GCF of 3573/916, 8505/9362
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3573/916, 8505/9362 i.e 9/4287796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3573/916, 8505/9362.
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 3573/916,8505/9362?
Given fractions are 3573/916,8505/9362
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 3573/916,8505/9362, numerators are 3573,8505
Denominators are 916,9362
The GCF of 3573,8505 is 9 .
LCM of 916,9362 is 4287796.
The greatest common factor of 3573/916,8505/9362 = [GCF of 3573,8505]/[LCM of 916,9362]= 9/4287796
Therefore, the GCF of 3573/916,8505/9362 is 9/4287796.
To find the highest common factor of 3573,8505, we have to find the factors of both numbers and list the highest common factor.
The factors of 3573 are 1, 3, 9, 397, 1191, 3573
The factors of 8505 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 945, 1215, 1701, 2835, 8505
The HCF of 3573,8505 is 9.
Lets's calculate GCF of 3573,8505
| 3 | 3573, 8505 |
| 3 | 1191, 2835 |
| 397, 945 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 3573,8505 By Matching Biggest Common Factor Method
Now, list down the factors of 3573
:1,3,9,397,1191,3573
Now, list down the factors of 8505
:1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,243,315,405,567,945,1215,1701,2835,8505
Greatest Common Factor
We found the factors 3573,8505 . The biggest common factor number is the GCF number.
So the greatest common factor 3573,8505 is 9.
Lets's calculate LCM of 916,9362
| 2 | 916, 9362 |
| 458, 4681 |
∴ So the LCM of the given numbers is 2 x 458 x 4681 = 4287796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/4287796
Therefore, the GCF of Fractions 3573/916,8505/9362 is 9/4287796
Least Common Multiple of 916,9362 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 916,9362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,9362) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(916,9362) x common factors =2 x 1 = 2
LCM(916,9362) = ( 916 × 9362 ) / 2
LCM(916,9362) = 8575592 / 2
LCM(916,9362) = 4287796
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FAQs on GCF of Fractions of 3573/916, 8505/9362
1. What is the HCF of 3573,8505?
The HCF of 3573,8505 is 9
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 3573/916, 8505/9362?
Answer: GCF of Numerators as per given numbers 3573/916, 8505/9362 is
GCF of Numerators i.e. for 3573,8505 is 9
LCM of denominators i.e. for 916,9362 is 4287796.
Thus, GCF of Fractions is 9/4287796.Finally, GCF of Fractions for 3573/916, 8505/9362 is 9/4287796.