GCF of 7046/656, 3942/5975
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7046/656, 3942/5975 i.e 2/3919600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7046/656, 3942/5975.
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 7046/656,3942/5975?
Given fractions are 7046/656,3942/5975
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 7046/656,3942/5975, numerators are 7046,3942
Denominators are 656,5975
The GCF of 7046,3942 is 2 .
LCM of 656,5975 is 3919600.
The greatest common factor of 7046/656,3942/5975 = [GCF of 7046,3942]/[LCM of 656,5975]= 2/3919600
Therefore, the GCF of 7046/656,3942/5975 is 2/3919600.
To find the highest common factor of 7046,3942, we have to find the factors of both numbers and list the highest common factor.
The factors of 7046 are 1, 2, 13, 26, 271, 542, 3523, 7046
The factors of 3942 are 1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971, 3942
The HCF of 7046,3942 is 2.
Lets's calculate GCF of 7046,3942
| 2 | 7046, 3942 |
| 3523, 1971 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7046,3942 By Matching Biggest Common Factor Method
Now, list down the factors of 7046
:1,2,13,26,271,542,3523,7046
Now, list down the factors of 3942
:1,2,3,6,9,18,27,54,73,146,219,438,657,1314,1971,3942
Greatest Common Factor
We found the factors 7046,3942 . The biggest common factor number is the GCF number.
So the greatest common factor 7046,3942 is 2.
Lets's calculate LCM of 656,5975
Given numbers has no common factors except 1. So, there LCM is their product i.e 3919600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3919600
Therefore, the GCF of Fractions 7046/656,3942/5975 is 2/3919600
Least Common Multiple of 656,5975 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 656,5975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,5975) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(656,5975) x common factors =1 x 1 = 1
LCM(656,5975) = ( 656 × 5975 ) / 1
LCM(656,5975) = 3919600 / 1
LCM(656,5975) = 3919600
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FAQs on GCF of Fractions of 7046/656, 3942/5975
1. What is the HCF of 7046,3942?
The HCF of 7046,3942 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 7046/656, 3942/5975?
Answer: GCF of Numerators as per given numbers 7046/656, 3942/5975 is
GCF of Numerators i.e. for 7046,3942 is 2
LCM of denominators i.e. for 656,5975 is 3919600.
Thus, GCF of Fractions is 2/3919600.Finally, GCF of Fractions for 7046/656, 3942/5975 is 2/3919600.