GCF of 1176/74, 3840/675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1176/74, 3840/675 i.e 24/49950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1176/74, 3840/675.
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 1176/74,3840/675?
Given fractions are 1176/74,3840/675
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 1176/74,3840/675, numerators are 1176,3840
Denominators are 74,675
The GCF of 1176,3840 is 24 .
LCM of 74,675 is 49950.
The greatest common factor of 1176/74,3840/675 = [GCF of 1176,3840]/[LCM of 74,675]= 24/49950
Therefore, the GCF of 1176/74,3840/675 is 24/49950.
To find the highest common factor of 1176,3840, we have to find the factors of both numbers and list the highest common factor.
The factors of 1176 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 392, 588, 1176
The factors of 3840 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, 640, 768, 960, 1280, 1920, 3840
The HCF of 1176,3840 is 24.
Lets's calculate GCF of 1176,3840
| 2 | 1176, 3840 |
| 2 | 588, 1920 |
| 2 | 294, 960 |
| 3 | 147, 480 |
| 49, 160 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 1176,3840 By Matching Biggest Common Factor Method
Now, list down the factors of 1176
:1,2,3,4,6,7,8,12,14,21,24,28,42,49,56,84,98,147,168,196,294,392,588,1176
Now, list down the factors of 3840
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,640,768,960,1280,1920,3840
Greatest Common Factor
We found the factors 1176,3840 . The biggest common factor number is the GCF number.
So the greatest common factor 1176,3840 is 24.
Lets's calculate LCM of 74,675
Given numbers has no common factors except 1. So, there LCM is their product i.e 49950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/49950
Therefore, the GCF of Fractions 1176/74,3840/675 is 24/49950
Least Common Multiple of 74,675 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 74,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,675) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,675) x common factors =1 x 1 = 1
LCM(74,675) = ( 74 × 675 ) / 1
LCM(74,675) = 49950 / 1
LCM(74,675) = 49950
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1176/74, 3840/675
1. What is the HCF of 1176,3840?
The HCF of 1176,3840 is 24
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 1176/74, 3840/675?
Answer: GCF of Numerators as per given numbers 1176/74, 3840/675 is
GCF of Numerators i.e. for 1176,3840 is 24
LCM of denominators i.e. for 74,675 is 49950.
Thus, GCF of Fractions is 24/49950.Finally, GCF of Fractions for 1176/74, 3840/675 is 24/49950.