GCF of 7555/504, 6729/407
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7555/504, 6729/407 i.e 1/205128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7555/504, 6729/407.
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 7555/504,6729/407?
Given fractions are 7555/504,6729/407
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 7555/504,6729/407, numerators are 7555,6729
Denominators are 504,407
The GCF of 7555,6729 is 1 .
LCM of 504,407 is 205128.
The greatest common factor of 7555/504,6729/407 = [GCF of 7555,6729]/[LCM of 504,407]= 1/205128
Therefore, the GCF of 7555/504,6729/407 is 1/205128.
To find the highest common factor of 7555,6729, we have to find the factors of both numbers and list the highest common factor.
The factors of 7555 are 1, 5, 1511, 7555
The factors of 6729 are 1, 3, 2243, 6729
The HCF of 7555,6729 is 1.
Lets's calculate GCF of 7555,6729
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7555,6729 By Matching Biggest Common Factor Method
Now, list down the factors of 7555
:1,5,1511,7555
Now, list down the factors of 6729
:1,3,2243,6729
Greatest Common Factor
We found the factors 7555,6729 . The biggest common factor number is the GCF number.
So the greatest common factor 7555,6729 is 1.
Lets's calculate LCM of 504,407
Given numbers has no common factors except 1. So, there LCM is their product i.e 205128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/205128
Therefore, the GCF of Fractions 7555/504,6729/407 is 1/205128
Least Common Multiple of 504,407 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 504,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(504,407) x common factors =1 x 1 = 1
LCM(504,407) = ( 504 × 407 ) / 1
LCM(504,407) = 205128 / 1
LCM(504,407) = 205128
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FAQs on GCF of Fractions of 7555/504, 6729/407
1. What is the HCF of 7555,6729?
The HCF of 7555,6729 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 7555/504, 6729/407?
Answer: GCF of Numerators as per given numbers 7555/504, 6729/407 is
GCF of Numerators i.e. for 7555,6729 is 1
LCM of denominators i.e. for 504,407 is 205128.
Thus, GCF of Fractions is 1/205128.Finally, GCF of Fractions for 7555/504, 6729/407 is 1/205128.