GCF of 3649/628, 5272/2141
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3649/628, 5272/2141 i.e 1/1344548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3649/628, 5272/2141.
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 3649/628,5272/2141?
Given fractions are 3649/628,5272/2141
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 3649/628,5272/2141, numerators are 3649,5272
Denominators are 628,2141
The GCF of 3649,5272 is 1 .
LCM of 628,2141 is 1344548.
The greatest common factor of 3649/628,5272/2141 = [GCF of 3649,5272]/[LCM of 628,2141]= 1/1344548
Therefore, the GCF of 3649/628,5272/2141 is 1/1344548.
To find the highest common factor of 3649,5272, we have to find the factors of both numbers and list the highest common factor.
The factors of 3649 are 1, 41, 89, 3649
The factors of 5272 are 1, 2, 4, 8, 659, 1318, 2636, 5272
The HCF of 3649,5272 is 1.
Lets's calculate GCF of 3649,5272
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3649,5272 By Matching Biggest Common Factor Method
Now, list down the factors of 3649
:1,41,89,3649
Now, list down the factors of 5272
:1,2,4,8,659,1318,2636,5272
Greatest Common Factor
We found the factors 3649,5272 . The biggest common factor number is the GCF number.
So the greatest common factor 3649,5272 is 1.
Lets's calculate LCM of 628,2141
Given numbers has no common factors except 1. So, there LCM is their product i.e 1344548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1344548
Therefore, the GCF of Fractions 3649/628,5272/2141 is 1/1344548
Least Common Multiple of 628,2141 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 628,2141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,2141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(628,2141) x common factors =1 x 1 = 1
LCM(628,2141) = ( 628 × 2141 ) / 1
LCM(628,2141) = 1344548 / 1
LCM(628,2141) = 1344548
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FAQs on GCF of Fractions of 3649/628, 5272/2141
1. What is the HCF of 3649,5272?
The HCF of 3649,5272 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 3649/628, 5272/2141?
Answer: GCF of Numerators as per given numbers 3649/628, 5272/2141 is
GCF of Numerators i.e. for 3649,5272 is 1
LCM of denominators i.e. for 628,2141 is 1344548.
Thus, GCF of Fractions is 1/1344548.Finally, GCF of Fractions for 3649/628, 5272/2141 is 1/1344548.