GCF of 3587/765, 1700/4885
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3587/765, 1700/4885 i.e 17/747405 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3587/765, 1700/4885.
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 3587/765,1700/4885?
Given fractions are 3587/765,1700/4885
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 3587/765,1700/4885, numerators are 3587,1700
Denominators are 765,4885
The GCF of 3587,1700 is 17 .
LCM of 765,4885 is 747405.
The greatest common factor of 3587/765,1700/4885 = [GCF of 3587,1700]/[LCM of 765,4885]= 17/747405
Therefore, the GCF of 3587/765,1700/4885 is 17/747405.
To find the highest common factor of 3587,1700, we have to find the factors of both numbers and list the highest common factor.
The factors of 3587 are 1, 17, 211, 3587
The factors of 1700 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700
The HCF of 3587,1700 is 17.
Lets's calculate GCF of 3587,1700
| 17 | 3587, 1700 |
| 211, 100 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 3587,1700 By Matching Biggest Common Factor Method
Now, list down the factors of 3587
:1,17,211,3587
Now, list down the factors of 1700
:1,2,4,5,10,17,20,25,34,50,68,85,100,170,340,425,850,1700
Greatest Common Factor
We found the factors 3587,1700 . The biggest common factor number is the GCF number.
So the greatest common factor 3587,1700 is 17.
Lets's calculate LCM of 765,4885
| 5 | 765, 4885 |
| 153, 977 |
∴ So the LCM of the given numbers is 5 x 153 x 977 = 747405
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/747405
Therefore, the GCF of Fractions 3587/765,1700/4885 is 17/747405
Least Common Multiple of 765,4885 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 765,4885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,4885) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(765,4885) x common factors =5 x 1 = 5
LCM(765,4885) = ( 765 × 4885 ) / 5
LCM(765,4885) = 3737025 / 5
LCM(765,4885) = 747405
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FAQs on GCF of Fractions of 3587/765, 1700/4885
1. What is the HCF of 3587,1700?
The HCF of 3587,1700 is 17
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 3587/765, 1700/4885?
Answer: GCF of Numerators as per given numbers 3587/765, 1700/4885 is
GCF of Numerators i.e. for 3587,1700 is 17
LCM of denominators i.e. for 765,4885 is 747405.
Thus, GCF of Fractions is 17/747405.Finally, GCF of Fractions for 3587/765, 1700/4885 is 17/747405.