GCF of 4648/169, 6012/6164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4648/169, 6012/6164 i.e 4/1041716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4648/169, 6012/6164.
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 4648/169,6012/6164?
Given fractions are 4648/169,6012/6164
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 4648/169,6012/6164, numerators are 4648,6012
Denominators are 169,6164
The GCF of 4648,6012 is 4 .
LCM of 169,6164 is 1041716.
The greatest common factor of 4648/169,6012/6164 = [GCF of 4648,6012]/[LCM of 169,6164]= 4/1041716
Therefore, the GCF of 4648/169,6012/6164 is 4/1041716.
To find the highest common factor of 4648,6012, we have to find the factors of both numbers and list the highest common factor.
The factors of 4648 are 1, 2, 4, 7, 8, 14, 28, 56, 83, 166, 332, 581, 664, 1162, 2324, 4648
The factors of 6012 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 167, 334, 501, 668, 1002, 1503, 2004, 3006, 6012
The HCF of 4648,6012 is 4.
Lets's calculate GCF of 4648,6012
| 2 | 4648, 6012 |
| 2 | 2324, 3006 |
| 1162, 1503 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4648,6012 By Matching Biggest Common Factor Method
Now, list down the factors of 4648
:1,2,4,7,8,14,28,56,83,166,332,581,664,1162,2324,4648
Now, list down the factors of 6012
:1,2,3,4,6,9,12,18,36,167,334,501,668,1002,1503,2004,3006,6012
Greatest Common Factor
We found the factors 4648,6012 . The biggest common factor number is the GCF number.
So the greatest common factor 4648,6012 is 4.
Lets's calculate LCM of 169,6164
Given numbers has no common factors except 1. So, there LCM is their product i.e 1041716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1041716
Therefore, the GCF of Fractions 4648/169,6012/6164 is 4/1041716
Least Common Multiple of 169,6164 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 169,6164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,6164) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(169,6164) x common factors =1 x 1 = 1
LCM(169,6164) = ( 169 × 6164 ) / 1
LCM(169,6164) = 1041716 / 1
LCM(169,6164) = 1041716
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FAQs on GCF of Fractions of 4648/169, 6012/6164
1. What is the HCF of 4648,6012?
The HCF of 4648,6012 is 4
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 4648/169, 6012/6164?
Answer: GCF of Numerators as per given numbers 4648/169, 6012/6164 is
GCF of Numerators i.e. for 4648,6012 is 4
LCM of denominators i.e. for 169,6164 is 1041716.
Thus, GCF of Fractions is 4/1041716.Finally, GCF of Fractions for 4648/169, 6012/6164 is 4/1041716.