GCF of 3625/674, 2237/3791
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3625/674, 2237/3791 i.e 1/2555134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3625/674, 2237/3791.
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 3625/674,2237/3791?
Given fractions are 3625/674,2237/3791
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 3625/674,2237/3791, numerators are 3625,2237
Denominators are 674,3791
The GCF of 3625,2237 is 1 .
LCM of 674,3791 is 2555134.
The greatest common factor of 3625/674,2237/3791 = [GCF of 3625,2237]/[LCM of 674,3791]= 1/2555134
Therefore, the GCF of 3625/674,2237/3791 is 1/2555134.
To find the highest common factor of 3625,2237, we have to find the factors of both numbers and list the highest common factor.
The factors of 3625 are 1, 5, 25, 29, 125, 145, 725, 3625
The factors of 2237 are 1, 2237
The HCF of 3625,2237 is 1.
Lets's calculate GCF of 3625,2237
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3625,2237 By Matching Biggest Common Factor Method
Now, list down the factors of 3625
:1,5,25,29,125,145,725,3625
Now, list down the factors of 2237
:1,2237
Greatest Common Factor
We found the factors 3625,2237 . The biggest common factor number is the GCF number.
So the greatest common factor 3625,2237 is 1.
Lets's calculate LCM of 674,3791
Given numbers has no common factors except 1. So, there LCM is their product i.e 2555134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2555134
Therefore, the GCF of Fractions 3625/674,2237/3791 is 1/2555134
Least Common Multiple of 674,3791 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 674,3791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,3791) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(674,3791) x common factors =1 x 1 = 1
LCM(674,3791) = ( 674 × 3791 ) / 1
LCM(674,3791) = 2555134 / 1
LCM(674,3791) = 2555134
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FAQs on GCF of Fractions of 3625/674, 2237/3791
1. What is the HCF of 3625,2237?
The HCF of 3625,2237 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 3625/674, 2237/3791?
Answer: GCF of Numerators as per given numbers 3625/674, 2237/3791 is
GCF of Numerators i.e. for 3625,2237 is 1
LCM of denominators i.e. for 674,3791 is 2555134.
Thus, GCF of Fractions is 1/2555134.Finally, GCF of Fractions for 3625/674, 2237/3791 is 1/2555134.