GCF of 6933/112, 7077/736
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6933/112, 7077/736 i.e 3/5152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6933/112, 7077/736.
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 6933/112,7077/736?
Given fractions are 6933/112,7077/736
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 6933/112,7077/736, numerators are 6933,7077
Denominators are 112,736
The GCF of 6933,7077 is 3 .
LCM of 112,736 is 5152.
The greatest common factor of 6933/112,7077/736 = [GCF of 6933,7077]/[LCM of 112,736]= 3/5152
Therefore, the GCF of 6933/112,7077/736 is 3/5152.
To find the highest common factor of 6933,7077, we have to find the factors of both numbers and list the highest common factor.
The factors of 6933 are 1, 3, 2311, 6933
The factors of 7077 are 1, 3, 7, 21, 337, 1011, 2359, 7077
The HCF of 6933,7077 is 3.
Lets's calculate GCF of 6933,7077
| 3 | 6933, 7077 |
| 2311, 2359 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6933,7077 By Matching Biggest Common Factor Method
Now, list down the factors of 6933
:1,3,2311,6933
Now, list down the factors of 7077
:1,3,7,21,337,1011,2359,7077
Greatest Common Factor
We found the factors 6933,7077 . The biggest common factor number is the GCF number.
So the greatest common factor 6933,7077 is 3.
Lets's calculate LCM of 112,736
| 2 | 112, 736 |
| 2 | 56, 368 |
| 2 | 28, 184 |
| 2 | 14, 92 |
| 7, 46 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 46 = 5152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5152
Therefore, the GCF of Fractions 6933/112,7077/736 is 3/5152
Least Common Multiple of 112,736 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 112,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,736) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(112,736) x common factors =16 x 1 = 16
LCM(112,736) = ( 112 × 736 ) / 16
LCM(112,736) = 82432 / 16
LCM(112,736) = 5152
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FAQs on GCF of Fractions of 6933/112, 7077/736
1. What is the HCF of 6933,7077?
The HCF of 6933,7077 is 3
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 6933/112, 7077/736?
Answer: GCF of Numerators as per given numbers 6933/112, 7077/736 is
GCF of Numerators i.e. for 6933,7077 is 3
LCM of denominators i.e. for 112,736 is 5152.
Thus, GCF of Fractions is 3/5152.Finally, GCF of Fractions for 6933/112, 7077/736 is 3/5152.