GCF of 3568/411, 2660/3564
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3568/411, 2660/3564 i.e 4/488268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3568/411, 2660/3564.
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 3568/411,2660/3564?
Given fractions are 3568/411,2660/3564
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 3568/411,2660/3564, numerators are 3568,2660
Denominators are 411,3564
The GCF of 3568,2660 is 4 .
LCM of 411,3564 is 488268.
The greatest common factor of 3568/411,2660/3564 = [GCF of 3568,2660]/[LCM of 411,3564]= 4/488268
Therefore, the GCF of 3568/411,2660/3564 is 4/488268.
To find the highest common factor of 3568,2660, we have to find the factors of both numbers and list the highest common factor.
The factors of 3568 are 1, 2, 4, 8, 16, 223, 446, 892, 1784, 3568
The factors of 2660 are 1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38, 70, 76, 95, 133, 140, 190, 266, 380, 532, 665, 1330, 2660
The HCF of 3568,2660 is 4.
Lets's calculate GCF of 3568,2660
| 2 | 3568, 2660 |
| 2 | 1784, 1330 |
| 892, 665 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3568,2660 By Matching Biggest Common Factor Method
Now, list down the factors of 3568
:1,2,4,8,16,223,446,892,1784,3568
Now, list down the factors of 2660
:1,2,4,5,7,10,14,19,20,28,35,38,70,76,95,133,140,190,266,380,532,665,1330,2660
Greatest Common Factor
We found the factors 3568,2660 . The biggest common factor number is the GCF number.
So the greatest common factor 3568,2660 is 4.
Lets's calculate LCM of 411,3564
| 3 | 411, 3564 |
| 137, 1188 |
∴ So the LCM of the given numbers is 3 x 137 x 1188 = 488268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/488268
Therefore, the GCF of Fractions 3568/411,2660/3564 is 4/488268
Least Common Multiple of 411,3564 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 411,3564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(411,3564) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(411,3564) x common factors =3 x 1 = 3
LCM(411,3564) = ( 411 × 3564 ) / 3
LCM(411,3564) = 1464804 / 3
LCM(411,3564) = 488268
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FAQs on GCF of Fractions of 3568/411, 2660/3564
1. What is the HCF of 3568,2660?
The HCF of 3568,2660 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 3568/411, 2660/3564?
Answer: GCF of Numerators as per given numbers 3568/411, 2660/3564 is
GCF of Numerators i.e. for 3568,2660 is 4
LCM of denominators i.e. for 411,3564 is 488268.
Thus, GCF of Fractions is 4/488268.Finally, GCF of Fractions for 3568/411, 2660/3564 is 4/488268.