GCF of 2126/630, 4158/465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2126/630, 4158/465 i.e 2/19530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2126/630, 4158/465.
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 2126/630,4158/465?
Given fractions are 2126/630,4158/465
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 2126/630,4158/465, numerators are 2126,4158
Denominators are 630,465
The GCF of 2126,4158 is 2 .
LCM of 630,465 is 19530.
The greatest common factor of 2126/630,4158/465 = [GCF of 2126,4158]/[LCM of 630,465]= 2/19530
Therefore, the GCF of 2126/630,4158/465 is 2/19530.
To find the highest common factor of 2126,4158, we have to find the factors of both numbers and list the highest common factor.
The factors of 2126 are 1, 2, 1063, 2126
The factors of 4158 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 27, 33, 42, 54, 63, 66, 77, 99, 126, 154, 189, 198, 231, 297, 378, 462, 594, 693, 1386, 2079, 4158
The HCF of 2126,4158 is 2.
Lets's calculate GCF of 2126,4158
| 2 | 2126, 4158 |
| 1063, 2079 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2126,4158 By Matching Biggest Common Factor Method
Now, list down the factors of 2126
:1,2,1063,2126
Now, list down the factors of 4158
:1,2,3,6,7,9,11,14,18,21,22,27,33,42,54,63,66,77,99,126,154,189,198,231,297,378,462,594,693,1386,2079,4158
Greatest Common Factor
We found the factors 2126,4158 . The biggest common factor number is the GCF number.
So the greatest common factor 2126,4158 is 2.
Lets's calculate LCM of 630,465
| 3 | 630, 465 |
| 5 | 210, 155 |
| 42, 31 |
∴ So the LCM of the given numbers is 3 x 5 x 42 x 31 = 19530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19530
Therefore, the GCF of Fractions 2126/630,4158/465 is 2/19530
Least Common Multiple of 630,465 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 630,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,465) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(630,465) x common factors =15 x 1 = 15
LCM(630,465) = ( 630 × 465 ) / 15
LCM(630,465) = 292950 / 15
LCM(630,465) = 19530
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2126/630, 4158/465
1. What is the HCF of 2126,4158?
The HCF of 2126,4158 is 2
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 2126/630, 4158/465?
Answer: GCF of Numerators as per given numbers 2126/630, 4158/465 is
GCF of Numerators i.e. for 2126,4158 is 2
LCM of denominators i.e. for 630,465 is 19530.
Thus, GCF of Fractions is 2/19530.Finally, GCF of Fractions for 2126/630, 4158/465 is 2/19530.