GCF of 7787/766, 7296/1718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7787/766, 7296/1718 i.e 1/657994 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7787/766, 7296/1718.
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 7787/766,7296/1718?
Given fractions are 7787/766,7296/1718
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 7787/766,7296/1718, numerators are 7787,7296
Denominators are 766,1718
The GCF of 7787,7296 is 1 .
LCM of 766,1718 is 657994.
The greatest common factor of 7787/766,7296/1718 = [GCF of 7787,7296]/[LCM of 766,1718]= 1/657994
Therefore, the GCF of 7787/766,7296/1718 is 1/657994.
To find the highest common factor of 7787,7296, we have to find the factors of both numbers and list the highest common factor.
The factors of 7787 are 1, 13, 599, 7787
The factors of 7296 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 128, 152, 192, 228, 304, 384, 456, 608, 912, 1216, 1824, 2432, 3648, 7296
The HCF of 7787,7296 is 1.
Lets's calculate GCF of 7787,7296
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7787,7296 By Matching Biggest Common Factor Method
Now, list down the factors of 7787
:1,13,599,7787
Now, list down the factors of 7296
:1,2,3,4,6,8,12,16,19,24,32,38,48,57,64,76,96,114,128,152,192,228,304,384,456,608,912,1216,1824,2432,3648,7296
Greatest Common Factor
We found the factors 7787,7296 . The biggest common factor number is the GCF number.
So the greatest common factor 7787,7296 is 1.
Lets's calculate LCM of 766,1718
| 2 | 766, 1718 |
| 383, 859 |
∴ So the LCM of the given numbers is 2 x 383 x 859 = 657994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/657994
Therefore, the GCF of Fractions 7787/766,7296/1718 is 1/657994
Least Common Multiple of 766,1718 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 766,1718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,1718) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(766,1718) x common factors =2 x 1 = 2
LCM(766,1718) = ( 766 × 1718 ) / 2
LCM(766,1718) = 1315988 / 2
LCM(766,1718) = 657994
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FAQs on GCF of Fractions of 7787/766, 7296/1718
1. What is the HCF of 7787,7296?
The HCF of 7787,7296 is 1
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 7787/766, 7296/1718?
Answer: GCF of Numerators as per given numbers 7787/766, 7296/1718 is
GCF of Numerators i.e. for 7787,7296 is 1
LCM of denominators i.e. for 766,1718 is 657994.
Thus, GCF of Fractions is 1/657994.Finally, GCF of Fractions for 7787/766, 7296/1718 is 1/657994.