GCF of 8293/615, 3909/1700
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8293/615, 3909/1700 i.e 1/209100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8293/615, 3909/1700.
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 8293/615,3909/1700?
Given fractions are 8293/615,3909/1700
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 8293/615,3909/1700, numerators are 8293,3909
Denominators are 615,1700
The GCF of 8293,3909 is 1 .
LCM of 615,1700 is 209100.
The greatest common factor of 8293/615,3909/1700 = [GCF of 8293,3909]/[LCM of 615,1700]= 1/209100
Therefore, the GCF of 8293/615,3909/1700 is 1/209100.
To find the highest common factor of 8293,3909, we have to find the factors of both numbers and list the highest common factor.
The factors of 8293 are 1, 8293
The factors of 3909 are 1, 3, 1303, 3909
The HCF of 8293,3909 is 1.
Lets's calculate GCF of 8293,3909
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8293,3909 By Matching Biggest Common Factor Method
Now, list down the factors of 8293
:1,8293
Now, list down the factors of 3909
:1,3,1303,3909
Greatest Common Factor
We found the factors 8293,3909 . The biggest common factor number is the GCF number.
So the greatest common factor 8293,3909 is 1.
Lets's calculate LCM of 615,1700
| 5 | 615, 1700 |
| 123, 340 |
∴ So the LCM of the given numbers is 5 x 123 x 340 = 209100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/209100
Therefore, the GCF of Fractions 8293/615,3909/1700 is 1/209100
Least Common Multiple of 615,1700 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 615,1700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,1700) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(615,1700) x common factors =5 x 1 = 5
LCM(615,1700) = ( 615 × 1700 ) / 5
LCM(615,1700) = 1045500 / 5
LCM(615,1700) = 209100
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FAQs on GCF of Fractions of 8293/615, 3909/1700
1. What is the HCF of 8293,3909?
The HCF of 8293,3909 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 8293/615, 3909/1700?
Answer: GCF of Numerators as per given numbers 8293/615, 3909/1700 is
GCF of Numerators i.e. for 8293,3909 is 1
LCM of denominators i.e. for 615,1700 is 209100.
Thus, GCF of Fractions is 1/209100.Finally, GCF of Fractions for 8293/615, 3909/1700 is 1/209100.