GCF of 7685/523, 7037/9084
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7685/523, 7037/9084 i.e 1/4750932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7685/523, 7037/9084.
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 7685/523,7037/9084?
Given fractions are 7685/523,7037/9084
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 7685/523,7037/9084, numerators are 7685,7037
Denominators are 523,9084
The GCF of 7685,7037 is 1 .
LCM of 523,9084 is 4750932.
The greatest common factor of 7685/523,7037/9084 = [GCF of 7685,7037]/[LCM of 523,9084]= 1/4750932
Therefore, the GCF of 7685/523,7037/9084 is 1/4750932.
To find the highest common factor of 7685,7037, we have to find the factors of both numbers and list the highest common factor.
The factors of 7685 are 1, 5, 29, 53, 145, 265, 1537, 7685
The factors of 7037 are 1, 31, 227, 7037
The HCF of 7685,7037 is 1.
Lets's calculate GCF of 7685,7037
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7685,7037 By Matching Biggest Common Factor Method
Now, list down the factors of 7685
:1,5,29,53,145,265,1537,7685
Now, list down the factors of 7037
:1,31,227,7037
Greatest Common Factor
We found the factors 7685,7037 . The biggest common factor number is the GCF number.
So the greatest common factor 7685,7037 is 1.
Lets's calculate LCM of 523,9084
Given numbers has no common factors except 1. So, there LCM is their product i.e 4750932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4750932
Therefore, the GCF of Fractions 7685/523,7037/9084 is 1/4750932
Least Common Multiple of 523,9084 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 523,9084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(523,9084) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(523,9084) x common factors =1 x 1 = 1
LCM(523,9084) = ( 523 × 9084 ) / 1
LCM(523,9084) = 4750932 / 1
LCM(523,9084) = 4750932
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FAQs on GCF of Fractions of 7685/523, 7037/9084
1. What is the HCF of 7685,7037?
The HCF of 7685,7037 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 7685/523, 7037/9084?
Answer: GCF of Numerators as per given numbers 7685/523, 7037/9084 is
GCF of Numerators i.e. for 7685,7037 is 1
LCM of denominators i.e. for 523,9084 is 4750932.
Thus, GCF of Fractions is 1/4750932.Finally, GCF of Fractions for 7685/523, 7037/9084 is 1/4750932.