GCF of 6516/186, 5602/7037
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6516/186, 5602/7037 i.e 2/42222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6516/186, 5602/7037.
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 6516/186,5602/7037?
Given fractions are 6516/186,5602/7037
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 6516/186,5602/7037, numerators are 6516,5602
Denominators are 186,7037
The GCF of 6516,5602 is 2 .
LCM of 186,7037 is 42222.
The greatest common factor of 6516/186,5602/7037 = [GCF of 6516,5602]/[LCM of 186,7037]= 2/42222
Therefore, the GCF of 6516/186,5602/7037 is 2/42222.
To find the highest common factor of 6516,5602, 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 5602 are 1, 2, 2801, 5602
The HCF of 6516,5602 is 2.
Lets's calculate GCF of 6516,5602
| 2 | 6516, 5602 |
| 3258, 2801 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6516,5602 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 5602
:1,2,2801,5602
Greatest Common Factor
We found the factors 6516,5602 . The biggest common factor number is the GCF number.
So the greatest common factor 6516,5602 is 2.
Lets's calculate LCM of 186,7037
| 31 | 186, 7037 |
| 6, 227 |
∴ So the LCM of the given numbers is 31 x 6 x 227 = 42222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/42222
Therefore, the GCF of Fractions 6516/186,5602/7037 is 2/42222
Least Common Multiple of 186,7037 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 186,7037 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,7037) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(186,7037) x common factors =31 x 1 = 31
LCM(186,7037) = ( 186 × 7037 ) / 31
LCM(186,7037) = 1308882 / 31
LCM(186,7037) = 42222
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FAQs on GCF of Fractions of 6516/186, 5602/7037
1. What is the HCF of 6516,5602?
The HCF of 6516,5602 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 6516/186, 5602/7037?
Answer: GCF of Numerators as per given numbers 6516/186, 5602/7037 is
GCF of Numerators i.e. for 6516,5602 is 2
LCM of denominators i.e. for 186,7037 is 42222.
Thus, GCF of Fractions is 2/42222.Finally, GCF of Fractions for 6516/186, 5602/7037 is 2/42222.