GCF of 5748/150, 1128/649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5748/150, 1128/649 i.e 12/97350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5748/150, 1128/649.
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 5748/150,1128/649?
Given fractions are 5748/150,1128/649
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 5748/150,1128/649, numerators are 5748,1128
Denominators are 150,649
The GCF of 5748,1128 is 12 .
LCM of 150,649 is 97350.
The greatest common factor of 5748/150,1128/649 = [GCF of 5748,1128]/[LCM of 150,649]= 12/97350
Therefore, the GCF of 5748/150,1128/649 is 12/97350.
To find the highest common factor of 5748,1128, we have to find the factors of both numbers and list the highest common factor.
The factors of 5748 are 1, 2, 3, 4, 6, 12, 479, 958, 1437, 1916, 2874, 5748
The factors of 1128 are 1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564, 1128
The HCF of 5748,1128 is 12.
Lets's calculate GCF of 5748,1128
| 2 | 5748, 1128 |
| 2 | 2874, 564 |
| 3 | 1437, 282 |
| 479, 94 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5748,1128 By Matching Biggest Common Factor Method
Now, list down the factors of 5748
:1,2,3,4,6,12,479,958,1437,1916,2874,5748
Now, list down the factors of 1128
:1,2,3,4,6,8,12,24,47,94,141,188,282,376,564,1128
Greatest Common Factor
We found the factors 5748,1128 . The biggest common factor number is the GCF number.
So the greatest common factor 5748,1128 is 12.
Lets's calculate LCM of 150,649
Given numbers has no common factors except 1. So, there LCM is their product i.e 97350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/97350
Therefore, the GCF of Fractions 5748/150,1128/649 is 12/97350
Least Common Multiple of 150,649 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 150,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(150,649) x common factors =1 x 1 = 1
LCM(150,649) = ( 150 × 649 ) / 1
LCM(150,649) = 97350 / 1
LCM(150,649) = 97350
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FAQs on GCF of Fractions of 5748/150, 1128/649
1. What is the HCF of 5748,1128?
The HCF of 5748,1128 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 5748/150, 1128/649?
Answer: GCF of Numerators as per given numbers 5748/150, 1128/649 is
GCF of Numerators i.e. for 5748,1128 is 12
LCM of denominators i.e. for 150,649 is 97350.
Thus, GCF of Fractions is 12/97350.Finally, GCF of Fractions for 5748/150, 1128/649 is 12/97350.