GCF of 2225/722, 3745/6853
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2225/722, 3745/6853 i.e 5/4947866 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2225/722, 3745/6853.
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 2225/722,3745/6853?
Given fractions are 2225/722,3745/6853
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 2225/722,3745/6853, numerators are 2225,3745
Denominators are 722,6853
The GCF of 2225,3745 is 5 .
LCM of 722,6853 is 4947866.
The greatest common factor of 2225/722,3745/6853 = [GCF of 2225,3745]/[LCM of 722,6853]= 5/4947866
Therefore, the GCF of 2225/722,3745/6853 is 5/4947866.
To find the highest common factor of 2225,3745, we have to find the factors of both numbers and list the highest common factor.
The factors of 2225 are 1, 5, 25, 89, 445, 2225
The factors of 3745 are 1, 5, 7, 35, 107, 535, 749, 3745
The HCF of 2225,3745 is 5.
Lets's calculate GCF of 2225,3745
| 5 | 2225, 3745 |
| 445, 749 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2225,3745 By Matching Biggest Common Factor Method
Now, list down the factors of 2225
:1,5,25,89,445,2225
Now, list down the factors of 3745
:1,5,7,35,107,535,749,3745
Greatest Common Factor
We found the factors 2225,3745 . The biggest common factor number is the GCF number.
So the greatest common factor 2225,3745 is 5.
Lets's calculate LCM of 722,6853
Given numbers has no common factors except 1. So, there LCM is their product i.e 4947866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4947866
Therefore, the GCF of Fractions 2225/722,3745/6853 is 5/4947866
Least Common Multiple of 722,6853 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 722,6853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,6853) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(722,6853) x common factors =1 x 1 = 1
LCM(722,6853) = ( 722 × 6853 ) / 1
LCM(722,6853) = 4947866 / 1
LCM(722,6853) = 4947866
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FAQs on GCF of Fractions of 2225/722, 3745/6853
1. What is the HCF of 2225,3745?
The HCF of 2225,3745 is 5
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 2225/722, 3745/6853?
Answer: GCF of Numerators as per given numbers 2225/722, 3745/6853 is
GCF of Numerators i.e. for 2225,3745 is 5
LCM of denominators i.e. for 722,6853 is 4947866.
Thus, GCF of Fractions is 5/4947866.Finally, GCF of Fractions for 2225/722, 3745/6853 is 5/4947866.