GCF of 3696/353, 8960/6291
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3696/353, 8960/6291 i.e 112/2220723 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3696/353, 8960/6291.
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 3696/353,8960/6291?
Given fractions are 3696/353,8960/6291
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 3696/353,8960/6291, numerators are 3696,8960
Denominators are 353,6291
The GCF of 3696,8960 is 112 .
LCM of 353,6291 is 2220723.
The greatest common factor of 3696/353,8960/6291 = [GCF of 3696,8960]/[LCM of 353,6291]= 112/2220723
Therefore, the GCF of 3696/353,8960/6291 is 112/2220723.
To find the highest common factor of 3696,8960, we have to find the factors of both numbers and list the highest common factor.
The factors of 3696 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 33, 42, 44, 48, 56, 66, 77, 84, 88, 112, 132, 154, 168, 176, 231, 264, 308, 336, 462, 528, 616, 924, 1232, 1848, 3696
The factors of 8960 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 256, 280, 320, 448, 560, 640, 896, 1120, 1280, 1792, 2240, 4480, 8960
The HCF of 3696,8960 is 112.
Lets's calculate GCF of 3696,8960
| 2 | 3696, 8960 |
| 2 | 1848, 4480 |
| 2 | 924, 2240 |
| 2 | 462, 1120 |
| 7 | 231, 560 |
| 33, 80 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 7 = 112
Greatest Common Factor of 3696,8960 By Matching Biggest Common Factor Method
Now, list down the factors of 3696
:1,2,3,4,6,7,8,11,12,14,16,21,22,24,28,33,42,44,48,56,66,77,84,88,112,132,154,168,176,231,264,308,336,462,528,616,924,1232,1848,3696
Now, list down the factors of 8960
:1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,128,140,160,224,256,280,320,448,560,640,896,1120,1280,1792,2240,4480,8960
Greatest Common Factor
We found the factors 3696,8960 . The biggest common factor number is the GCF number.
So the greatest common factor 3696,8960 is 112.
Lets's calculate LCM of 353,6291
Given numbers has no common factors except 1. So, there LCM is their product i.e 2220723
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 112/2220723
Therefore, the GCF of Fractions 3696/353,8960/6291 is 112/2220723
Least Common Multiple of 353,6291 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 353,6291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,6291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,6291) x common factors =1 x 1 = 1
LCM(353,6291) = ( 353 × 6291 ) / 1
LCM(353,6291) = 2220723 / 1
LCM(353,6291) = 2220723
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FAQs on GCF of Fractions of 3696/353, 8960/6291
1. What is the HCF of 3696,8960?
The HCF of 3696,8960 is 112
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 3696/353, 8960/6291?
Answer: GCF of Numerators as per given numbers 3696/353, 8960/6291 is
GCF of Numerators i.e. for 3696,8960 is 112
LCM of denominators i.e. for 353,6291 is 2220723.
Thus, GCF of Fractions is 112/2220723.Finally, GCF of Fractions for 3696/353, 8960/6291 is 112/2220723.