GCF of 3072/896, 1692/8562
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3072/896, 1692/8562 i.e 12/3835776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3072/896, 1692/8562.
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 3072/896,1692/8562?
Given fractions are 3072/896,1692/8562
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 3072/896,1692/8562, numerators are 3072,1692
Denominators are 896,8562
The GCF of 3072,1692 is 12 .
LCM of 896,8562 is 3835776.
The greatest common factor of 3072/896,1692/8562 = [GCF of 3072,1692]/[LCM of 896,8562]= 12/3835776
Therefore, the GCF of 3072/896,1692/8562 is 12/3835776.
To find the highest common factor of 3072,1692, we have to find the factors of both numbers and list the highest common factor.
The factors of 3072 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 3072
The factors of 1692 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 94, 141, 188, 282, 423, 564, 846, 1692
The HCF of 3072,1692 is 12.
Lets's calculate GCF of 3072,1692
| 2 | 3072, 1692 |
| 2 | 1536, 846 |
| 3 | 768, 423 |
| 256, 141 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3072,1692 By Matching Biggest Common Factor Method
Now, list down the factors of 3072
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1024,1536,3072
Now, list down the factors of 1692
:1,2,3,4,6,9,12,18,36,47,94,141,188,282,423,564,846,1692
Greatest Common Factor
We found the factors 3072,1692 . The biggest common factor number is the GCF number.
So the greatest common factor 3072,1692 is 12.
Lets's calculate LCM of 896,8562
| 2 | 896, 8562 |
| 448, 4281 |
∴ So the LCM of the given numbers is 2 x 448 x 4281 = 3835776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3835776
Therefore, the GCF of Fractions 3072/896,1692/8562 is 12/3835776
Least Common Multiple of 896,8562 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 896,8562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(896,8562) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(896,8562) x common factors =2 x 1 = 2
LCM(896,8562) = ( 896 × 8562 ) / 2
LCM(896,8562) = 7671552 / 2
LCM(896,8562) = 3835776
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FAQs on GCF of Fractions of 3072/896, 1692/8562
1. What is the HCF of 3072,1692?
The HCF of 3072,1692 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 3072/896, 1692/8562?
Answer: GCF of Numerators as per given numbers 3072/896, 1692/8562 is
GCF of Numerators i.e. for 3072,1692 is 12
LCM of denominators i.e. for 896,8562 is 3835776.
Thus, GCF of Fractions is 12/3835776.Finally, GCF of Fractions for 3072/896, 1692/8562 is 12/3835776.