GCF of 9048/127, 5421/6768
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9048/127, 5421/6768 i.e 39/859536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9048/127, 5421/6768.
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 9048/127,5421/6768?
Given fractions are 9048/127,5421/6768
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 9048/127,5421/6768, numerators are 9048,5421
Denominators are 127,6768
The GCF of 9048,5421 is 39 .
LCM of 127,6768 is 859536.
The greatest common factor of 9048/127,5421/6768 = [GCF of 9048,5421]/[LCM of 127,6768]= 39/859536
Therefore, the GCF of 9048/127,5421/6768 is 39/859536.
To find the highest common factor of 9048,5421, we have to find the factors of both numbers and list the highest common factor.
The factors of 9048 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 29, 39, 52, 58, 78, 87, 104, 116, 156, 174, 232, 312, 348, 377, 696, 754, 1131, 1508, 2262, 3016, 4524, 9048
The factors of 5421 are 1, 3, 13, 39, 139, 417, 1807, 5421
The HCF of 9048,5421 is 39.
Lets's calculate GCF of 9048,5421
| 3 | 9048, 5421 |
| 13 | 3016, 1807 |
| 232, 139 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Greatest Common Factor of 9048,5421 By Matching Biggest Common Factor Method
Now, list down the factors of 9048
:1,2,3,4,6,8,12,13,24,26,29,39,52,58,78,87,104,116,156,174,232,312,348,377,696,754,1131,1508,2262,3016,4524,9048
Now, list down the factors of 5421
:1,3,13,39,139,417,1807,5421
Greatest Common Factor
We found the factors 9048,5421 . The biggest common factor number is the GCF number.
So the greatest common factor 9048,5421 is 39.
Lets's calculate LCM of 127,6768
Given numbers has no common factors except 1. So, there LCM is their product i.e 859536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/859536
Therefore, the GCF of Fractions 9048/127,5421/6768 is 39/859536
Least Common Multiple of 127,6768 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 127,6768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,6768) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,6768) x common factors =1 x 1 = 1
LCM(127,6768) = ( 127 × 6768 ) / 1
LCM(127,6768) = 859536 / 1
LCM(127,6768) = 859536
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FAQs on GCF of Fractions of 9048/127, 5421/6768
1. What is the HCF of 9048,5421?
The HCF of 9048,5421 is 39
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 9048/127, 5421/6768?
Answer: GCF of Numerators as per given numbers 9048/127, 5421/6768 is
GCF of Numerators i.e. for 9048,5421 is 39
LCM of denominators i.e. for 127,6768 is 859536.
Thus, GCF of Fractions is 39/859536.Finally, GCF of Fractions for 9048/127, 5421/6768 is 39/859536.