GCF of 2022/154, 2542/4376
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2022/154, 2542/4376 i.e 2/336952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2022/154, 2542/4376.
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 2022/154,2542/4376?
Given fractions are 2022/154,2542/4376
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 2022/154,2542/4376, numerators are 2022,2542
Denominators are 154,4376
The GCF of 2022,2542 is 2 .
LCM of 154,4376 is 336952.
The greatest common factor of 2022/154,2542/4376 = [GCF of 2022,2542]/[LCM of 154,4376]= 2/336952
Therefore, the GCF of 2022/154,2542/4376 is 2/336952.
To find the highest common factor of 2022,2542, we have to find the factors of both numbers and list the highest common factor.
The factors of 2022 are 1, 2, 3, 6, 337, 674, 1011, 2022
The factors of 2542 are 1, 2, 31, 41, 62, 82, 1271, 2542
The HCF of 2022,2542 is 2.
Lets's calculate GCF of 2022,2542
| 2 | 2022, 2542 |
| 1011, 1271 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2022,2542 By Matching Biggest Common Factor Method
Now, list down the factors of 2022
:1,2,3,6,337,674,1011,2022
Now, list down the factors of 2542
:1,2,31,41,62,82,1271,2542
Greatest Common Factor
We found the factors 2022,2542 . The biggest common factor number is the GCF number.
So the greatest common factor 2022,2542 is 2.
Lets's calculate LCM of 154,4376
| 2 | 154, 4376 |
| 77, 2188 |
∴ So the LCM of the given numbers is 2 x 77 x 2188 = 336952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/336952
Therefore, the GCF of Fractions 2022/154,2542/4376 is 2/336952
Least Common Multiple of 154,4376 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 154,4376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,4376) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(154,4376) x common factors =2 x 1 = 2
LCM(154,4376) = ( 154 × 4376 ) / 2
LCM(154,4376) = 673904 / 2
LCM(154,4376) = 336952
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FAQs on GCF of Fractions of 2022/154, 2542/4376
1. What is the HCF of 2022,2542?
The HCF of 2022,2542 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 2022/154, 2542/4376?
Answer: GCF of Numerators as per given numbers 2022/154, 2542/4376 is
GCF of Numerators i.e. for 2022,2542 is 2
LCM of denominators i.e. for 154,4376 is 336952.
Thus, GCF of Fractions is 2/336952.Finally, GCF of Fractions for 2022/154, 2542/4376 is 2/336952.