GCF of 2886/530, 6162/264
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2886/530, 6162/264 i.e 78/69960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2886/530, 6162/264.
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 2886/530,6162/264?
Given fractions are 2886/530,6162/264
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 2886/530,6162/264, numerators are 2886,6162
Denominators are 530,264
The GCF of 2886,6162 is 78 .
LCM of 530,264 is 69960.
The greatest common factor of 2886/530,6162/264 = [GCF of 2886,6162]/[LCM of 530,264]= 78/69960
Therefore, the GCF of 2886/530,6162/264 is 78/69960.
To find the highest common factor of 2886,6162, we have to find the factors of both numbers and list the highest common factor.
The factors of 2886 are 1, 2, 3, 6, 13, 26, 37, 39, 74, 78, 111, 222, 481, 962, 1443, 2886
The factors of 6162 are 1, 2, 3, 6, 13, 26, 39, 78, 79, 158, 237, 474, 1027, 2054, 3081, 6162
The HCF of 2886,6162 is 78.
Lets's calculate GCF of 2886,6162
| 2 | 2886, 6162 |
| 3 | 1443, 3081 |
| 13 | 481, 1027 |
| 37, 79 |
∴ So the GCF of the given numbers is 2 x 3 x 13 = 78
Greatest Common Factor of 2886,6162 By Matching Biggest Common Factor Method
Now, list down the factors of 2886
:1,2,3,6,13,26,37,39,74,78,111,222,481,962,1443,2886
Now, list down the factors of 6162
:1,2,3,6,13,26,39,78,79,158,237,474,1027,2054,3081,6162
Greatest Common Factor
We found the factors 2886,6162 . The biggest common factor number is the GCF number.
So the greatest common factor 2886,6162 is 78.
Lets's calculate LCM of 530,264
| 2 | 530, 264 |
| 265, 132 |
∴ So the LCM of the given numbers is 2 x 265 x 132 = 69960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 78/69960
Therefore, the GCF of Fractions 2886/530,6162/264 is 78/69960
Least Common Multiple of 530,264 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 530,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(530,264) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(530,264) x common factors =2 x 1 = 2
LCM(530,264) = ( 530 × 264 ) / 2
LCM(530,264) = 139920 / 2
LCM(530,264) = 69960
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FAQs on GCF of Fractions of 2886/530, 6162/264
1. What is the HCF of 2886,6162?
The HCF of 2886,6162 is 78
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 2886/530, 6162/264?
Answer: GCF of Numerators as per given numbers 2886/530, 6162/264 is
GCF of Numerators i.e. for 2886,6162 is 78
LCM of denominators i.e. for 530,264 is 69960.
Thus, GCF of Fractions is 78/69960.Finally, GCF of Fractions for 2886/530, 6162/264 is 78/69960.