GCF of 336/749, 343/736
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 336/749, 343/736 i.e 7/551264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 336/749, 343/736.
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 336/749,343/736?
Given fractions are 336/749,343/736
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 336/749,343/736, numerators are 336,343
Denominators are 749,736
The GCF of 336,343 is 7 .
LCM of 749,736 is 551264.
The greatest common factor of 336/749,343/736 = [GCF of 336,343]/[LCM of 749,736]= 7/551264
Therefore, the GCF of 336/749,343/736 is 7/551264.
To find the highest common factor of 336,343, 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 343 are 1, 7, 49, 343
The HCF of 336,343 is 7.
Lets's calculate GCF of 336,343
| 7 | 336, 343 |
| 48, 49 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 336,343 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 343
:1,7,49,343
Greatest Common Factor
We found the factors 336,343 . The biggest common factor number is the GCF number.
So the greatest common factor 336,343 is 7.
Lets's calculate LCM of 749,736
Given numbers has no common factors except 1. So, there LCM is their product i.e 551264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/551264
Therefore, the GCF of Fractions 336/749,343/736 is 7/551264
Least Common Multiple of 749,736 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 749,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,736) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,736) x common factors =1 x 1 = 1
LCM(749,736) = ( 749 × 736 ) / 1
LCM(749,736) = 551264 / 1
LCM(749,736) = 551264
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FAQs on GCF of Fractions of 336/749, 343/736
1. What is the HCF of 336,343?
The HCF of 336,343 is 7
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 336/749, 343/736?
Answer: GCF of Numerators as per given numbers 336/749, 343/736 is
GCF of Numerators i.e. for 336,343 is 7
LCM of denominators i.e. for 749,736 is 551264.
Thus, GCF of Fractions is 7/551264.Finally, GCF of Fractions for 336/749, 343/736 is 7/551264.