GCF of 9683/789, 6795/263
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9683/789, 6795/263 i.e 1/789 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9683/789, 6795/263.
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 9683/789,6795/263?
Given fractions are 9683/789,6795/263
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 9683/789,6795/263, numerators are 9683,6795
Denominators are 789,263
The GCF of 9683,6795 is 1 .
LCM of 789,263 is 789.
The greatest common factor of 9683/789,6795/263 = [GCF of 9683,6795]/[LCM of 789,263]= 1/789
Therefore, the GCF of 9683/789,6795/263 is 1/789.
To find the highest common factor of 9683,6795, we have to find the factors of both numbers and list the highest common factor.
The factors of 9683 are 1, 23, 421, 9683
The factors of 6795 are 1, 3, 5, 9, 15, 45, 151, 453, 755, 1359, 2265, 6795
The HCF of 9683,6795 is 1.
Lets's calculate GCF of 9683,6795
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9683,6795 By Matching Biggest Common Factor Method
Now, list down the factors of 9683
:1,23,421,9683
Now, list down the factors of 6795
:1,3,5,9,15,45,151,453,755,1359,2265,6795
Greatest Common Factor
We found the factors 9683,6795 . The biggest common factor number is the GCF number.
So the greatest common factor 9683,6795 is 1.
Lets's calculate LCM of 789,263
| 263 | 789, 263 |
| 3, 1 |
∴ So the LCM of the given numbers is 263 x 3 x 1 = 789
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/789
Therefore, the GCF of Fractions 9683/789,6795/263 is 1/789
Least Common Multiple of 789,263 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 789,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,263) = 263
common factors(in case of two or more numbers have common factors) = 1
GCF(789,263) x common factors =263 x 1 = 263
LCM(789,263) = ( 789 × 263 ) / 263
LCM(789,263) = 207507 / 263
LCM(789,263) = 789
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FAQs on GCF of Fractions of 9683/789, 6795/263
1. What is the HCF of 9683,6795?
The HCF of 9683,6795 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 9683/789, 6795/263?
Answer: GCF of Numerators as per given numbers 9683/789, 6795/263 is
GCF of Numerators i.e. for 9683,6795 is 1
LCM of denominators i.e. for 789,263 is 789.
Thus, GCF of Fractions is 1/789.Finally, GCF of Fractions for 9683/789, 6795/263 is 1/789.