GCF of 1418/165, 1638/8925
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1418/165, 1638/8925 i.e 2/98175 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1418/165, 1638/8925.
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 1418/165,1638/8925?
Given fractions are 1418/165,1638/8925
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 1418/165,1638/8925, numerators are 1418,1638
Denominators are 165,8925
The GCF of 1418,1638 is 2 .
LCM of 165,8925 is 98175.
The greatest common factor of 1418/165,1638/8925 = [GCF of 1418,1638]/[LCM of 165,8925]= 2/98175
Therefore, the GCF of 1418/165,1638/8925 is 2/98175.
To find the highest common factor of 1418,1638, we have to find the factors of both numbers and list the highest common factor.
The factors of 1418 are 1, 2, 709, 1418
The factors of 1638 are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 63, 78, 91, 117, 126, 182, 234, 273, 546, 819, 1638
The HCF of 1418,1638 is 2.
Lets's calculate GCF of 1418,1638
| 2 | 1418, 1638 |
| 709, 819 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1418,1638 By Matching Biggest Common Factor Method
Now, list down the factors of 1418
:1,2,709,1418
Now, list down the factors of 1638
:1,2,3,6,7,9,13,14,18,21,26,39,42,63,78,91,117,126,182,234,273,546,819,1638
Greatest Common Factor
We found the factors 1418,1638 . The biggest common factor number is the GCF number.
So the greatest common factor 1418,1638 is 2.
Lets's calculate LCM of 165,8925
| 3 | 165, 8925 |
| 5 | 55, 2975 |
| 11, 595 |
∴ So the LCM of the given numbers is 3 x 5 x 11 x 595 = 98175
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/98175
Therefore, the GCF of Fractions 1418/165,1638/8925 is 2/98175
Least Common Multiple of 165,8925 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 165,8925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,8925) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(165,8925) x common factors =15 x 1 = 15
LCM(165,8925) = ( 165 × 8925 ) / 15
LCM(165,8925) = 1472625 / 15
LCM(165,8925) = 98175
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FAQs on GCF of Fractions of 1418/165, 1638/8925
1. What is the HCF of 1418,1638?
The HCF of 1418,1638 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 1418/165, 1638/8925?
Answer: GCF of Numerators as per given numbers 1418/165, 1638/8925 is
GCF of Numerators i.e. for 1418,1638 is 2
LCM of denominators i.e. for 165,8925 is 98175.
Thus, GCF of Fractions is 2/98175.Finally, GCF of Fractions for 1418/165, 1638/8925 is 2/98175.