GCF of 2634/133, 1407/1606
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2634/133, 1407/1606 i.e 3/213598 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2634/133, 1407/1606.
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 2634/133,1407/1606?
Given fractions are 2634/133,1407/1606
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 2634/133,1407/1606, numerators are 2634,1407
Denominators are 133,1606
The GCF of 2634,1407 is 3 .
LCM of 133,1606 is 213598.
The greatest common factor of 2634/133,1407/1606 = [GCF of 2634,1407]/[LCM of 133,1606]= 3/213598
Therefore, the GCF of 2634/133,1407/1606 is 3/213598.
To find the highest common factor of 2634,1407, we have to find the factors of both numbers and list the highest common factor.
The factors of 2634 are 1, 2, 3, 6, 439, 878, 1317, 2634
The factors of 1407 are 1, 3, 7, 21, 67, 201, 469, 1407
The HCF of 2634,1407 is 3.
Lets's calculate GCF of 2634,1407
| 3 | 2634, 1407 |
| 878, 469 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2634,1407 By Matching Biggest Common Factor Method
Now, list down the factors of 2634
:1,2,3,6,439,878,1317,2634
Now, list down the factors of 1407
:1,3,7,21,67,201,469,1407
Greatest Common Factor
We found the factors 2634,1407 . The biggest common factor number is the GCF number.
So the greatest common factor 2634,1407 is 3.
Lets's calculate LCM of 133,1606
Given numbers has no common factors except 1. So, there LCM is their product i.e 213598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/213598
Therefore, the GCF of Fractions 2634/133,1407/1606 is 3/213598
Least Common Multiple of 133,1606 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 133,1606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(133,1606) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(133,1606) x common factors =1 x 1 = 1
LCM(133,1606) = ( 133 × 1606 ) / 1
LCM(133,1606) = 213598 / 1
LCM(133,1606) = 213598
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FAQs on GCF of Fractions of 2634/133, 1407/1606
1. What is the HCF of 2634,1407?
The HCF of 2634,1407 is 3
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 2634/133, 1407/1606?
Answer: GCF of Numerators as per given numbers 2634/133, 1407/1606 is
GCF of Numerators i.e. for 2634,1407 is 3
LCM of denominators i.e. for 133,1606 is 213598.
Thus, GCF of Fractions is 3/213598.Finally, GCF of Fractions for 2634/133, 1407/1606 is 3/213598.