GCF of 336/20, 624/1775
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 336/20, 624/1775 i.e 48/7100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 336/20, 624/1775.
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 336/20,624/1775?
Given fractions are 336/20,624/1775
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 336/20,624/1775, numerators are 336,624
Denominators are 20,1775
The GCF of 336,624 is 48 .
LCM of 20,1775 is 7100.
The greatest common factor of 336/20,624/1775 = [GCF of 336,624]/[LCM of 20,1775]= 48/7100
Therefore, the GCF of 336/20,624/1775 is 48/7100.
To find the highest common factor of 336,624, 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 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
The HCF of 336,624 is 48.
Lets's calculate GCF of 336,624
| 2 | 336, 624 |
| 2 | 168, 312 |
| 2 | 84, 156 |
| 2 | 42, 78 |
| 3 | 21, 39 |
| 7, 13 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48
Greatest Common Factor of 336,624 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 624
:1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Greatest Common Factor
We found the factors 336,624 . The biggest common factor number is the GCF number.
So the greatest common factor 336,624 is 48.
Lets's calculate LCM of 20,1775
| 5 | 20, 1775 |
| 4, 355 |
∴ So the LCM of the given numbers is 5 x 4 x 355 = 7100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/7100
Therefore, the GCF of Fractions 336/20,624/1775 is 48/7100
Least Common Multiple of 20,1775 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 20,1775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,1775) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(20,1775) x common factors =5 x 1 = 5
LCM(20,1775) = ( 20 × 1775 ) / 5
LCM(20,1775) = 35500 / 5
LCM(20,1775) = 7100
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FAQs on GCF of Fractions of 336/20, 624/1775
1. What is the HCF of 336,624?
The HCF of 336,624 is 48
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 336/20, 624/1775?
Answer: GCF of Numerators as per given numbers 336/20, 624/1775 is
GCF of Numerators i.e. for 336,624 is 48
LCM of denominators i.e. for 20,1775 is 7100.
Thus, GCF of Fractions is 48/7100.Finally, GCF of Fractions for 336/20, 624/1775 is 48/7100.