GCF of 7211/204, 4338/3674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7211/204, 4338/3674 i.e 1/374748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7211/204, 4338/3674.
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 7211/204,4338/3674?
Given fractions are 7211/204,4338/3674
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 7211/204,4338/3674, numerators are 7211,4338
Denominators are 204,3674
The GCF of 7211,4338 is 1 .
LCM of 204,3674 is 374748.
The greatest common factor of 7211/204,4338/3674 = [GCF of 7211,4338]/[LCM of 204,3674]= 1/374748
Therefore, the GCF of 7211/204,4338/3674 is 1/374748.
To find the highest common factor of 7211,4338, we have to find the factors of both numbers and list the highest common factor.
The factors of 7211 are 1, 7211
The factors of 4338 are 1, 2, 3, 6, 9, 18, 241, 482, 723, 1446, 2169, 4338
The HCF of 7211,4338 is 1.
Lets's calculate GCF of 7211,4338
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7211,4338 By Matching Biggest Common Factor Method
Now, list down the factors of 7211
:1,7211
Now, list down the factors of 4338
:1,2,3,6,9,18,241,482,723,1446,2169,4338
Greatest Common Factor
We found the factors 7211,4338 . The biggest common factor number is the GCF number.
So the greatest common factor 7211,4338 is 1.
Lets's calculate LCM of 204,3674
| 2 | 204, 3674 |
| 102, 1837 |
∴ So the LCM of the given numbers is 2 x 102 x 1837 = 374748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/374748
Therefore, the GCF of Fractions 7211/204,4338/3674 is 1/374748
Least Common Multiple of 204,3674 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 204,3674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,3674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(204,3674) x common factors =2 x 1 = 2
LCM(204,3674) = ( 204 × 3674 ) / 2
LCM(204,3674) = 749496 / 2
LCM(204,3674) = 374748
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FAQs on GCF of Fractions of 7211/204, 4338/3674
1. What is the HCF of 7211,4338?
The HCF of 7211,4338 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 7211/204, 4338/3674?
Answer: GCF of Numerators as per given numbers 7211/204, 4338/3674 is
GCF of Numerators i.e. for 7211,4338 is 1
LCM of denominators i.e. for 204,3674 is 374748.
Thus, GCF of Fractions is 1/374748.Finally, GCF of Fractions for 7211/204, 4338/3674 is 1/374748.