GCF of 6162/548, 8007/1522
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6162/548, 8007/1522 i.e 3/417028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6162/548, 8007/1522.
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 6162/548,8007/1522?
Given fractions are 6162/548,8007/1522
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 6162/548,8007/1522, numerators are 6162,8007
Denominators are 548,1522
The GCF of 6162,8007 is 3 .
LCM of 548,1522 is 417028.
The greatest common factor of 6162/548,8007/1522 = [GCF of 6162,8007]/[LCM of 548,1522]= 3/417028
Therefore, the GCF of 6162/548,8007/1522 is 3/417028.
To find the highest common factor of 6162,8007, we have to find the factors of both numbers and list the highest common factor.
The factors of 6162 are 1, 2, 3, 6, 13, 26, 39, 78, 79, 158, 237, 474, 1027, 2054, 3081, 6162
The factors of 8007 are 1, 3, 17, 51, 157, 471, 2669, 8007
The HCF of 6162,8007 is 3.
Lets's calculate GCF of 6162,8007
| 3 | 6162, 8007 |
| 2054, 2669 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6162,8007 By Matching Biggest Common Factor Method
Now, list down the factors of 6162
:1,2,3,6,13,26,39,78,79,158,237,474,1027,2054,3081,6162
Now, list down the factors of 8007
:1,3,17,51,157,471,2669,8007
Greatest Common Factor
We found the factors 6162,8007 . The biggest common factor number is the GCF number.
So the greatest common factor 6162,8007 is 3.
Lets's calculate LCM of 548,1522
| 2 | 548, 1522 |
| 274, 761 |
∴ So the LCM of the given numbers is 2 x 274 x 761 = 417028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/417028
Therefore, the GCF of Fractions 6162/548,8007/1522 is 3/417028
Least Common Multiple of 548,1522 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 548,1522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,1522) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(548,1522) x common factors =2 x 1 = 2
LCM(548,1522) = ( 548 × 1522 ) / 2
LCM(548,1522) = 834056 / 2
LCM(548,1522) = 417028
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FAQs on GCF of Fractions of 6162/548, 8007/1522
1. What is the HCF of 6162,8007?
The HCF of 6162,8007 is 3
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 6162/548, 8007/1522?
Answer: GCF of Numerators as per given numbers 6162/548, 8007/1522 is
GCF of Numerators i.e. for 6162,8007 is 3
LCM of denominators i.e. for 548,1522 is 417028.
Thus, GCF of Fractions is 3/417028.Finally, GCF of Fractions for 6162/548, 8007/1522 is 3/417028.