GCF of 4450/814, 3774/5277
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4450/814, 3774/5277 i.e 2/4295478 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4450/814, 3774/5277.
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 4450/814,3774/5277?
Given fractions are 4450/814,3774/5277
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 4450/814,3774/5277, numerators are 4450,3774
Denominators are 814,5277
The GCF of 4450,3774 is 2 .
LCM of 814,5277 is 4295478.
The greatest common factor of 4450/814,3774/5277 = [GCF of 4450,3774]/[LCM of 814,5277]= 2/4295478
Therefore, the GCF of 4450/814,3774/5277 is 2/4295478.
To find the highest common factor of 4450,3774, we have to find the factors of both numbers and list the highest common factor.
The factors of 4450 are 1, 2, 5, 10, 25, 50, 89, 178, 445, 890, 2225, 4450
The factors of 3774 are 1, 2, 3, 6, 17, 34, 37, 51, 74, 102, 111, 222, 629, 1258, 1887, 3774
The HCF of 4450,3774 is 2.
Lets's calculate GCF of 4450,3774
| 2 | 4450, 3774 |
| 2225, 1887 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4450,3774 By Matching Biggest Common Factor Method
Now, list down the factors of 4450
:1,2,5,10,25,50,89,178,445,890,2225,4450
Now, list down the factors of 3774
:1,2,3,6,17,34,37,51,74,102,111,222,629,1258,1887,3774
Greatest Common Factor
We found the factors 4450,3774 . The biggest common factor number is the GCF number.
So the greatest common factor 4450,3774 is 2.
Lets's calculate LCM of 814,5277
Given numbers has no common factors except 1. So, there LCM is their product i.e 4295478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4295478
Therefore, the GCF of Fractions 4450/814,3774/5277 is 2/4295478
Least Common Multiple of 814,5277 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 814,5277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,5277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(814,5277) x common factors =1 x 1 = 1
LCM(814,5277) = ( 814 × 5277 ) / 1
LCM(814,5277) = 4295478 / 1
LCM(814,5277) = 4295478
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FAQs on GCF of Fractions of 4450/814, 3774/5277
1. What is the HCF of 4450,3774?
The HCF of 4450,3774 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 4450/814, 3774/5277?
Answer: GCF of Numerators as per given numbers 4450/814, 3774/5277 is
GCF of Numerators i.e. for 4450,3774 is 2
LCM of denominators i.e. for 814,5277 is 4295478.
Thus, GCF of Fractions is 2/4295478.Finally, GCF of Fractions for 4450/814, 3774/5277 is 2/4295478.