GCF of 7716/795, 6912/907
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7716/795, 6912/907 i.e 12/721065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7716/795, 6912/907.
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 7716/795,6912/907?
Given fractions are 7716/795,6912/907
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 7716/795,6912/907, numerators are 7716,6912
Denominators are 795,907
The GCF of 7716,6912 is 12 .
LCM of 795,907 is 721065.
The greatest common factor of 7716/795,6912/907 = [GCF of 7716,6912]/[LCM of 795,907]= 12/721065
Therefore, the GCF of 7716/795,6912/907 is 12/721065.
To find the highest common factor of 7716,6912, we have to find the factors of both numbers and list the highest common factor.
The factors of 7716 are 1, 2, 3, 4, 6, 12, 643, 1286, 1929, 2572, 3858, 7716
The factors of 6912 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 256, 288, 384, 432, 576, 768, 864, 1152, 1728, 2304, 3456, 6912
The HCF of 7716,6912 is 12.
Lets's calculate GCF of 7716,6912
| 2 | 7716, 6912 |
| 2 | 3858, 3456 |
| 3 | 1929, 1728 |
| 643, 576 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 7716,6912 By Matching Biggest Common Factor Method
Now, list down the factors of 7716
:1,2,3,4,6,12,643,1286,1929,2572,3858,7716
Now, list down the factors of 6912
:1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,128,144,192,216,256,288,384,432,576,768,864,1152,1728,2304,3456,6912
Greatest Common Factor
We found the factors 7716,6912 . The biggest common factor number is the GCF number.
So the greatest common factor 7716,6912 is 12.
Lets's calculate LCM of 795,907
Given numbers has no common factors except 1. So, there LCM is their product i.e 721065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/721065
Therefore, the GCF of Fractions 7716/795,6912/907 is 12/721065
Least Common Multiple of 795,907 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 795,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(795,907) x common factors =1 x 1 = 1
LCM(795,907) = ( 795 × 907 ) / 1
LCM(795,907) = 721065 / 1
LCM(795,907) = 721065
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FAQs on GCF of Fractions of 7716/795, 6912/907
1. What is the HCF of 7716,6912?
The HCF of 7716,6912 is 12
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 7716/795, 6912/907?
Answer: GCF of Numerators as per given numbers 7716/795, 6912/907 is
GCF of Numerators i.e. for 7716,6912 is 12
LCM of denominators i.e. for 795,907 is 721065.
Thus, GCF of Fractions is 12/721065.Finally, GCF of Fractions for 7716/795, 6912/907 is 12/721065.