GCF of 7529/125, 6721/5582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7529/125, 6721/5582 i.e 1/697750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7529/125, 6721/5582.
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 7529/125,6721/5582?
Given fractions are 7529/125,6721/5582
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 7529/125,6721/5582, numerators are 7529,6721
Denominators are 125,5582
The GCF of 7529,6721 is 1 .
LCM of 125,5582 is 697750.
The greatest common factor of 7529/125,6721/5582 = [GCF of 7529,6721]/[LCM of 125,5582]= 1/697750
Therefore, the GCF of 7529/125,6721/5582 is 1/697750.
To find the highest common factor of 7529,6721, we have to find the factors of both numbers and list the highest common factor.
The factors of 7529 are 1, 7529
The factors of 6721 are 1, 11, 13, 47, 143, 517, 611, 6721
The HCF of 7529,6721 is 1.
Lets's calculate GCF of 7529,6721
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7529,6721 By Matching Biggest Common Factor Method
Now, list down the factors of 7529
:1,7529
Now, list down the factors of 6721
:1,11,13,47,143,517,611,6721
Greatest Common Factor
We found the factors 7529,6721 . The biggest common factor number is the GCF number.
So the greatest common factor 7529,6721 is 1.
Lets's calculate LCM of 125,5582
Given numbers has no common factors except 1. So, there LCM is their product i.e 697750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/697750
Therefore, the GCF of Fractions 7529/125,6721/5582 is 1/697750
Least Common Multiple of 125,5582 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 125,5582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,5582) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(125,5582) x common factors =1 x 1 = 1
LCM(125,5582) = ( 125 × 5582 ) / 1
LCM(125,5582) = 697750 / 1
LCM(125,5582) = 697750
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7529/125, 6721/5582
1. What is the HCF of 7529,6721?
The HCF of 7529,6721 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 7529/125, 6721/5582?
Answer: GCF of Numerators as per given numbers 7529/125, 6721/5582 is
GCF of Numerators i.e. for 7529,6721 is 1
LCM of denominators i.e. for 125,5582 is 697750.
Thus, GCF of Fractions is 1/697750.Finally, GCF of Fractions for 7529/125, 6721/5582 is 1/697750.