GCF of 1357/385, 1660/3265
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1357/385, 1660/3265 i.e 1/251405 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1357/385, 1660/3265.
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 1357/385,1660/3265?
Given fractions are 1357/385,1660/3265
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 1357/385,1660/3265, numerators are 1357,1660
Denominators are 385,3265
The GCF of 1357,1660 is 1 .
LCM of 385,3265 is 251405.
The greatest common factor of 1357/385,1660/3265 = [GCF of 1357,1660]/[LCM of 385,3265]= 1/251405
Therefore, the GCF of 1357/385,1660/3265 is 1/251405.
To find the highest common factor of 1357,1660, we have to find the factors of both numbers and list the highest common factor.
The factors of 1357 are 1, 23, 59, 1357
The factors of 1660 are 1, 2, 4, 5, 10, 20, 83, 166, 332, 415, 830, 1660
The HCF of 1357,1660 is 1.
Lets's calculate GCF of 1357,1660
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1357,1660 By Matching Biggest Common Factor Method
Now, list down the factors of 1357
:1,23,59,1357
Now, list down the factors of 1660
:1,2,4,5,10,20,83,166,332,415,830,1660
Greatest Common Factor
We found the factors 1357,1660 . The biggest common factor number is the GCF number.
So the greatest common factor 1357,1660 is 1.
Lets's calculate LCM of 385,3265
| 5 | 385, 3265 |
| 77, 653 |
∴ So the LCM of the given numbers is 5 x 77 x 653 = 251405
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/251405
Therefore, the GCF of Fractions 1357/385,1660/3265 is 1/251405
Least Common Multiple of 385,3265 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 385,3265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,3265) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(385,3265) x common factors =5 x 1 = 5
LCM(385,3265) = ( 385 × 3265 ) / 5
LCM(385,3265) = 1257025 / 5
LCM(385,3265) = 251405
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FAQs on GCF of Fractions of 1357/385, 1660/3265
1. What is the HCF of 1357,1660?
The HCF of 1357,1660 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 1357/385, 1660/3265?
Answer: GCF of Numerators as per given numbers 1357/385, 1660/3265 is
GCF of Numerators i.e. for 1357,1660 is 1
LCM of denominators i.e. for 385,3265 is 251405.
Thus, GCF of Fractions is 1/251405.Finally, GCF of Fractions for 1357/385, 1660/3265 is 1/251405.