GCF of 3754/565, 2855/4725
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3754/565, 2855/4725 i.e 1/533925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3754/565, 2855/4725.
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 3754/565,2855/4725?
Given fractions are 3754/565,2855/4725
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 3754/565,2855/4725, numerators are 3754,2855
Denominators are 565,4725
The GCF of 3754,2855 is 1 .
LCM of 565,4725 is 533925.
The greatest common factor of 3754/565,2855/4725 = [GCF of 3754,2855]/[LCM of 565,4725]= 1/533925
Therefore, the GCF of 3754/565,2855/4725 is 1/533925.
To find the highest common factor of 3754,2855, we have to find the factors of both numbers and list the highest common factor.
The factors of 3754 are 1, 2, 1877, 3754
The factors of 2855 are 1, 5, 571, 2855
The HCF of 3754,2855 is 1.
Lets's calculate GCF of 3754,2855
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3754,2855 By Matching Biggest Common Factor Method
Now, list down the factors of 3754
:1,2,1877,3754
Now, list down the factors of 2855
:1,5,571,2855
Greatest Common Factor
We found the factors 3754,2855 . The biggest common factor number is the GCF number.
So the greatest common factor 3754,2855 is 1.
Lets's calculate LCM of 565,4725
| 5 | 565, 4725 |
| 113, 945 |
∴ So the LCM of the given numbers is 5 x 113 x 945 = 533925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/533925
Therefore, the GCF of Fractions 3754/565,2855/4725 is 1/533925
Least Common Multiple of 565,4725 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 565,4725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,4725) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(565,4725) x common factors =5 x 1 = 5
LCM(565,4725) = ( 565 × 4725 ) / 5
LCM(565,4725) = 2669625 / 5
LCM(565,4725) = 533925
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FAQs on GCF of Fractions of 3754/565, 2855/4725
1. What is the HCF of 3754,2855?
The HCF of 3754,2855 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 3754/565, 2855/4725?
Answer: GCF of Numerators as per given numbers 3754/565, 2855/4725 is
GCF of Numerators i.e. for 3754,2855 is 1
LCM of denominators i.e. for 565,4725 is 533925.
Thus, GCF of Fractions is 1/533925.Finally, GCF of Fractions for 3754/565, 2855/4725 is 1/533925.