GCF of 5166/812, 2180/2302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5166/812, 2180/2302 i.e 2/934612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5166/812, 2180/2302.
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 5166/812,2180/2302?
Given fractions are 5166/812,2180/2302
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 5166/812,2180/2302, numerators are 5166,2180
Denominators are 812,2302
The GCF of 5166,2180 is 2 .
LCM of 812,2302 is 934612.
The greatest common factor of 5166/812,2180/2302 = [GCF of 5166,2180]/[LCM of 812,2302]= 2/934612
Therefore, the GCF of 5166/812,2180/2302 is 2/934612.
To find the highest common factor of 5166,2180, we have to find the factors of both numbers and list the highest common factor.
The factors of 5166 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 41, 42, 63, 82, 123, 126, 246, 287, 369, 574, 738, 861, 1722, 2583, 5166
The factors of 2180 are 1, 2, 4, 5, 10, 20, 109, 218, 436, 545, 1090, 2180
The HCF of 5166,2180 is 2.
Lets's calculate GCF of 5166,2180
| 2 | 5166, 2180 |
| 2583, 1090 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5166,2180 By Matching Biggest Common Factor Method
Now, list down the factors of 5166
:1,2,3,6,7,9,14,18,21,41,42,63,82,123,126,246,287,369,574,738,861,1722,2583,5166
Now, list down the factors of 2180
:1,2,4,5,10,20,109,218,436,545,1090,2180
Greatest Common Factor
We found the factors 5166,2180 . The biggest common factor number is the GCF number.
So the greatest common factor 5166,2180 is 2.
Lets's calculate LCM of 812,2302
| 2 | 812, 2302 |
| 406, 1151 |
∴ So the LCM of the given numbers is 2 x 406 x 1151 = 934612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/934612
Therefore, the GCF of Fractions 5166/812,2180/2302 is 2/934612
Least Common Multiple of 812,2302 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 812,2302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,2302) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(812,2302) x common factors =2 x 1 = 2
LCM(812,2302) = ( 812 × 2302 ) / 2
LCM(812,2302) = 1869224 / 2
LCM(812,2302) = 934612
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FAQs on GCF of Fractions of 5166/812, 2180/2302
1. What is the HCF of 5166,2180?
The HCF of 5166,2180 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 5166/812, 2180/2302?
Answer: GCF of Numerators as per given numbers 5166/812, 2180/2302 is
GCF of Numerators i.e. for 5166,2180 is 2
LCM of denominators i.e. for 812,2302 is 934612.
Thus, GCF of Fractions is 2/934612.Finally, GCF of Fractions for 5166/812, 2180/2302 is 2/934612.