Denominators are 469,7536
The GCF of 2663,7058 is 1 .
LCM of 469,7536 is 3534384.
The greatest common factor of 2663/469,7058/7536 = [GCF of 2663,7058]/[LCM of 469,7536]= 1/3534384
Therefore, the GCF of 2663/469,7058/7536 is 1/3534384.
To find the highest common factor of 2663,7058, we have to find the factors of both numbers and list the highest common factor.
The factors of 2663 are 1, 2663
The factors of 7058 are 1, 2, 3529, 7058
The HCF of 2663,7058 is 1.
Lets's calculate GCF of 2663,7058
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2663,7058 By Matching Biggest Common Factor Method
Now, list down the factors of 2663
:1,2663
Now, list down the factors of 7058
:1,2,3529,7058
Greatest Common Factor
We found the factors 2663,7058 . The biggest common factor number is the GCF number.
So the greatest common factor 2663,7058 is 1.
Lets's calculate LCM of 469,7536
Given numbers has no common factors except 1. So, there LCM is their product i.e 3534384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3534384
Therefore, the GCF of Fractions 2663/469,7058/7536 is 1/3534384
Least Common Multiple of 469,7536 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 469,7536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,7536) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,7536) x common factors =1 x 1 = 1
LCM(469,7536) = ( 469 × 7536 ) / 1
LCM(469,7536) = 3534384 / 1
LCM(469,7536) = 3534384
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FAQs on GCF of Fractions of 2663/469, 7058/7536
1. What is the HCF of 2663,7058?
The HCF of 2663,7058 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 2663/469, 7058/7536?
Answer: GCF of Numerators as per given numbers 2663/469, 7058/7536 is
GCF of Numerators i.e. for 2663,7058 is 1
LCM of denominators i.e. for 469,7536 is 3534384.
Thus, GCF of Fractions is 1/3534384.Finally, GCF of Fractions for 2663/469, 7058/7536 is 1/3534384.