GCF of 5844/424, 7178/978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5844/424, 7178/978 i.e 2/207336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5844/424, 7178/978.
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 5844/424,7178/978?
Given fractions are 5844/424,7178/978
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 5844/424,7178/978, numerators are 5844,7178
Denominators are 424,978
The GCF of 5844,7178 is 2 .
LCM of 424,978 is 207336.
The greatest common factor of 5844/424,7178/978 = [GCF of 5844,7178]/[LCM of 424,978]= 2/207336
Therefore, the GCF of 5844/424,7178/978 is 2/207336.
To find the highest common factor of 5844,7178, we have to find the factors of both numbers and list the highest common factor.
The factors of 5844 are 1, 2, 3, 4, 6, 12, 487, 974, 1461, 1948, 2922, 5844
The factors of 7178 are 1, 2, 37, 74, 97, 194, 3589, 7178
The HCF of 5844,7178 is 2.
Lets's calculate GCF of 5844,7178
| 2 | 5844, 7178 |
| 2922, 3589 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5844,7178 By Matching Biggest Common Factor Method
Now, list down the factors of 5844
:1,2,3,4,6,12,487,974,1461,1948,2922,5844
Now, list down the factors of 7178
:1,2,37,74,97,194,3589,7178
Greatest Common Factor
We found the factors 5844,7178 . The biggest common factor number is the GCF number.
So the greatest common factor 5844,7178 is 2.
Lets's calculate LCM of 424,978
| 2 | 424, 978 |
| 212, 489 |
∴ So the LCM of the given numbers is 2 x 212 x 489 = 207336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/207336
Therefore, the GCF of Fractions 5844/424,7178/978 is 2/207336
Least Common Multiple of 424,978 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 424,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,978) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(424,978) x common factors =2 x 1 = 2
LCM(424,978) = ( 424 × 978 ) / 2
LCM(424,978) = 414672 / 2
LCM(424,978) = 207336
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FAQs on GCF of Fractions of 5844/424, 7178/978
1. What is the HCF of 5844,7178?
The HCF of 5844,7178 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 5844/424, 7178/978?
Answer: GCF of Numerators as per given numbers 5844/424, 7178/978 is
GCF of Numerators i.e. for 5844,7178 is 2
LCM of denominators i.e. for 424,978 is 207336.
Thus, GCF of Fractions is 2/207336.Finally, GCF of Fractions for 5844/424, 7178/978 is 2/207336.