GCF of 336/309, 7844/5460
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 336/309, 7844/5460 i.e 4/562380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 336/309, 7844/5460.
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 336/309,7844/5460?
Given fractions are 336/309,7844/5460
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 336/309,7844/5460, numerators are 336,7844
Denominators are 309,5460
The GCF of 336,7844 is 4 .
LCM of 309,5460 is 562380.
The greatest common factor of 336/309,7844/5460 = [GCF of 336,7844]/[LCM of 309,5460]= 4/562380
Therefore, the GCF of 336/309,7844/5460 is 4/562380.
To find the highest common factor of 336,7844, we have to find the factors of both numbers and list the highest common factor.
The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
The factors of 7844 are 1, 2, 4, 37, 53, 74, 106, 148, 212, 1961, 3922, 7844
The HCF of 336,7844 is 4.
Lets's calculate GCF of 336,7844
| 2 | 336, 7844 |
| 2 | 168, 3922 |
| 84, 1961 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 336,7844 By Matching Biggest Common Factor Method
Now, list down the factors of 336
:1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Now, list down the factors of 7844
:1,2,4,37,53,74,106,148,212,1961,3922,7844
Greatest Common Factor
We found the factors 336,7844 . The biggest common factor number is the GCF number.
So the greatest common factor 336,7844 is 4.
Lets's calculate LCM of 309,5460
| 3 | 309, 5460 |
| 103, 1820 |
∴ So the LCM of the given numbers is 3 x 103 x 1820 = 562380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/562380
Therefore, the GCF of Fractions 336/309,7844/5460 is 4/562380
Least Common Multiple of 309,5460 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 309,5460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,5460) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(309,5460) x common factors =3 x 1 = 3
LCM(309,5460) = ( 309 × 5460 ) / 3
LCM(309,5460) = 1687140 / 3
LCM(309,5460) = 562380
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FAQs on GCF of Fractions of 336/309, 7844/5460
1. What is the HCF of 336,7844?
The HCF of 336,7844 is 4
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 336/309, 7844/5460?
Answer: GCF of Numerators as per given numbers 336/309, 7844/5460 is
GCF of Numerators i.e. for 336,7844 is 4
LCM of denominators i.e. for 309,5460 is 562380.
Thus, GCF of Fractions is 4/562380.Finally, GCF of Fractions for 336/309, 7844/5460 is 4/562380.