GCF of 3515/175, 8321/915
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3515/175, 8321/915 i.e 1/32025 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3515/175, 8321/915.
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 3515/175,8321/915?
Given fractions are 3515/175,8321/915
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 3515/175,8321/915, numerators are 3515,8321
Denominators are 175,915
The GCF of 3515,8321 is 1 .
LCM of 175,915 is 32025.
The greatest common factor of 3515/175,8321/915 = [GCF of 3515,8321]/[LCM of 175,915]= 1/32025
Therefore, the GCF of 3515/175,8321/915 is 1/32025.
To find the highest common factor of 3515,8321, we have to find the factors of both numbers and list the highest common factor.
The factors of 3515 are 1, 5, 19, 37, 95, 185, 703, 3515
The factors of 8321 are 1, 53, 157, 8321
The HCF of 3515,8321 is 1.
Lets's calculate GCF of 3515,8321
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3515,8321 By Matching Biggest Common Factor Method
Now, list down the factors of 3515
:1,5,19,37,95,185,703,3515
Now, list down the factors of 8321
:1,53,157,8321
Greatest Common Factor
We found the factors 3515,8321 . The biggest common factor number is the GCF number.
So the greatest common factor 3515,8321 is 1.
Lets's calculate LCM of 175,915
| 5 | 175, 915 |
| 35, 183 |
∴ So the LCM of the given numbers is 5 x 35 x 183 = 32025
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32025
Therefore, the GCF of Fractions 3515/175,8321/915 is 1/32025
Least Common Multiple of 175,915 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 175,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,915) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(175,915) x common factors =5 x 1 = 5
LCM(175,915) = ( 175 × 915 ) / 5
LCM(175,915) = 160125 / 5
LCM(175,915) = 32025
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3515/175, 8321/915
1. What is the HCF of 3515,8321?
The HCF of 3515,8321 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 3515/175, 8321/915?
Answer: GCF of Numerators as per given numbers 3515/175, 8321/915 is
GCF of Numerators i.e. for 3515,8321 is 1
LCM of denominators i.e. for 175,915 is 32025.
Thus, GCF of Fractions is 1/32025.Finally, GCF of Fractions for 3515/175, 8321/915 is 1/32025.