GCF of 7450/542, 6966/3661
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7450/542, 6966/3661 i.e 2/1984262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7450/542, 6966/3661.
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 7450/542,6966/3661?
Given fractions are 7450/542,6966/3661
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 7450/542,6966/3661, numerators are 7450,6966
Denominators are 542,3661
The GCF of 7450,6966 is 2 .
LCM of 542,3661 is 1984262.
The greatest common factor of 7450/542,6966/3661 = [GCF of 7450,6966]/[LCM of 542,3661]= 2/1984262
Therefore, the GCF of 7450/542,6966/3661 is 2/1984262.
To find the highest common factor of 7450,6966, we have to find the factors of both numbers and list the highest common factor.
The factors of 7450 are 1, 2, 5, 10, 25, 50, 149, 298, 745, 1490, 3725, 7450
The factors of 6966 are 1, 2, 3, 6, 9, 18, 27, 43, 54, 81, 86, 129, 162, 258, 387, 774, 1161, 2322, 3483, 6966
The HCF of 7450,6966 is 2.
Lets's calculate GCF of 7450,6966
| 2 | 7450, 6966 |
| 3725, 3483 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7450,6966 By Matching Biggest Common Factor Method
Now, list down the factors of 7450
:1,2,5,10,25,50,149,298,745,1490,3725,7450
Now, list down the factors of 6966
:1,2,3,6,9,18,27,43,54,81,86,129,162,258,387,774,1161,2322,3483,6966
Greatest Common Factor
We found the factors 7450,6966 . The biggest common factor number is the GCF number.
So the greatest common factor 7450,6966 is 2.
Lets's calculate LCM of 542,3661
Given numbers has no common factors except 1. So, there LCM is their product i.e 1984262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1984262
Therefore, the GCF of Fractions 7450/542,6966/3661 is 2/1984262
Least Common Multiple of 542,3661 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 542,3661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,3661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(542,3661) x common factors =1 x 1 = 1
LCM(542,3661) = ( 542 × 3661 ) / 1
LCM(542,3661) = 1984262 / 1
LCM(542,3661) = 1984262
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FAQs on GCF of Fractions of 7450/542, 6966/3661
1. What is the HCF of 7450,6966?
The HCF of 7450,6966 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 7450/542, 6966/3661?
Answer: GCF of Numerators as per given numbers 7450/542, 6966/3661 is
GCF of Numerators i.e. for 7450,6966 is 2
LCM of denominators i.e. for 542,3661 is 1984262.
Thus, GCF of Fractions is 2/1984262.Finally, GCF of Fractions for 7450/542, 6966/3661 is 2/1984262.