GCF of 1249/213, 2010/2107
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1249/213, 2010/2107 i.e 1/448791 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1249/213, 2010/2107.
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 1249/213,2010/2107?
Given fractions are 1249/213,2010/2107
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 1249/213,2010/2107, numerators are 1249,2010
Denominators are 213,2107
The GCF of 1249,2010 is 1 .
LCM of 213,2107 is 448791.
The greatest common factor of 1249/213,2010/2107 = [GCF of 1249,2010]/[LCM of 213,2107]= 1/448791
Therefore, the GCF of 1249/213,2010/2107 is 1/448791.
To find the highest common factor of 1249,2010, we have to find the factors of both numbers and list the highest common factor.
The factors of 1249 are 1, 1249
The factors of 2010 are 1, 2, 3, 5, 6, 10, 15, 30, 67, 134, 201, 335, 402, 670, 1005, 2010
The HCF of 1249,2010 is 1.
Lets's calculate GCF of 1249,2010
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1249,2010 By Matching Biggest Common Factor Method
Now, list down the factors of 1249
:1,1249
Now, list down the factors of 2010
:1,2,3,5,6,10,15,30,67,134,201,335,402,670,1005,2010
Greatest Common Factor
We found the factors 1249,2010 . The biggest common factor number is the GCF number.
So the greatest common factor 1249,2010 is 1.
Lets's calculate LCM of 213,2107
Given numbers has no common factors except 1. So, there LCM is their product i.e 448791
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/448791
Therefore, the GCF of Fractions 1249/213,2010/2107 is 1/448791
Least Common Multiple of 213,2107 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 213,2107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,2107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,2107) x common factors =1 x 1 = 1
LCM(213,2107) = ( 213 × 2107 ) / 1
LCM(213,2107) = 448791 / 1
LCM(213,2107) = 448791
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FAQs on GCF of Fractions of 1249/213, 2010/2107
1. What is the HCF of 1249,2010?
The HCF of 1249,2010 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 1249/213, 2010/2107?
Answer: GCF of Numerators as per given numbers 1249/213, 2010/2107 is
GCF of Numerators i.e. for 1249,2010 is 1
LCM of denominators i.e. for 213,2107 is 448791.
Thus, GCF of Fractions is 1/448791.Finally, GCF of Fractions for 1249/213, 2010/2107 is 1/448791.