GCF of 2234/200, 7044/4101
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2234/200, 7044/4101 i.e 2/820200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2234/200, 7044/4101.
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 2234/200,7044/4101?
Given fractions are 2234/200,7044/4101
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 2234/200,7044/4101, numerators are 2234,7044
Denominators are 200,4101
The GCF of 2234,7044 is 2 .
LCM of 200,4101 is 820200.
The greatest common factor of 2234/200,7044/4101 = [GCF of 2234,7044]/[LCM of 200,4101]= 2/820200
Therefore, the GCF of 2234/200,7044/4101 is 2/820200.
To find the highest common factor of 2234,7044, we have to find the factors of both numbers and list the highest common factor.
The factors of 2234 are 1, 2, 1117, 2234
The factors of 7044 are 1, 2, 3, 4, 6, 12, 587, 1174, 1761, 2348, 3522, 7044
The HCF of 2234,7044 is 2.
Lets's calculate GCF of 2234,7044
| 2 | 2234, 7044 |
| 1117, 3522 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2234,7044 By Matching Biggest Common Factor Method
Now, list down the factors of 2234
:1,2,1117,2234
Now, list down the factors of 7044
:1,2,3,4,6,12,587,1174,1761,2348,3522,7044
Greatest Common Factor
We found the factors 2234,7044 . The biggest common factor number is the GCF number.
So the greatest common factor 2234,7044 is 2.
Lets's calculate LCM of 200,4101
Given numbers has no common factors except 1. So, there LCM is their product i.e 820200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/820200
Therefore, the GCF of Fractions 2234/200,7044/4101 is 2/820200
Least Common Multiple of 200,4101 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 200,4101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,4101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(200,4101) x common factors =1 x 1 = 1
LCM(200,4101) = ( 200 × 4101 ) / 1
LCM(200,4101) = 820200 / 1
LCM(200,4101) = 820200
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FAQs on GCF of Fractions of 2234/200, 7044/4101
1. What is the HCF of 2234,7044?
The HCF of 2234,7044 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 2234/200, 7044/4101?
Answer: GCF of Numerators as per given numbers 2234/200, 7044/4101 is
GCF of Numerators i.e. for 2234,7044 is 2
LCM of denominators i.e. for 200,4101 is 820200.
Thus, GCF of Fractions is 2/820200.Finally, GCF of Fractions for 2234/200, 7044/4101 is 2/820200.