GCF of 3506/471, 2050/417
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3506/471, 2050/417 i.e 2/65469 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3506/471, 2050/417.
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 3506/471,2050/417?
Given fractions are 3506/471,2050/417
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 3506/471,2050/417, numerators are 3506,2050
Denominators are 471,417
The GCF of 3506,2050 is 2 .
LCM of 471,417 is 65469.
The greatest common factor of 3506/471,2050/417 = [GCF of 3506,2050]/[LCM of 471,417]= 2/65469
Therefore, the GCF of 3506/471,2050/417 is 2/65469.
To find the highest common factor of 3506,2050, we have to find the factors of both numbers and list the highest common factor.
The factors of 3506 are 1, 2, 1753, 3506
The factors of 2050 are 1, 2, 5, 10, 25, 41, 50, 82, 205, 410, 1025, 2050
The HCF of 3506,2050 is 2.
Lets's calculate GCF of 3506,2050
| 2 | 3506, 2050 |
| 1753, 1025 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3506,2050 By Matching Biggest Common Factor Method
Now, list down the factors of 3506
:1,2,1753,3506
Now, list down the factors of 2050
:1,2,5,10,25,41,50,82,205,410,1025,2050
Greatest Common Factor
We found the factors 3506,2050 . The biggest common factor number is the GCF number.
So the greatest common factor 3506,2050 is 2.
Lets's calculate LCM of 471,417
| 3 | 471, 417 |
| 157, 139 |
∴ So the LCM of the given numbers is 3 x 157 x 139 = 65469
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/65469
Therefore, the GCF of Fractions 3506/471,2050/417 is 2/65469
Least Common Multiple of 471,417 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 471,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,417) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(471,417) x common factors =3 x 1 = 3
LCM(471,417) = ( 471 × 417 ) / 3
LCM(471,417) = 196407 / 3
LCM(471,417) = 65469
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FAQs on GCF of Fractions of 3506/471, 2050/417
1. What is the HCF of 3506,2050?
The HCF of 3506,2050 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 3506/471, 2050/417?
Answer: GCF of Numerators as per given numbers 3506/471, 2050/417 is
GCF of Numerators i.e. for 3506,2050 is 2
LCM of denominators i.e. for 471,417 is 65469.
Thus, GCF of Fractions is 2/65469.Finally, GCF of Fractions for 3506/471, 2050/417 is 2/65469.