GCF of 3517/616, 4491/8162
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3517/616, 4491/8162 i.e 1/32648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3517/616, 4491/8162.
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 3517/616,4491/8162?
Given fractions are 3517/616,4491/8162
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 3517/616,4491/8162, numerators are 3517,4491
Denominators are 616,8162
The GCF of 3517,4491 is 1 .
LCM of 616,8162 is 32648.
The greatest common factor of 3517/616,4491/8162 = [GCF of 3517,4491]/[LCM of 616,8162]= 1/32648
Therefore, the GCF of 3517/616,4491/8162 is 1/32648.
To find the highest common factor of 3517,4491, we have to find the factors of both numbers and list the highest common factor.
The factors of 3517 are 1, 3517
The factors of 4491 are 1, 3, 9, 499, 1497, 4491
The HCF of 3517,4491 is 1.
Lets's calculate GCF of 3517,4491
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3517,4491 By Matching Biggest Common Factor Method
Now, list down the factors of 3517
:1,3517
Now, list down the factors of 4491
:1,3,9,499,1497,4491
Greatest Common Factor
We found the factors 3517,4491 . The biggest common factor number is the GCF number.
So the greatest common factor 3517,4491 is 1.
Lets's calculate LCM of 616,8162
| 2 | 616, 8162 |
| 7 | 308, 4081 |
| 11 | 44, 583 |
| 4, 53 |
∴ So the LCM of the given numbers is 2 x 7 x 11 x 4 x 53 = 32648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32648
Therefore, the GCF of Fractions 3517/616,4491/8162 is 1/32648
Least Common Multiple of 616,8162 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 616,8162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,8162) = 154
common factors(in case of two or more numbers have common factors) = 1
GCF(616,8162) x common factors =154 x 1 = 154
LCM(616,8162) = ( 616 × 8162 ) / 154
LCM(616,8162) = 5027792 / 154
LCM(616,8162) = 32648
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FAQs on GCF of Fractions of 3517/616, 4491/8162
1. What is the HCF of 3517,4491?
The HCF of 3517,4491 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 3517/616, 4491/8162?
Answer: GCF of Numerators as per given numbers 3517/616, 4491/8162 is
GCF of Numerators i.e. for 3517,4491 is 1
LCM of denominators i.e. for 616,8162 is 32648.
Thus, GCF of Fractions is 1/32648.Finally, GCF of Fractions for 3517/616, 4491/8162 is 1/32648.