GCF of 1908/936, 9114/465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1908/936, 9114/465 i.e 6/145080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1908/936, 9114/465.
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 1908/936,9114/465?
Given fractions are 1908/936,9114/465
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 1908/936,9114/465, numerators are 1908,9114
Denominators are 936,465
The GCF of 1908,9114 is 6 .
LCM of 936,465 is 145080.
The greatest common factor of 1908/936,9114/465 = [GCF of 1908,9114]/[LCM of 936,465]= 6/145080
Therefore, the GCF of 1908/936,9114/465 is 6/145080.
To find the highest common factor of 1908,9114, we have to find the factors of both numbers and list the highest common factor.
The factors of 1908 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 53, 106, 159, 212, 318, 477, 636, 954, 1908
The factors of 9114 are 1, 2, 3, 6, 7, 14, 21, 31, 42, 49, 62, 93, 98, 147, 186, 217, 294, 434, 651, 1302, 1519, 3038, 4557, 9114
The HCF of 1908,9114 is 6.
Lets's calculate GCF of 1908,9114
| 2 | 1908, 9114 |
| 3 | 954, 4557 |
| 318, 1519 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1908,9114 By Matching Biggest Common Factor Method
Now, list down the factors of 1908
:1,2,3,4,6,9,12,18,36,53,106,159,212,318,477,636,954,1908
Now, list down the factors of 9114
:1,2,3,6,7,14,21,31,42,49,62,93,98,147,186,217,294,434,651,1302,1519,3038,4557,9114
Greatest Common Factor
We found the factors 1908,9114 . The biggest common factor number is the GCF number.
So the greatest common factor 1908,9114 is 6.
Lets's calculate LCM of 936,465
| 3 | 936, 465 |
| 312, 155 |
∴ So the LCM of the given numbers is 3 x 312 x 155 = 145080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/145080
Therefore, the GCF of Fractions 1908/936,9114/465 is 6/145080
Least Common Multiple of 936,465 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 936,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(936,465) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(936,465) x common factors =3 x 1 = 3
LCM(936,465) = ( 936 × 465 ) / 3
LCM(936,465) = 435240 / 3
LCM(936,465) = 145080
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1908/936, 9114/465
1. What is the HCF of 1908,9114?
The HCF of 1908,9114 is 6
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 1908/936, 9114/465?
Answer: GCF of Numerators as per given numbers 1908/936, 9114/465 is
GCF of Numerators i.e. for 1908,9114 is 6
LCM of denominators i.e. for 936,465 is 145080.
Thus, GCF of Fractions is 6/145080.Finally, GCF of Fractions for 1908/936, 9114/465 is 6/145080.