GCF of 7525/711, 8534/9794
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7525/711, 8534/9794 i.e 1/6963534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7525/711, 8534/9794.
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 7525/711,8534/9794?
Given fractions are 7525/711,8534/9794
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 7525/711,8534/9794, numerators are 7525,8534
Denominators are 711,9794
The GCF of 7525,8534 is 1 .
LCM of 711,9794 is 6963534.
The greatest common factor of 7525/711,8534/9794 = [GCF of 7525,8534]/[LCM of 711,9794]= 1/6963534
Therefore, the GCF of 7525/711,8534/9794 is 1/6963534.
To find the highest common factor of 7525,8534, we have to find the factors of both numbers and list the highest common factor.
The factors of 7525 are 1, 5, 7, 25, 35, 43, 175, 215, 301, 1075, 1505, 7525
The factors of 8534 are 1, 2, 17, 34, 251, 502, 4267, 8534
The HCF of 7525,8534 is 1.
Lets's calculate GCF of 7525,8534
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7525,8534 By Matching Biggest Common Factor Method
Now, list down the factors of 7525
:1,5,7,25,35,43,175,215,301,1075,1505,7525
Now, list down the factors of 8534
:1,2,17,34,251,502,4267,8534
Greatest Common Factor
We found the factors 7525,8534 . The biggest common factor number is the GCF number.
So the greatest common factor 7525,8534 is 1.
Lets's calculate LCM of 711,9794
Given numbers has no common factors except 1. So, there LCM is their product i.e 6963534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6963534
Therefore, the GCF of Fractions 7525/711,8534/9794 is 1/6963534
Least Common Multiple of 711,9794 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 711,9794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,9794) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(711,9794) x common factors =1 x 1 = 1
LCM(711,9794) = ( 711 × 9794 ) / 1
LCM(711,9794) = 6963534 / 1
LCM(711,9794) = 6963534
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FAQs on GCF of Fractions of 7525/711, 8534/9794
1. What is the HCF of 7525,8534?
The HCF of 7525,8534 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 7525/711, 8534/9794?
Answer: GCF of Numerators as per given numbers 7525/711, 8534/9794 is
GCF of Numerators i.e. for 7525,8534 is 1
LCM of denominators i.e. for 711,9794 is 6963534.
Thus, GCF of Fractions is 1/6963534.Finally, GCF of Fractions for 7525/711, 8534/9794 is 1/6963534.