GCF of 3758/912, 9200/3689
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3758/912, 9200/3689 i.e 2/3364368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3758/912, 9200/3689.
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 3758/912,9200/3689?
Given fractions are 3758/912,9200/3689
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 3758/912,9200/3689, numerators are 3758,9200
Denominators are 912,3689
The GCF of 3758,9200 is 2 .
LCM of 912,3689 is 3364368.
The greatest common factor of 3758/912,9200/3689 = [GCF of 3758,9200]/[LCM of 912,3689]= 2/3364368
Therefore, the GCF of 3758/912,9200/3689 is 2/3364368.
To find the highest common factor of 3758,9200, we have to find the factors of both numbers and list the highest common factor.
The factors of 3758 are 1, 2, 1879, 3758
The factors of 9200 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 40, 46, 50, 80, 92, 100, 115, 184, 200, 230, 368, 400, 460, 575, 920, 1150, 1840, 2300, 4600, 9200
The HCF of 3758,9200 is 2.
Lets's calculate GCF of 3758,9200
| 2 | 3758, 9200 |
| 1879, 4600 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3758,9200 By Matching Biggest Common Factor Method
Now, list down the factors of 3758
:1,2,1879,3758
Now, list down the factors of 9200
:1,2,4,5,8,10,16,20,23,25,40,46,50,80,92,100,115,184,200,230,368,400,460,575,920,1150,1840,2300,4600,9200
Greatest Common Factor
We found the factors 3758,9200 . The biggest common factor number is the GCF number.
So the greatest common factor 3758,9200 is 2.
Lets's calculate LCM of 912,3689
Given numbers has no common factors except 1. So, there LCM is their product i.e 3364368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3364368
Therefore, the GCF of Fractions 3758/912,9200/3689 is 2/3364368
Least Common Multiple of 912,3689 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 912,3689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,3689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(912,3689) x common factors =1 x 1 = 1
LCM(912,3689) = ( 912 × 3689 ) / 1
LCM(912,3689) = 3364368 / 1
LCM(912,3689) = 3364368
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3758/912, 9200/3689
1. What is the HCF of 3758,9200?
The HCF of 3758,9200 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 3758/912, 9200/3689?
Answer: GCF of Numerators as per given numbers 3758/912, 9200/3689 is
GCF of Numerators i.e. for 3758,9200 is 2
LCM of denominators i.e. for 912,3689 is 3364368.
Thus, GCF of Fractions is 2/3364368.Finally, GCF of Fractions for 3758/912, 9200/3689 is 2/3364368.