GCF of 444/312, 978/842
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 444/312, 978/842 i.e 6/131352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 444/312, 978/842.
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 444/312,978/842?
Given fractions are 444/312,978/842
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 444/312,978/842, numerators are 444,978
Denominators are 312,842
The GCF of 444,978 is 6 .
LCM of 312,842 is 131352.
The greatest common factor of 444/312,978/842 = [GCF of 444,978]/[LCM of 312,842]= 6/131352
Therefore, the GCF of 444/312,978/842 is 6/131352.
To find the highest common factor of 444,978, we have to find the factors of both numbers and list the highest common factor.
The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
The factors of 978 are 1, 2, 3, 6, 163, 326, 489, 978
The HCF of 444,978 is 6.
Lets's calculate GCF of 444,978
| 2 | 444, 978 |
| 3 | 222, 489 |
| 74, 163 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 444,978 By Matching Biggest Common Factor Method
Now, list down the factors of 444
:1,2,3,4,6,12,37,74,111,148,222,444
Now, list down the factors of 978
:1,2,3,6,163,326,489,978
Greatest Common Factor
We found the factors 444,978 . The biggest common factor number is the GCF number.
So the greatest common factor 444,978 is 6.
Lets's calculate LCM of 312,842
| 2 | 312, 842 |
| 156, 421 |
∴ So the LCM of the given numbers is 2 x 156 x 421 = 131352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/131352
Therefore, the GCF of Fractions 444/312,978/842 is 6/131352
Least Common Multiple of 312,842 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 312,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,842) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(312,842) x common factors =2 x 1 = 2
LCM(312,842) = ( 312 × 842 ) / 2
LCM(312,842) = 262704 / 2
LCM(312,842) = 131352
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FAQs on GCF of Fractions of 444/312, 978/842
1. What is the HCF of 444,978?
The HCF of 444,978 is 6
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 444/312, 978/842?
Answer: GCF of Numerators as per given numbers 444/312, 978/842 is
GCF of Numerators i.e. for 444,978 is 6
LCM of denominators i.e. for 312,842 is 131352.
Thus, GCF of Fractions is 6/131352.Finally, GCF of Fractions for 444/312, 978/842 is 6/131352.