GCF of 2629/154, 2102/2108
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2629/154, 2102/2108 i.e 1/162316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2629/154, 2102/2108.
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 2629/154,2102/2108?
Given fractions are 2629/154,2102/2108
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 2629/154,2102/2108, numerators are 2629,2102
Denominators are 154,2108
The GCF of 2629,2102 is 1 .
LCM of 154,2108 is 162316.
The greatest common factor of 2629/154,2102/2108 = [GCF of 2629,2102]/[LCM of 154,2108]= 1/162316
Therefore, the GCF of 2629/154,2102/2108 is 1/162316.
To find the highest common factor of 2629,2102, we have to find the factors of both numbers and list the highest common factor.
The factors of 2629 are 1, 11, 239, 2629
The factors of 2102 are 1, 2, 1051, 2102
The HCF of 2629,2102 is 1.
Lets's calculate GCF of 2629,2102
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2629,2102 By Matching Biggest Common Factor Method
Now, list down the factors of 2629
:1,11,239,2629
Now, list down the factors of 2102
:1,2,1051,2102
Greatest Common Factor
We found the factors 2629,2102 . The biggest common factor number is the GCF number.
So the greatest common factor 2629,2102 is 1.
Lets's calculate LCM of 154,2108
| 2 | 154, 2108 |
| 77, 1054 |
∴ So the LCM of the given numbers is 2 x 77 x 1054 = 162316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162316
Therefore, the GCF of Fractions 2629/154,2102/2108 is 1/162316
Least Common Multiple of 154,2108 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 154,2108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,2108) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(154,2108) x common factors =2 x 1 = 2
LCM(154,2108) = ( 154 × 2108 ) / 2
LCM(154,2108) = 324632 / 2
LCM(154,2108) = 162316
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2629/154, 2102/2108
1. What is the HCF of 2629,2102?
The HCF of 2629,2102 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 2629/154, 2102/2108?
Answer: GCF of Numerators as per given numbers 2629/154, 2102/2108 is
GCF of Numerators i.e. for 2629,2102 is 1
LCM of denominators i.e. for 154,2108 is 162316.
Thus, GCF of Fractions is 1/162316.Finally, GCF of Fractions for 2629/154, 2102/2108 is 1/162316.