GCF of 5806/156, 6624/1028
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5806/156, 6624/1028 i.e 2/40092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5806/156, 6624/1028.
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 5806/156,6624/1028?
Given fractions are 5806/156,6624/1028
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 5806/156,6624/1028, numerators are 5806,6624
Denominators are 156,1028
The GCF of 5806,6624 is 2 .
LCM of 156,1028 is 40092.
The greatest common factor of 5806/156,6624/1028 = [GCF of 5806,6624]/[LCM of 156,1028]= 2/40092
Therefore, the GCF of 5806/156,6624/1028 is 2/40092.
To find the highest common factor of 5806,6624, we have to find the factors of both numbers and list the highest common factor.
The factors of 5806 are 1, 2, 2903, 5806
The factors of 6624 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 69, 72, 92, 96, 138, 144, 184, 207, 276, 288, 368, 414, 552, 736, 828, 1104, 1656, 2208, 3312, 6624
The HCF of 5806,6624 is 2.
Lets's calculate GCF of 5806,6624
| 2 | 5806, 6624 |
| 2903, 3312 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5806,6624 By Matching Biggest Common Factor Method
Now, list down the factors of 5806
:1,2,2903,5806
Now, list down the factors of 6624
:1,2,3,4,6,8,9,12,16,18,23,24,32,36,46,48,69,72,92,96,138,144,184,207,276,288,368,414,552,736,828,1104,1656,2208,3312,6624
Greatest Common Factor
We found the factors 5806,6624 . The biggest common factor number is the GCF number.
So the greatest common factor 5806,6624 is 2.
Lets's calculate LCM of 156,1028
| 2 | 156, 1028 |
| 2 | 78, 514 |
| 39, 257 |
∴ So the LCM of the given numbers is 2 x 2 x 39 x 257 = 40092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40092
Therefore, the GCF of Fractions 5806/156,6624/1028 is 2/40092
Least Common Multiple of 156,1028 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 156,1028 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,1028) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(156,1028) x common factors =4 x 1 = 4
LCM(156,1028) = ( 156 × 1028 ) / 4
LCM(156,1028) = 160368 / 4
LCM(156,1028) = 40092
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FAQs on GCF of Fractions of 5806/156, 6624/1028
1. What is the HCF of 5806,6624?
The HCF of 5806,6624 is 2
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 5806/156, 6624/1028?
Answer: GCF of Numerators as per given numbers 5806/156, 6624/1028 is
GCF of Numerators i.e. for 5806,6624 is 2
LCM of denominators i.e. for 156,1028 is 40092.
Thus, GCF of Fractions is 2/40092.Finally, GCF of Fractions for 5806/156, 6624/1028 is 2/40092.