GCF of 2074/327, 3502/4780
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2074/327, 3502/4780 i.e 34/1563060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2074/327, 3502/4780.
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 2074/327,3502/4780?
Given fractions are 2074/327,3502/4780
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 2074/327,3502/4780, numerators are 2074,3502
Denominators are 327,4780
The GCF of 2074,3502 is 34 .
LCM of 327,4780 is 1563060.
The greatest common factor of 2074/327,3502/4780 = [GCF of 2074,3502]/[LCM of 327,4780]= 34/1563060
Therefore, the GCF of 2074/327,3502/4780 is 34/1563060.
To find the highest common factor of 2074,3502, we have to find the factors of both numbers and list the highest common factor.
The factors of 2074 are 1, 2, 17, 34, 61, 122, 1037, 2074
The factors of 3502 are 1, 2, 17, 34, 103, 206, 1751, 3502
The HCF of 2074,3502 is 34.
Lets's calculate GCF of 2074,3502
| 2 | 2074, 3502 |
| 17 | 1037, 1751 |
| 61, 103 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 2074,3502 By Matching Biggest Common Factor Method
Now, list down the factors of 2074
:1,2,17,34,61,122,1037,2074
Now, list down the factors of 3502
:1,2,17,34,103,206,1751,3502
Greatest Common Factor
We found the factors 2074,3502 . The biggest common factor number is the GCF number.
So the greatest common factor 2074,3502 is 34.
Lets's calculate LCM of 327,4780
Given numbers has no common factors except 1. So, there LCM is their product i.e 1563060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/1563060
Therefore, the GCF of Fractions 2074/327,3502/4780 is 34/1563060
Least Common Multiple of 327,4780 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 327,4780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(327,4780) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(327,4780) x common factors =1 x 1 = 1
LCM(327,4780) = ( 327 × 4780 ) / 1
LCM(327,4780) = 1563060 / 1
LCM(327,4780) = 1563060
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FAQs on GCF of Fractions of 2074/327, 3502/4780
1. What is the HCF of 2074,3502?
The HCF of 2074,3502 is 34
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 2074/327, 3502/4780?
Answer: GCF of Numerators as per given numbers 2074/327, 3502/4780 is
GCF of Numerators i.e. for 2074,3502 is 34
LCM of denominators i.e. for 327,4780 is 1563060.
Thus, GCF of Fractions is 34/1563060.Finally, GCF of Fractions for 2074/327, 3502/4780 is 34/1563060.