GCF of 3575/964, 8957/5006
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3575/964, 8957/5006 i.e 13/2412892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3575/964, 8957/5006.
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 3575/964,8957/5006?
Given fractions are 3575/964,8957/5006
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 3575/964,8957/5006, numerators are 3575,8957
Denominators are 964,5006
The GCF of 3575,8957 is 13 .
LCM of 964,5006 is 2412892.
The greatest common factor of 3575/964,8957/5006 = [GCF of 3575,8957]/[LCM of 964,5006]= 13/2412892
Therefore, the GCF of 3575/964,8957/5006 is 13/2412892.
To find the highest common factor of 3575,8957, we have to find the factors of both numbers and list the highest common factor.
The factors of 3575 are 1, 5, 11, 13, 25, 55, 65, 143, 275, 325, 715, 3575
The factors of 8957 are 1, 13, 53, 169, 689, 8957
The HCF of 3575,8957 is 13.
Lets's calculate GCF of 3575,8957
| 13 | 3575, 8957 |
| 275, 689 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 3575,8957 By Matching Biggest Common Factor Method
Now, list down the factors of 3575
:1,5,11,13,25,55,65,143,275,325,715,3575
Now, list down the factors of 8957
:1,13,53,169,689,8957
Greatest Common Factor
We found the factors 3575,8957 . The biggest common factor number is the GCF number.
So the greatest common factor 3575,8957 is 13.
Lets's calculate LCM of 964,5006
| 2 | 964, 5006 |
| 482, 2503 |
∴ So the LCM of the given numbers is 2 x 482 x 2503 = 2412892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2412892
Therefore, the GCF of Fractions 3575/964,8957/5006 is 13/2412892
Least Common Multiple of 964,5006 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 964,5006 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,5006) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(964,5006) x common factors =2 x 1 = 2
LCM(964,5006) = ( 964 × 5006 ) / 2
LCM(964,5006) = 4825784 / 2
LCM(964,5006) = 2412892
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FAQs on GCF of Fractions of 3575/964, 8957/5006
1. What is the HCF of 3575,8957?
The HCF of 3575,8957 is 13
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 3575/964, 8957/5006?
Answer: GCF of Numerators as per given numbers 3575/964, 8957/5006 is
GCF of Numerators i.e. for 3575,8957 is 13
LCM of denominators i.e. for 964,5006 is 2412892.
Thus, GCF of Fractions is 13/2412892.Finally, GCF of Fractions for 3575/964, 8957/5006 is 13/2412892.