GCF of 3648/471, 3703/3248
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3648/471, 3703/3248 i.e 1/1529808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3648/471, 3703/3248.
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 3648/471,3703/3248?
Given fractions are 3648/471,3703/3248
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 3648/471,3703/3248, numerators are 3648,3703
Denominators are 471,3248
The GCF of 3648,3703 is 1 .
LCM of 471,3248 is 1529808.
The greatest common factor of 3648/471,3703/3248 = [GCF of 3648,3703]/[LCM of 471,3248]= 1/1529808
Therefore, the GCF of 3648/471,3703/3248 is 1/1529808.
To find the highest common factor of 3648,3703, we have to find the factors of both numbers and list the highest common factor.
The factors of 3648 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 152, 192, 228, 304, 456, 608, 912, 1216, 1824, 3648
The factors of 3703 are 1, 7, 23, 161, 529, 3703
The HCF of 3648,3703 is 1.
Lets's calculate GCF of 3648,3703
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3648,3703 By Matching Biggest Common Factor Method
Now, list down the factors of 3648
:1,2,3,4,6,8,12,16,19,24,32,38,48,57,64,76,96,114,152,192,228,304,456,608,912,1216,1824,3648
Now, list down the factors of 3703
:1,7,23,161,529,3703
Greatest Common Factor
We found the factors 3648,3703 . The biggest common factor number is the GCF number.
So the greatest common factor 3648,3703 is 1.
Lets's calculate LCM of 471,3248
Given numbers has no common factors except 1. So, there LCM is their product i.e 1529808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1529808
Therefore, the GCF of Fractions 3648/471,3703/3248 is 1/1529808
Least Common Multiple of 471,3248 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 471,3248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,3248) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(471,3248) x common factors =1 x 1 = 1
LCM(471,3248) = ( 471 × 3248 ) / 1
LCM(471,3248) = 1529808 / 1
LCM(471,3248) = 1529808
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FAQs on GCF of Fractions of 3648/471, 3703/3248
1. What is the HCF of 3648,3703?
The HCF of 3648,3703 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 3648/471, 3703/3248?
Answer: GCF of Numerators as per given numbers 3648/471, 3703/3248 is
GCF of Numerators i.e. for 3648,3703 is 1
LCM of denominators i.e. for 471,3248 is 1529808.
Thus, GCF of Fractions is 1/1529808.Finally, GCF of Fractions for 3648/471, 3703/3248 is 1/1529808.