GCF of 2042/174, 4220/2364
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2042/174, 4220/2364 i.e 2/68556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2042/174, 4220/2364.
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 2042/174,4220/2364?
Given fractions are 2042/174,4220/2364
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 2042/174,4220/2364, numerators are 2042,4220
Denominators are 174,2364
The GCF of 2042,4220 is 2 .
LCM of 174,2364 is 68556.
The greatest common factor of 2042/174,4220/2364 = [GCF of 2042,4220]/[LCM of 174,2364]= 2/68556
Therefore, the GCF of 2042/174,4220/2364 is 2/68556.
To find the highest common factor of 2042,4220, we have to find the factors of both numbers and list the highest common factor.
The factors of 2042 are 1, 2, 1021, 2042
The factors of 4220 are 1, 2, 4, 5, 10, 20, 211, 422, 844, 1055, 2110, 4220
The HCF of 2042,4220 is 2.
Lets's calculate GCF of 2042,4220
| 2 | 2042, 4220 |
| 1021, 2110 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2042,4220 By Matching Biggest Common Factor Method
Now, list down the factors of 2042
:1,2,1021,2042
Now, list down the factors of 4220
:1,2,4,5,10,20,211,422,844,1055,2110,4220
Greatest Common Factor
We found the factors 2042,4220 . The biggest common factor number is the GCF number.
So the greatest common factor 2042,4220 is 2.
Lets's calculate LCM of 174,2364
| 2 | 174, 2364 |
| 3 | 87, 1182 |
| 29, 394 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 394 = 68556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/68556
Therefore, the GCF of Fractions 2042/174,4220/2364 is 2/68556
Least Common Multiple of 174,2364 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 174,2364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,2364) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(174,2364) x common factors =6 x 1 = 6
LCM(174,2364) = ( 174 × 2364 ) / 6
LCM(174,2364) = 411336 / 6
LCM(174,2364) = 68556
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FAQs on GCF of Fractions of 2042/174, 4220/2364
1. What is the HCF of 2042,4220?
The HCF of 2042,4220 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 2042/174, 4220/2364?
Answer: GCF of Numerators as per given numbers 2042/174, 4220/2364 is
GCF of Numerators i.e. for 2042,4220 is 2
LCM of denominators i.e. for 174,2364 is 68556.
Thus, GCF of Fractions is 2/68556.Finally, GCF of Fractions for 2042/174, 4220/2364 is 2/68556.