GCF of 4120/174, 3449/778
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4120/174, 3449/778 i.e 1/67686 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4120/174, 3449/778.
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 4120/174,3449/778?
Given fractions are 4120/174,3449/778
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 4120/174,3449/778, numerators are 4120,3449
Denominators are 174,778
The GCF of 4120,3449 is 1 .
LCM of 174,778 is 67686.
The greatest common factor of 4120/174,3449/778 = [GCF of 4120,3449]/[LCM of 174,778]= 1/67686
Therefore, the GCF of 4120/174,3449/778 is 1/67686.
To find the highest common factor of 4120,3449, we have to find the factors of both numbers and list the highest common factor.
The factors of 4120 are 1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120
The factors of 3449 are 1, 3449
The HCF of 4120,3449 is 1.
Lets's calculate GCF of 4120,3449
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4120,3449 By Matching Biggest Common Factor Method
Now, list down the factors of 4120
:1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120
Now, list down the factors of 3449
:1,3449
Greatest Common Factor
We found the factors 4120,3449 . The biggest common factor number is the GCF number.
So the greatest common factor 4120,3449 is 1.
Lets's calculate LCM of 174,778
| 2 | 174, 778 |
| 87, 389 |
∴ So the LCM of the given numbers is 2 x 87 x 389 = 67686
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67686
Therefore, the GCF of Fractions 4120/174,3449/778 is 1/67686
Least Common Multiple of 174,778 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 174,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,778) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(174,778) x common factors =2 x 1 = 2
LCM(174,778) = ( 174 × 778 ) / 2
LCM(174,778) = 135372 / 2
LCM(174,778) = 67686
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FAQs on GCF of Fractions of 4120/174, 3449/778
1. What is the HCF of 4120,3449?
The HCF of 4120,3449 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 4120/174, 3449/778?
Answer: GCF of Numerators as per given numbers 4120/174, 3449/778 is
GCF of Numerators i.e. for 4120,3449 is 1
LCM of denominators i.e. for 174,778 is 67686.
Thus, GCF of Fractions is 1/67686.Finally, GCF of Fractions for 4120/174, 3449/778 is 1/67686.