GCF of 7206/554, 6548/8004
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7206/554, 6548/8004 i.e 2/2217108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7206/554, 6548/8004.
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 7206/554,6548/8004?
Given fractions are 7206/554,6548/8004
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 7206/554,6548/8004, numerators are 7206,6548
Denominators are 554,8004
The GCF of 7206,6548 is 2 .
LCM of 554,8004 is 2217108.
The greatest common factor of 7206/554,6548/8004 = [GCF of 7206,6548]/[LCM of 554,8004]= 2/2217108
Therefore, the GCF of 7206/554,6548/8004 is 2/2217108.
To find the highest common factor of 7206,6548, we have to find the factors of both numbers and list the highest common factor.
The factors of 7206 are 1, 2, 3, 6, 1201, 2402, 3603, 7206
The factors of 6548 are 1, 2, 4, 1637, 3274, 6548
The HCF of 7206,6548 is 2.
Lets's calculate GCF of 7206,6548
| 2 | 7206, 6548 |
| 3603, 3274 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7206,6548 By Matching Biggest Common Factor Method
Now, list down the factors of 7206
:1,2,3,6,1201,2402,3603,7206
Now, list down the factors of 6548
:1,2,4,1637,3274,6548
Greatest Common Factor
We found the factors 7206,6548 . The biggest common factor number is the GCF number.
So the greatest common factor 7206,6548 is 2.
Lets's calculate LCM of 554,8004
| 2 | 554, 8004 |
| 277, 4002 |
∴ So the LCM of the given numbers is 2 x 277 x 4002 = 2217108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2217108
Therefore, the GCF of Fractions 7206/554,6548/8004 is 2/2217108
Least Common Multiple of 554,8004 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 554,8004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,8004) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(554,8004) x common factors =2 x 1 = 2
LCM(554,8004) = ( 554 × 8004 ) / 2
LCM(554,8004) = 4434216 / 2
LCM(554,8004) = 2217108
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FAQs on GCF of Fractions of 7206/554, 6548/8004
1. What is the HCF of 7206,6548?
The HCF of 7206,6548 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 7206/554, 6548/8004?
Answer: GCF of Numerators as per given numbers 7206/554, 6548/8004 is
GCF of Numerators i.e. for 7206,6548 is 2
LCM of denominators i.e. for 554,8004 is 2217108.
Thus, GCF of Fractions is 2/2217108.Finally, GCF of Fractions for 7206/554, 6548/8004 is 2/2217108.