GCF of 2237/477, 4422/2029
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2237/477, 4422/2029 i.e 1/967833 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2237/477, 4422/2029.
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 2237/477,4422/2029?
Given fractions are 2237/477,4422/2029
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 2237/477,4422/2029, numerators are 2237,4422
Denominators are 477,2029
The GCF of 2237,4422 is 1 .
LCM of 477,2029 is 967833.
The greatest common factor of 2237/477,4422/2029 = [GCF of 2237,4422]/[LCM of 477,2029]= 1/967833
Therefore, the GCF of 2237/477,4422/2029 is 1/967833.
To find the highest common factor of 2237,4422, we have to find the factors of both numbers and list the highest common factor.
The factors of 2237 are 1, 2237
The factors of 4422 are 1, 2, 3, 6, 11, 22, 33, 66, 67, 134, 201, 402, 737, 1474, 2211, 4422
The HCF of 2237,4422 is 1.
Lets's calculate GCF of 2237,4422
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2237,4422 By Matching Biggest Common Factor Method
Now, list down the factors of 2237
:1,2237
Now, list down the factors of 4422
:1,2,3,6,11,22,33,66,67,134,201,402,737,1474,2211,4422
Greatest Common Factor
We found the factors 2237,4422 . The biggest common factor number is the GCF number.
So the greatest common factor 2237,4422 is 1.
Lets's calculate LCM of 477,2029
Given numbers has no common factors except 1. So, there LCM is their product i.e 967833
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/967833
Therefore, the GCF of Fractions 2237/477,4422/2029 is 1/967833
Least Common Multiple of 477,2029 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 477,2029 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,2029) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(477,2029) x common factors =1 x 1 = 1
LCM(477,2029) = ( 477 × 2029 ) / 1
LCM(477,2029) = 967833 / 1
LCM(477,2029) = 967833
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FAQs on GCF of Fractions of 2237/477, 4422/2029
1. What is the HCF of 2237,4422?
The HCF of 2237,4422 is 1
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 2237/477, 4422/2029?
Answer: GCF of Numerators as per given numbers 2237/477, 4422/2029 is
GCF of Numerators i.e. for 2237,4422 is 1
LCM of denominators i.e. for 477,2029 is 967833.
Thus, GCF of Fractions is 1/967833.Finally, GCF of Fractions for 2237/477, 4422/2029 is 1/967833.