GCF of 2008/740, 8568/132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2008/740, 8568/132 i.e 8/24420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2008/740, 8568/132.
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 2008/740,8568/132?
Given fractions are 2008/740,8568/132
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 2008/740,8568/132, numerators are 2008,8568
Denominators are 740,132
The GCF of 2008,8568 is 8 .
LCM of 740,132 is 24420.
The greatest common factor of 2008/740,8568/132 = [GCF of 2008,8568]/[LCM of 740,132]= 8/24420
Therefore, the GCF of 2008/740,8568/132 is 8/24420.
To find the highest common factor of 2008,8568, we have to find the factors of both numbers and list the highest common factor.
The factors of 2008 are 1, 2, 4, 8, 251, 502, 1004, 2008
The factors of 8568 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 17, 18, 21, 24, 28, 34, 36, 42, 51, 56, 63, 68, 72, 84, 102, 119, 126, 136, 153, 168, 204, 238, 252, 306, 357, 408, 476, 504, 612, 714, 952, 1071, 1224, 1428, 2142, 2856, 4284, 8568
The HCF of 2008,8568 is 8.
Lets's calculate GCF of 2008,8568
| 2 | 2008, 8568 |
| 2 | 1004, 4284 |
| 2 | 502, 2142 |
| 251, 1071 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 2008,8568 By Matching Biggest Common Factor Method
Now, list down the factors of 2008
:1,2,4,8,251,502,1004,2008
Now, list down the factors of 8568
:1,2,3,4,6,7,8,9,12,14,17,18,21,24,28,34,36,42,51,56,63,68,72,84,102,119,126,136,153,168,204,238,252,306,357,408,476,504,612,714,952,1071,1224,1428,2142,2856,4284,8568
Greatest Common Factor
We found the factors 2008,8568 . The biggest common factor number is the GCF number.
So the greatest common factor 2008,8568 is 8.
Lets's calculate LCM of 740,132
| 2 | 740, 132 |
| 2 | 370, 66 |
| 185, 33 |
∴ So the LCM of the given numbers is 2 x 2 x 185 x 33 = 24420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/24420
Therefore, the GCF of Fractions 2008/740,8568/132 is 8/24420
Least Common Multiple of 740,132 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 740,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,132) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(740,132) x common factors =4 x 1 = 4
LCM(740,132) = ( 740 × 132 ) / 4
LCM(740,132) = 97680 / 4
LCM(740,132) = 24420
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FAQs on GCF of Fractions of 2008/740, 8568/132
1. What is the HCF of 2008,8568?
The HCF of 2008,8568 is 8
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 2008/740, 8568/132?
Answer: GCF of Numerators as per given numbers 2008/740, 8568/132 is
GCF of Numerators i.e. for 2008,8568 is 8
LCM of denominators i.e. for 740,132 is 24420.
Thus, GCF of Fractions is 8/24420.Finally, GCF of Fractions for 2008/740, 8568/132 is 8/24420.