GCF of 6516/156, 6846/5782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6516/156, 6846/5782 i.e 6/450996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6516/156, 6846/5782.
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 6516/156,6846/5782?
Given fractions are 6516/156,6846/5782
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 6516/156,6846/5782, numerators are 6516,6846
Denominators are 156,5782
The GCF of 6516,6846 is 6 .
LCM of 156,5782 is 450996.
The greatest common factor of 6516/156,6846/5782 = [GCF of 6516,6846]/[LCM of 156,5782]= 6/450996
Therefore, the GCF of 6516/156,6846/5782 is 6/450996.
To find the highest common factor of 6516,6846, we have to find the factors of both numbers and list the highest common factor.
The factors of 6516 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 181, 362, 543, 724, 1086, 1629, 2172, 3258, 6516
The factors of 6846 are 1, 2, 3, 6, 7, 14, 21, 42, 163, 326, 489, 978, 1141, 2282, 3423, 6846
The HCF of 6516,6846 is 6.
Lets's calculate GCF of 6516,6846
| 2 | 6516, 6846 |
| 3 | 3258, 3423 |
| 1086, 1141 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6516,6846 By Matching Biggest Common Factor Method
Now, list down the factors of 6516
:1,2,3,4,6,9,12,18,36,181,362,543,724,1086,1629,2172,3258,6516
Now, list down the factors of 6846
:1,2,3,6,7,14,21,42,163,326,489,978,1141,2282,3423,6846
Greatest Common Factor
We found the factors 6516,6846 . The biggest common factor number is the GCF number.
So the greatest common factor 6516,6846 is 6.
Lets's calculate LCM of 156,5782
| 2 | 156, 5782 |
| 78, 2891 |
∴ So the LCM of the given numbers is 2 x 78 x 2891 = 450996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/450996
Therefore, the GCF of Fractions 6516/156,6846/5782 is 6/450996
Least Common Multiple of 156,5782 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 156,5782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,5782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(156,5782) x common factors =2 x 1 = 2
LCM(156,5782) = ( 156 × 5782 ) / 2
LCM(156,5782) = 901992 / 2
LCM(156,5782) = 450996
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FAQs on GCF of Fractions of 6516/156, 6846/5782
1. What is the HCF of 6516,6846?
The HCF of 6516,6846 is 6
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 6516/156, 6846/5782?
Answer: GCF of Numerators as per given numbers 6516/156, 6846/5782 is
GCF of Numerators i.e. for 6516,6846 is 6
LCM of denominators i.e. for 156,5782 is 450996.
Thus, GCF of Fractions is 6/450996.Finally, GCF of Fractions for 6516/156, 6846/5782 is 6/450996.