GCF of 5418/314, 9162/2520
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5418/314, 9162/2520 i.e 18/395640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5418/314, 9162/2520.
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 5418/314,9162/2520?
Given fractions are 5418/314,9162/2520
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 5418/314,9162/2520, numerators are 5418,9162
Denominators are 314,2520
The GCF of 5418,9162 is 18 .
LCM of 314,2520 is 395640.
The greatest common factor of 5418/314,9162/2520 = [GCF of 5418,9162]/[LCM of 314,2520]= 18/395640
Therefore, the GCF of 5418/314,9162/2520 is 18/395640.
To find the highest common factor of 5418,9162, we have to find the factors of both numbers and list the highest common factor.
The factors of 5418 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 43, 63, 86, 126, 129, 258, 301, 387, 602, 774, 903, 1806, 2709, 5418
The factors of 9162 are 1, 2, 3, 6, 9, 18, 509, 1018, 1527, 3054, 4581, 9162
The HCF of 5418,9162 is 18.
Lets's calculate GCF of 5418,9162
| 2 | 5418, 9162 |
| 3 | 2709, 4581 |
| 3 | 903, 1527 |
| 301, 509 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 5418,9162 By Matching Biggest Common Factor Method
Now, list down the factors of 5418
:1,2,3,6,7,9,14,18,21,42,43,63,86,126,129,258,301,387,602,774,903,1806,2709,5418
Now, list down the factors of 9162
:1,2,3,6,9,18,509,1018,1527,3054,4581,9162
Greatest Common Factor
We found the factors 5418,9162 . The biggest common factor number is the GCF number.
So the greatest common factor 5418,9162 is 18.
Lets's calculate LCM of 314,2520
| 2 | 314, 2520 |
| 157, 1260 |
∴ So the LCM of the given numbers is 2 x 157 x 1260 = 395640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/395640
Therefore, the GCF of Fractions 5418/314,9162/2520 is 18/395640
Least Common Multiple of 314,2520 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 314,2520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,2520) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(314,2520) x common factors =2 x 1 = 2
LCM(314,2520) = ( 314 × 2520 ) / 2
LCM(314,2520) = 791280 / 2
LCM(314,2520) = 395640
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FAQs on GCF of Fractions of 5418/314, 9162/2520
1. What is the HCF of 5418,9162?
The HCF of 5418,9162 is 18
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 5418/314, 9162/2520?
Answer: GCF of Numerators as per given numbers 5418/314, 9162/2520 is
GCF of Numerators i.e. for 5418,9162 is 18
LCM of denominators i.e. for 314,2520 is 395640.
Thus, GCF of Fractions is 18/395640.Finally, GCF of Fractions for 5418/314, 9162/2520 is 18/395640.