GCF of 5640/826, 3756/283
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5640/826, 3756/283 i.e 12/233758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5640/826, 3756/283.
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 5640/826,3756/283?
Given fractions are 5640/826,3756/283
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 5640/826,3756/283, numerators are 5640,3756
Denominators are 826,283
The GCF of 5640,3756 is 12 .
LCM of 826,283 is 233758.
The greatest common factor of 5640/826,3756/283 = [GCF of 5640,3756]/[LCM of 826,283]= 12/233758
Therefore, the GCF of 5640/826,3756/283 is 12/233758.
To find the highest common factor of 5640,3756, we have to find the factors of both numbers and list the highest common factor.
The factors of 5640 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 47, 60, 94, 120, 141, 188, 235, 282, 376, 470, 564, 705, 940, 1128, 1410, 1880, 2820, 5640
The factors of 3756 are 1, 2, 3, 4, 6, 12, 313, 626, 939, 1252, 1878, 3756
The HCF of 5640,3756 is 12.
Lets's calculate GCF of 5640,3756
| 2 | 5640, 3756 |
| 2 | 2820, 1878 |
| 3 | 1410, 939 |
| 470, 313 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5640,3756 By Matching Biggest Common Factor Method
Now, list down the factors of 5640
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,47,60,94,120,141,188,235,282,376,470,564,705,940,1128,1410,1880,2820,5640
Now, list down the factors of 3756
:1,2,3,4,6,12,313,626,939,1252,1878,3756
Greatest Common Factor
We found the factors 5640,3756 . The biggest common factor number is the GCF number.
So the greatest common factor 5640,3756 is 12.
Lets's calculate LCM of 826,283
Given numbers has no common factors except 1. So, there LCM is their product i.e 233758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/233758
Therefore, the GCF of Fractions 5640/826,3756/283 is 12/233758
Least Common Multiple of 826,283 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 826,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(826,283) x common factors =1 x 1 = 1
LCM(826,283) = ( 826 × 283 ) / 1
LCM(826,283) = 233758 / 1
LCM(826,283) = 233758
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FAQs on GCF of Fractions of 5640/826, 3756/283
1. What is the HCF of 5640,3756?
The HCF of 5640,3756 is 12
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 5640/826, 3756/283?
Answer: GCF of Numerators as per given numbers 5640/826, 3756/283 is
GCF of Numerators i.e. for 5640,3756 is 12
LCM of denominators i.e. for 826,283 is 233758.
Thus, GCF of Fractions is 12/233758.Finally, GCF of Fractions for 5640/826, 3756/283 is 12/233758.