GCF of 5633/725, 7017/577
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5633/725, 7017/577 i.e 1/418325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5633/725, 7017/577.
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 5633/725,7017/577?
Given fractions are 5633/725,7017/577
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 5633/725,7017/577, numerators are 5633,7017
Denominators are 725,577
The GCF of 5633,7017 is 1 .
LCM of 725,577 is 418325.
The greatest common factor of 5633/725,7017/577 = [GCF of 5633,7017]/[LCM of 725,577]= 1/418325
Therefore, the GCF of 5633/725,7017/577 is 1/418325.
To find the highest common factor of 5633,7017, we have to find the factors of both numbers and list the highest common factor.
The factors of 5633 are 1, 43, 131, 5633
The factors of 7017 are 1, 3, 2339, 7017
The HCF of 5633,7017 is 1.
Lets's calculate GCF of 5633,7017
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5633,7017 By Matching Biggest Common Factor Method
Now, list down the factors of 5633
:1,43,131,5633
Now, list down the factors of 7017
:1,3,2339,7017
Greatest Common Factor
We found the factors 5633,7017 . The biggest common factor number is the GCF number.
So the greatest common factor 5633,7017 is 1.
Lets's calculate LCM of 725,577
Given numbers has no common factors except 1. So, there LCM is their product i.e 418325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/418325
Therefore, the GCF of Fractions 5633/725,7017/577 is 1/418325
Least Common Multiple of 725,577 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 725,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(725,577) x common factors =1 x 1 = 1
LCM(725,577) = ( 725 × 577 ) / 1
LCM(725,577) = 418325 / 1
LCM(725,577) = 418325
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FAQs on GCF of Fractions of 5633/725, 7017/577
1. What is the HCF of 5633,7017?
The HCF of 5633,7017 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 5633/725, 7017/577?
Answer: GCF of Numerators as per given numbers 5633/725, 7017/577 is
GCF of Numerators i.e. for 5633,7017 is 1
LCM of denominators i.e. for 725,577 is 418325.
Thus, GCF of Fractions is 1/418325.Finally, GCF of Fractions for 5633/725, 7017/577 is 1/418325.