GCF of 4416/170, 4674/3752
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4416/170, 4674/3752 i.e 6/318920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4416/170, 4674/3752.
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 4416/170,4674/3752?
Given fractions are 4416/170,4674/3752
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 4416/170,4674/3752, numerators are 4416,4674
Denominators are 170,3752
The GCF of 4416,4674 is 6 .
LCM of 170,3752 is 318920.
The greatest common factor of 4416/170,4674/3752 = [GCF of 4416,4674]/[LCM of 170,3752]= 6/318920
Therefore, the GCF of 4416/170,4674/3752 is 6/318920.
To find the highest common factor of 4416,4674, we have to find the factors of both numbers and list the highest common factor.
The factors of 4416 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 138, 184, 192, 276, 368, 552, 736, 1104, 1472, 2208, 4416
The factors of 4674 are 1, 2, 3, 6, 19, 38, 41, 57, 82, 114, 123, 246, 779, 1558, 2337, 4674
The HCF of 4416,4674 is 6.
Lets's calculate GCF of 4416,4674
| 2 | 4416, 4674 |
| 3 | 2208, 2337 |
| 736, 779 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4416,4674 By Matching Biggest Common Factor Method
Now, list down the factors of 4416
:1,2,3,4,6,8,12,16,23,24,32,46,48,64,69,92,96,138,184,192,276,368,552,736,1104,1472,2208,4416
Now, list down the factors of 4674
:1,2,3,6,19,38,41,57,82,114,123,246,779,1558,2337,4674
Greatest Common Factor
We found the factors 4416,4674 . The biggest common factor number is the GCF number.
So the greatest common factor 4416,4674 is 6.
Lets's calculate LCM of 170,3752
| 2 | 170, 3752 |
| 85, 1876 |
∴ So the LCM of the given numbers is 2 x 85 x 1876 = 318920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/318920
Therefore, the GCF of Fractions 4416/170,4674/3752 is 6/318920
Least Common Multiple of 170,3752 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 170,3752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,3752) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(170,3752) x common factors =2 x 1 = 2
LCM(170,3752) = ( 170 × 3752 ) / 2
LCM(170,3752) = 637840 / 2
LCM(170,3752) = 318920
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4416/170, 4674/3752
1. What is the HCF of 4416,4674?
The HCF of 4416,4674 is 6
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 4416/170, 4674/3752?
Answer: GCF of Numerators as per given numbers 4416/170, 4674/3752 is
GCF of Numerators i.e. for 4416,4674 is 6
LCM of denominators i.e. for 170,3752 is 318920.
Thus, GCF of Fractions is 6/318920.Finally, GCF of Fractions for 4416/170, 4674/3752 is 6/318920.