GCF of 4034/287, 5450/246
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4034/287, 5450/246 i.e 2/1722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4034/287, 5450/246.
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 4034/287,5450/246?
Given fractions are 4034/287,5450/246
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 4034/287,5450/246, numerators are 4034,5450
Denominators are 287,246
The GCF of 4034,5450 is 2 .
LCM of 287,246 is 1722.
The greatest common factor of 4034/287,5450/246 = [GCF of 4034,5450]/[LCM of 287,246]= 2/1722
Therefore, the GCF of 4034/287,5450/246 is 2/1722.
To find the highest common factor of 4034,5450, we have to find the factors of both numbers and list the highest common factor.
The factors of 4034 are 1, 2, 2017, 4034
The factors of 5450 are 1, 2, 5, 10, 25, 50, 109, 218, 545, 1090, 2725, 5450
The HCF of 4034,5450 is 2.
Lets's calculate GCF of 4034,5450
| 2 | 4034, 5450 |
| 2017, 2725 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4034,5450 By Matching Biggest Common Factor Method
Now, list down the factors of 4034
:1,2,2017,4034
Now, list down the factors of 5450
:1,2,5,10,25,50,109,218,545,1090,2725,5450
Greatest Common Factor
We found the factors 4034,5450 . The biggest common factor number is the GCF number.
So the greatest common factor 4034,5450 is 2.
Lets's calculate LCM of 287,246
| 41 | 287, 246 |
| 7, 6 |
∴ So the LCM of the given numbers is 41 x 7 x 6 = 1722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1722
Therefore, the GCF of Fractions 4034/287,5450/246 is 2/1722
Least Common Multiple of 287,246 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 287,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,246) = 41
common factors(in case of two or more numbers have common factors) = 1
GCF(287,246) x common factors =41 x 1 = 41
LCM(287,246) = ( 287 × 246 ) / 41
LCM(287,246) = 70602 / 41
LCM(287,246) = 1722
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FAQs on GCF of Fractions of 4034/287, 5450/246
1. What is the HCF of 4034,5450?
The HCF of 4034,5450 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 4034/287, 5450/246?
Answer: GCF of Numerators as per given numbers 4034/287, 5450/246 is
GCF of Numerators i.e. for 4034,5450 is 2
LCM of denominators i.e. for 287,246 is 1722.
Thus, GCF of Fractions is 2/1722.Finally, GCF of Fractions for 4034/287, 5450/246 is 2/1722.