GCF of 7729/408, 5998/5651
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7729/408, 5998/5651 i.e 1/2305608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7729/408, 5998/5651.
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 7729/408,5998/5651?
Given fractions are 7729/408,5998/5651
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 7729/408,5998/5651, numerators are 7729,5998
Denominators are 408,5651
The GCF of 7729,5998 is 1 .
LCM of 408,5651 is 2305608.
The greatest common factor of 7729/408,5998/5651 = [GCF of 7729,5998]/[LCM of 408,5651]= 1/2305608
Therefore, the GCF of 7729/408,5998/5651 is 1/2305608.
To find the highest common factor of 7729,5998, we have to find the factors of both numbers and list the highest common factor.
The factors of 7729 are 1, 59, 131, 7729
The factors of 5998 are 1, 2, 2999, 5998
The HCF of 7729,5998 is 1.
Lets's calculate GCF of 7729,5998
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7729,5998 By Matching Biggest Common Factor Method
Now, list down the factors of 7729
:1,59,131,7729
Now, list down the factors of 5998
:1,2,2999,5998
Greatest Common Factor
We found the factors 7729,5998 . The biggest common factor number is the GCF number.
So the greatest common factor 7729,5998 is 1.
Lets's calculate LCM of 408,5651
Given numbers has no common factors except 1. So, there LCM is their product i.e 2305608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2305608
Therefore, the GCF of Fractions 7729/408,5998/5651 is 1/2305608
Least Common Multiple of 408,5651 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 408,5651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,5651) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(408,5651) x common factors =1 x 1 = 1
LCM(408,5651) = ( 408 × 5651 ) / 1
LCM(408,5651) = 2305608 / 1
LCM(408,5651) = 2305608
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FAQs on GCF of Fractions of 7729/408, 5998/5651
1. What is the HCF of 7729,5998?
The HCF of 7729,5998 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 7729/408, 5998/5651?
Answer: GCF of Numerators as per given numbers 7729/408, 5998/5651 is
GCF of Numerators i.e. for 7729,5998 is 1
LCM of denominators i.e. for 408,5651 is 2305608.
Thus, GCF of Fractions is 1/2305608.Finally, GCF of Fractions for 7729/408, 5998/5651 is 1/2305608.