GCF of 2642/775, 3745/285
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2642/775, 3745/285 i.e 1/44175 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2642/775, 3745/285.
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 2642/775,3745/285?
Given fractions are 2642/775,3745/285
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 2642/775,3745/285, numerators are 2642,3745
Denominators are 775,285
The GCF of 2642,3745 is 1 .
LCM of 775,285 is 44175.
The greatest common factor of 2642/775,3745/285 = [GCF of 2642,3745]/[LCM of 775,285]= 1/44175
Therefore, the GCF of 2642/775,3745/285 is 1/44175.
To find the highest common factor of 2642,3745, we have to find the factors of both numbers and list the highest common factor.
The factors of 2642 are 1, 2, 1321, 2642
The factors of 3745 are 1, 5, 7, 35, 107, 535, 749, 3745
The HCF of 2642,3745 is 1.
Lets's calculate GCF of 2642,3745
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2642,3745 By Matching Biggest Common Factor Method
Now, list down the factors of 2642
:1,2,1321,2642
Now, list down the factors of 3745
:1,5,7,35,107,535,749,3745
Greatest Common Factor
We found the factors 2642,3745 . The biggest common factor number is the GCF number.
So the greatest common factor 2642,3745 is 1.
Lets's calculate LCM of 775,285
| 5 | 775, 285 |
| 155, 57 |
∴ So the LCM of the given numbers is 5 x 155 x 57 = 44175
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44175
Therefore, the GCF of Fractions 2642/775,3745/285 is 1/44175
Least Common Multiple of 775,285 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 775,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(775,285) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(775,285) x common factors =5 x 1 = 5
LCM(775,285) = ( 775 × 285 ) / 5
LCM(775,285) = 220875 / 5
LCM(775,285) = 44175
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FAQs on GCF of Fractions of 2642/775, 3745/285
1. What is the HCF of 2642,3745?
The HCF of 2642,3745 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 2642/775, 3745/285?
Answer: GCF of Numerators as per given numbers 2642/775, 3745/285 is
GCF of Numerators i.e. for 2642,3745 is 1
LCM of denominators i.e. for 775,285 is 44175.
Thus, GCF of Fractions is 1/44175.Finally, GCF of Fractions for 2642/775, 3745/285 is 1/44175.