GCF of 5848/164, 3072/6631
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5848/164, 3072/6631 i.e 8/1087484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5848/164, 3072/6631.
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 5848/164,3072/6631?
Given fractions are 5848/164,3072/6631
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 5848/164,3072/6631, numerators are 5848,3072
Denominators are 164,6631
The GCF of 5848,3072 is 8 .
LCM of 164,6631 is 1087484.
The greatest common factor of 5848/164,3072/6631 = [GCF of 5848,3072]/[LCM of 164,6631]= 8/1087484
Therefore, the GCF of 5848/164,3072/6631 is 8/1087484.
To find the highest common factor of 5848,3072, we have to find the factors of both numbers and list the highest common factor.
The factors of 5848 are 1, 2, 4, 8, 17, 34, 43, 68, 86, 136, 172, 344, 731, 1462, 2924, 5848
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 HCF of 5848,3072 is 8.
Lets's calculate GCF of 5848,3072
| 2 | 5848, 3072 |
| 2 | 2924, 1536 |
| 2 | 1462, 768 |
| 731, 384 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5848,3072 By Matching Biggest Common Factor Method
Now, list down the factors of 5848
:1,2,4,8,17,34,43,68,86,136,172,344,731,1462,2924,5848
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
Greatest Common Factor
We found the factors 5848,3072 . The biggest common factor number is the GCF number.
So the greatest common factor 5848,3072 is 8.
Lets's calculate LCM of 164,6631
Given numbers has no common factors except 1. So, there LCM is their product i.e 1087484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1087484
Therefore, the GCF of Fractions 5848/164,3072/6631 is 8/1087484
Least Common Multiple of 164,6631 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 164,6631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,6631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(164,6631) x common factors =1 x 1 = 1
LCM(164,6631) = ( 164 × 6631 ) / 1
LCM(164,6631) = 1087484 / 1
LCM(164,6631) = 1087484
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FAQs on GCF of Fractions of 5848/164, 3072/6631
1. What is the HCF of 5848,3072?
The HCF of 5848,3072 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 5848/164, 3072/6631?
Answer: GCF of Numerators as per given numbers 5848/164, 3072/6631 is
GCF of Numerators i.e. for 5848,3072 is 8
LCM of denominators i.e. for 164,6631 is 1087484.
Thus, GCF of Fractions is 8/1087484.Finally, GCF of Fractions for 5848/164, 3072/6631 is 8/1087484.