GCF of 2242/159, 2124/154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2242/159, 2124/154 i.e 118/24486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2242/159, 2124/154.
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 2242/159,2124/154?
Given fractions are 2242/159,2124/154
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 2242/159,2124/154, numerators are 2242,2124
Denominators are 159,154
The GCF of 2242,2124 is 118 .
LCM of 159,154 is 24486.
The greatest common factor of 2242/159,2124/154 = [GCF of 2242,2124]/[LCM of 159,154]= 118/24486
Therefore, the GCF of 2242/159,2124/154 is 118/24486.
To find the highest common factor of 2242,2124, we have to find the factors of both numbers and list the highest common factor.
The factors of 2242 are 1, 2, 19, 38, 59, 118, 1121, 2242
The factors of 2124 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 59, 118, 177, 236, 354, 531, 708, 1062, 2124
The HCF of 2242,2124 is 118.
Lets's calculate GCF of 2242,2124
| 2 | 2242, 2124 |
| 59 | 1121, 1062 |
| 19, 18 |
∴ So the GCF of the given numbers is 2 x 59 = 118
Greatest Common Factor of 2242,2124 By Matching Biggest Common Factor Method
Now, list down the factors of 2242
:1,2,19,38,59,118,1121,2242
Now, list down the factors of 2124
:1,2,3,4,6,9,12,18,36,59,118,177,236,354,531,708,1062,2124
Greatest Common Factor
We found the factors 2242,2124 . The biggest common factor number is the GCF number.
So the greatest common factor 2242,2124 is 118.
Lets's calculate LCM of 159,154
Given numbers has no common factors except 1. So, there LCM is their product i.e 24486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 118/24486
Therefore, the GCF of Fractions 2242/159,2124/154 is 118/24486
Least Common Multiple of 159,154 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 159,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,154) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,154) x common factors =1 x 1 = 1
LCM(159,154) = ( 159 × 154 ) / 1
LCM(159,154) = 24486 / 1
LCM(159,154) = 24486
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2242/159, 2124/154
1. What is the HCF of 2242,2124?
The HCF of 2242,2124 is 118
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 2242/159, 2124/154?
Answer: GCF of Numerators as per given numbers 2242/159, 2124/154 is
GCF of Numerators i.e. for 2242,2124 is 118
LCM of denominators i.e. for 159,154 is 24486.
Thus, GCF of Fractions is 118/24486.Finally, GCF of Fractions for 2242/159, 2124/154 is 118/24486.