GCF of 8268/112, 4576/892
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8268/112, 4576/892 i.e 52/24976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8268/112, 4576/892.
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 8268/112,4576/892?
Given fractions are 8268/112,4576/892
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 8268/112,4576/892, numerators are 8268,4576
Denominators are 112,892
The GCF of 8268,4576 is 52 .
LCM of 112,892 is 24976.
The greatest common factor of 8268/112,4576/892 = [GCF of 8268,4576]/[LCM of 112,892]= 52/24976
Therefore, the GCF of 8268/112,4576/892 is 52/24976.
To find the highest common factor of 8268,4576, we have to find the factors of both numbers and list the highest common factor.
The factors of 8268 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 53, 78, 106, 156, 159, 212, 318, 636, 689, 1378, 2067, 2756, 4134, 8268
The factors of 4576 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 88, 104, 143, 176, 208, 286, 352, 416, 572, 1144, 2288, 4576
The HCF of 8268,4576 is 52.
Lets's calculate GCF of 8268,4576
| 2 | 8268, 4576 |
| 2 | 4134, 2288 |
| 13 | 2067, 1144 |
| 159, 88 |
∴ So the GCF of the given numbers is 2 x 2 x 13 = 52
Greatest Common Factor of 8268,4576 By Matching Biggest Common Factor Method
Now, list down the factors of 8268
:1,2,3,4,6,12,13,26,39,52,53,78,106,156,159,212,318,636,689,1378,2067,2756,4134,8268
Now, list down the factors of 4576
:1,2,4,8,11,13,16,22,26,32,44,52,88,104,143,176,208,286,352,416,572,1144,2288,4576
Greatest Common Factor
We found the factors 8268,4576 . The biggest common factor number is the GCF number.
So the greatest common factor 8268,4576 is 52.
Lets's calculate LCM of 112,892
| 2 | 112, 892 |
| 2 | 56, 446 |
| 28, 223 |
∴ So the LCM of the given numbers is 2 x 2 x 28 x 223 = 24976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/24976
Therefore, the GCF of Fractions 8268/112,4576/892 is 52/24976
Least Common Multiple of 112,892 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 112,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,892) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(112,892) x common factors =4 x 1 = 4
LCM(112,892) = ( 112 × 892 ) / 4
LCM(112,892) = 99904 / 4
LCM(112,892) = 24976
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FAQs on GCF of Fractions of 8268/112, 4576/892
1. What is the HCF of 8268,4576?
The HCF of 8268,4576 is 52
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 8268/112, 4576/892?
Answer: GCF of Numerators as per given numbers 8268/112, 4576/892 is
GCF of Numerators i.e. for 8268,4576 is 52
LCM of denominators i.e. for 112,892 is 24976.
Thus, GCF of Fractions is 52/24976.Finally, GCF of Fractions for 8268/112, 4576/892 is 52/24976.