GCF of 9521/495, 8414/7726
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9521/495, 8414/7726 i.e 1/3824370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9521/495, 8414/7726.
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 9521/495,8414/7726?
Given fractions are 9521/495,8414/7726
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 9521/495,8414/7726, numerators are 9521,8414
Denominators are 495,7726
The GCF of 9521,8414 is 1 .
LCM of 495,7726 is 3824370.
The greatest common factor of 9521/495,8414/7726 = [GCF of 9521,8414]/[LCM of 495,7726]= 1/3824370
Therefore, the GCF of 9521/495,8414/7726 is 1/3824370.
To find the highest common factor of 9521,8414, we have to find the factors of both numbers and list the highest common factor.
The factors of 9521 are 1, 9521
The factors of 8414 are 1, 2, 7, 14, 601, 1202, 4207, 8414
The HCF of 9521,8414 is 1.
Lets's calculate GCF of 9521,8414
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9521,8414 By Matching Biggest Common Factor Method
Now, list down the factors of 9521
:1,9521
Now, list down the factors of 8414
:1,2,7,14,601,1202,4207,8414
Greatest Common Factor
We found the factors 9521,8414 . The biggest common factor number is the GCF number.
So the greatest common factor 9521,8414 is 1.
Lets's calculate LCM of 495,7726
Given numbers has no common factors except 1. So, there LCM is their product i.e 3824370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3824370
Therefore, the GCF of Fractions 9521/495,8414/7726 is 1/3824370
Least Common Multiple of 495,7726 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 495,7726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(495,7726) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(495,7726) x common factors =1 x 1 = 1
LCM(495,7726) = ( 495 × 7726 ) / 1
LCM(495,7726) = 3824370 / 1
LCM(495,7726) = 3824370
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FAQs on GCF of Fractions of 9521/495, 8414/7726
1. What is the HCF of 9521,8414?
The HCF of 9521,8414 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 9521/495, 8414/7726?
Answer: GCF of Numerators as per given numbers 9521/495, 8414/7726 is
GCF of Numerators i.e. for 9521,8414 is 1
LCM of denominators i.e. for 495,7726 is 3824370.
Thus, GCF of Fractions is 1/3824370.Finally, GCF of Fractions for 9521/495, 8414/7726 is 1/3824370.