GCF of 3763/644, 1395/1353
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3763/644, 1395/1353 i.e 1/871332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3763/644, 1395/1353.
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 3763/644,1395/1353?
Given fractions are 3763/644,1395/1353
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 3763/644,1395/1353, numerators are 3763,1395
Denominators are 644,1353
The GCF of 3763,1395 is 1 .
LCM of 644,1353 is 871332.
The greatest common factor of 3763/644,1395/1353 = [GCF of 3763,1395]/[LCM of 644,1353]= 1/871332
Therefore, the GCF of 3763/644,1395/1353 is 1/871332.
To find the highest common factor of 3763,1395, we have to find the factors of both numbers and list the highest common factor.
The factors of 3763 are 1, 53, 71, 3763
The factors of 1395 are 1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465, 1395
The HCF of 3763,1395 is 1.
Lets's calculate GCF of 3763,1395
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3763,1395 By Matching Biggest Common Factor Method
Now, list down the factors of 3763
:1,53,71,3763
Now, list down the factors of 1395
:1,3,5,9,15,31,45,93,155,279,465,1395
Greatest Common Factor
We found the factors 3763,1395 . The biggest common factor number is the GCF number.
So the greatest common factor 3763,1395 is 1.
Lets's calculate LCM of 644,1353
Given numbers has no common factors except 1. So, there LCM is their product i.e 871332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/871332
Therefore, the GCF of Fractions 3763/644,1395/1353 is 1/871332
Least Common Multiple of 644,1353 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 644,1353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,1353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(644,1353) x common factors =1 x 1 = 1
LCM(644,1353) = ( 644 × 1353 ) / 1
LCM(644,1353) = 871332 / 1
LCM(644,1353) = 871332
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FAQs on GCF of Fractions of 3763/644, 1395/1353
1. What is the HCF of 3763,1395?
The HCF of 3763,1395 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 3763/644, 1395/1353?
Answer: GCF of Numerators as per given numbers 3763/644, 1395/1353 is
GCF of Numerators i.e. for 3763,1395 is 1
LCM of denominators i.e. for 644,1353 is 871332.
Thus, GCF of Fractions is 1/871332.Finally, GCF of Fractions for 3763/644, 1395/1353 is 1/871332.