GCF of 9683/522, 3014/7276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9683/522, 3014/7276 i.e 1/1899036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9683/522, 3014/7276.
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 9683/522,3014/7276?
Given fractions are 9683/522,3014/7276
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 9683/522,3014/7276, numerators are 9683,3014
Denominators are 522,7276
The GCF of 9683,3014 is 1 .
LCM of 522,7276 is 1899036.
The greatest common factor of 9683/522,3014/7276 = [GCF of 9683,3014]/[LCM of 522,7276]= 1/1899036
Therefore, the GCF of 9683/522,3014/7276 is 1/1899036.
To find the highest common factor of 9683,3014, 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 3014 are 1, 2, 11, 22, 137, 274, 1507, 3014
The HCF of 9683,3014 is 1.
Lets's calculate GCF of 9683,3014
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9683,3014 By Matching Biggest Common Factor Method
Now, list down the factors of 9683
:1,23,421,9683
Now, list down the factors of 3014
:1,2,11,22,137,274,1507,3014
Greatest Common Factor
We found the factors 9683,3014 . The biggest common factor number is the GCF number.
So the greatest common factor 9683,3014 is 1.
Lets's calculate LCM of 522,7276
| 2 | 522, 7276 |
| 261, 3638 |
∴ So the LCM of the given numbers is 2 x 261 x 3638 = 1899036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1899036
Therefore, the GCF of Fractions 9683/522,3014/7276 is 1/1899036
Least Common Multiple of 522,7276 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 522,7276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,7276) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(522,7276) x common factors =2 x 1 = 2
LCM(522,7276) = ( 522 × 7276 ) / 2
LCM(522,7276) = 3798072 / 2
LCM(522,7276) = 1899036
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FAQs on GCF of Fractions of 9683/522, 3014/7276
1. What is the HCF of 9683,3014?
The HCF of 9683,3014 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 9683/522, 3014/7276?
Answer: GCF of Numerators as per given numbers 9683/522, 3014/7276 is
GCF of Numerators i.e. for 9683,3014 is 1
LCM of denominators i.e. for 522,7276 is 1899036.
Thus, GCF of Fractions is 1/1899036.Finally, GCF of Fractions for 9683/522, 3014/7276 is 1/1899036.