GCF of 3465/571, 8521/5714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3465/571, 8521/5714 i.e 1/3262694 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3465/571, 8521/5714.
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 3465/571,8521/5714?
Given fractions are 3465/571,8521/5714
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 3465/571,8521/5714, numerators are 3465,8521
Denominators are 571,5714
The GCF of 3465,8521 is 1 .
LCM of 571,5714 is 3262694.
The greatest common factor of 3465/571,8521/5714 = [GCF of 3465,8521]/[LCM of 571,5714]= 1/3262694
Therefore, the GCF of 3465/571,8521/5714 is 1/3262694.
To find the highest common factor of 3465,8521, we have to find the factors of both numbers and list the highest common factor.
The factors of 3465 are 1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105, 165, 231, 315, 385, 495, 693, 1155, 3465
The factors of 8521 are 1, 8521
The HCF of 3465,8521 is 1.
Lets's calculate GCF of 3465,8521
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3465,8521 By Matching Biggest Common Factor Method
Now, list down the factors of 3465
:1,3,5,7,9,11,15,21,33,35,45,55,63,77,99,105,165,231,315,385,495,693,1155,3465
Now, list down the factors of 8521
:1,8521
Greatest Common Factor
We found the factors 3465,8521 . The biggest common factor number is the GCF number.
So the greatest common factor 3465,8521 is 1.
Lets's calculate LCM of 571,5714
Given numbers has no common factors except 1. So, there LCM is their product i.e 3262694
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3262694
Therefore, the GCF of Fractions 3465/571,8521/5714 is 1/3262694
Least Common Multiple of 571,5714 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 571,5714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(571,5714) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(571,5714) x common factors =1 x 1 = 1
LCM(571,5714) = ( 571 × 5714 ) / 1
LCM(571,5714) = 3262694 / 1
LCM(571,5714) = 3262694
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FAQs on GCF of Fractions of 3465/571, 8521/5714
1. What is the HCF of 3465,8521?
The HCF of 3465,8521 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 3465/571, 8521/5714?
Answer: GCF of Numerators as per given numbers 3465/571, 8521/5714 is
GCF of Numerators i.e. for 3465,8521 is 1
LCM of denominators i.e. for 571,5714 is 3262694.
Thus, GCF of Fractions is 1/3262694.Finally, GCF of Fractions for 3465/571, 8521/5714 is 1/3262694.