GCF of 3796/605, 7680/7517
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3796/605, 7680/7517 i.e 4/4547785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3796/605, 7680/7517.
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 3796/605,7680/7517?
Given fractions are 3796/605,7680/7517
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 3796/605,7680/7517, numerators are 3796,7680
Denominators are 605,7517
The GCF of 3796,7680 is 4 .
LCM of 605,7517 is 4547785.
The greatest common factor of 3796/605,7680/7517 = [GCF of 3796,7680]/[LCM of 605,7517]= 4/4547785
Therefore, the GCF of 3796/605,7680/7517 is 4/4547785.
To find the highest common factor of 3796,7680, we have to find the factors of both numbers and list the highest common factor.
The factors of 3796 are 1, 2, 4, 13, 26, 52, 73, 146, 292, 949, 1898, 3796
The factors of 7680 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680
The HCF of 3796,7680 is 4.
Lets's calculate GCF of 3796,7680
| 2 | 3796, 7680 |
| 2 | 1898, 3840 |
| 949, 1920 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3796,7680 By Matching Biggest Common Factor Method
Now, list down the factors of 3796
:1,2,4,13,26,52,73,146,292,949,1898,3796
Now, list down the factors of 7680
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,512,640,768,960,1280,1536,1920,2560,3840,7680
Greatest Common Factor
We found the factors 3796,7680 . The biggest common factor number is the GCF number.
So the greatest common factor 3796,7680 is 4.
Lets's calculate LCM of 605,7517
Given numbers has no common factors except 1. So, there LCM is their product i.e 4547785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4547785
Therefore, the GCF of Fractions 3796/605,7680/7517 is 4/4547785
Least Common Multiple of 605,7517 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 605,7517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,7517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,7517) x common factors =1 x 1 = 1
LCM(605,7517) = ( 605 × 7517 ) / 1
LCM(605,7517) = 4547785 / 1
LCM(605,7517) = 4547785
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3796/605, 7680/7517
1. What is the HCF of 3796,7680?
The HCF of 3796,7680 is 4
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 3796/605, 7680/7517?
Answer: GCF of Numerators as per given numbers 3796/605, 7680/7517 is
GCF of Numerators i.e. for 3796,7680 is 4
LCM of denominators i.e. for 605,7517 is 4547785.
Thus, GCF of Fractions is 4/4547785.Finally, GCF of Fractions for 3796/605, 7680/7517 is 4/4547785.