GCF of 7263/916, 6372/392
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7263/916, 6372/392 i.e 27/89768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7263/916, 6372/392.
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 7263/916,6372/392?
Given fractions are 7263/916,6372/392
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 7263/916,6372/392, numerators are 7263,6372
Denominators are 916,392
The GCF of 7263,6372 is 27 .
LCM of 916,392 is 89768.
The greatest common factor of 7263/916,6372/392 = [GCF of 7263,6372]/[LCM of 916,392]= 27/89768
Therefore, the GCF of 7263/916,6372/392 is 27/89768.
To find the highest common factor of 7263,6372, we have to find the factors of both numbers and list the highest common factor.
The factors of 7263 are 1, 3, 9, 27, 269, 807, 2421, 7263
The factors of 6372 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 59, 108, 118, 177, 236, 354, 531, 708, 1062, 1593, 2124, 3186, 6372
The HCF of 7263,6372 is 27.
Lets's calculate GCF of 7263,6372
| 3 | 7263, 6372 |
| 3 | 2421, 2124 |
| 3 | 807, 708 |
| 269, 236 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 7263,6372 By Matching Biggest Common Factor Method
Now, list down the factors of 7263
:1,3,9,27,269,807,2421,7263
Now, list down the factors of 6372
:1,2,3,4,6,9,12,18,27,36,54,59,108,118,177,236,354,531,708,1062,1593,2124,3186,6372
Greatest Common Factor
We found the factors 7263,6372 . The biggest common factor number is the GCF number.
So the greatest common factor 7263,6372 is 27.
Lets's calculate LCM of 916,392
| 2 | 916, 392 |
| 2 | 458, 196 |
| 229, 98 |
∴ So the LCM of the given numbers is 2 x 2 x 229 x 98 = 89768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/89768
Therefore, the GCF of Fractions 7263/916,6372/392 is 27/89768
Least Common Multiple of 916,392 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 916,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,392) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(916,392) x common factors =4 x 1 = 4
LCM(916,392) = ( 916 × 392 ) / 4
LCM(916,392) = 359072 / 4
LCM(916,392) = 89768
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FAQs on GCF of Fractions of 7263/916, 6372/392
1. What is the HCF of 7263,6372?
The HCF of 7263,6372 is 27
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 7263/916, 6372/392?
Answer: GCF of Numerators as per given numbers 7263/916, 6372/392 is
GCF of Numerators i.e. for 7263,6372 is 27
LCM of denominators i.e. for 916,392 is 89768.
Thus, GCF of Fractions is 27/89768.Finally, GCF of Fractions for 7263/916, 6372/392 is 27/89768.