GCF of 336/59, 392/872
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 336/59, 392/872 i.e 56/51448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 336/59, 392/872.
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 336/59,392/872?
Given fractions are 336/59,392/872
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 336/59,392/872, numerators are 336,392
Denominators are 59,872
The GCF of 336,392 is 56 .
LCM of 59,872 is 51448.
The greatest common factor of 336/59,392/872 = [GCF of 336,392]/[LCM of 59,872]= 56/51448
Therefore, the GCF of 336/59,392/872 is 56/51448.
To find the highest common factor of 336,392, 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 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
The HCF of 336,392 is 56.
Lets's calculate GCF of 336,392
| 2 | 336, 392 |
| 2 | 168, 196 |
| 2 | 84, 98 |
| 7 | 42, 49 |
| 6, 7 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56
Greatest Common Factor of 336,392 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 392
:1,2,4,7,8,14,28,49,56,98,196,392
Greatest Common Factor
We found the factors 336,392 . The biggest common factor number is the GCF number.
So the greatest common factor 336,392 is 56.
Lets's calculate LCM of 59,872
Given numbers has no common factors except 1. So, there LCM is their product i.e 51448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/51448
Therefore, the GCF of Fractions 336/59,392/872 is 56/51448
Least Common Multiple of 59,872 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 59,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,872) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,872) x common factors =1 x 1 = 1
LCM(59,872) = ( 59 × 872 ) / 1
LCM(59,872) = 51448 / 1
LCM(59,872) = 51448
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FAQs on GCF of Fractions of 336/59, 392/872
1. What is the HCF of 336,392?
The HCF of 336,392 is 56
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 336/59, 392/872?
Answer: GCF of Numerators as per given numbers 336/59, 392/872 is
GCF of Numerators i.e. for 336,392 is 56
LCM of denominators i.e. for 59,872 is 51448.
Thus, GCF of Fractions is 56/51448.Finally, GCF of Fractions for 336/59, 392/872 is 56/51448.