GCF of 2982/164, 6454/825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2982/164, 6454/825 i.e 14/135300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2982/164, 6454/825.
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 2982/164,6454/825?
Given fractions are 2982/164,6454/825
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 2982/164,6454/825, numerators are 2982,6454
Denominators are 164,825
The GCF of 2982,6454 is 14 .
LCM of 164,825 is 135300.
The greatest common factor of 2982/164,6454/825 = [GCF of 2982,6454]/[LCM of 164,825]= 14/135300
Therefore, the GCF of 2982/164,6454/825 is 14/135300.
To find the highest common factor of 2982,6454, we have to find the factors of both numbers and list the highest common factor.
The factors of 2982 are 1, 2, 3, 6, 7, 14, 21, 42, 71, 142, 213, 426, 497, 994, 1491, 2982
The factors of 6454 are 1, 2, 7, 14, 461, 922, 3227, 6454
The HCF of 2982,6454 is 14.
Lets's calculate GCF of 2982,6454
| 2 | 2982, 6454 |
| 7 | 1491, 3227 |
| 213, 461 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 2982,6454 By Matching Biggest Common Factor Method
Now, list down the factors of 2982
:1,2,3,6,7,14,21,42,71,142,213,426,497,994,1491,2982
Now, list down the factors of 6454
:1,2,7,14,461,922,3227,6454
Greatest Common Factor
We found the factors 2982,6454 . The biggest common factor number is the GCF number.
So the greatest common factor 2982,6454 is 14.
Lets's calculate LCM of 164,825
Given numbers has no common factors except 1. So, there LCM is their product i.e 135300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/135300
Therefore, the GCF of Fractions 2982/164,6454/825 is 14/135300
Least Common Multiple of 164,825 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 164,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,825) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(164,825) x common factors =1 x 1 = 1
LCM(164,825) = ( 164 × 825 ) / 1
LCM(164,825) = 135300 / 1
LCM(164,825) = 135300
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2982/164, 6454/825
1. What is the HCF of 2982,6454?
The HCF of 2982,6454 is 14
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 2982/164, 6454/825?
Answer: GCF of Numerators as per given numbers 2982/164, 6454/825 is
GCF of Numerators i.e. for 2982,6454 is 14
LCM of denominators i.e. for 164,825 is 135300.
Thus, GCF of Fractions is 14/135300.Finally, GCF of Fractions for 2982/164, 6454/825 is 14/135300.