GCF of 9626/536, 3363/2514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9626/536, 3363/2514 i.e 1/673752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9626/536, 3363/2514.
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 9626/536,3363/2514?
Given fractions are 9626/536,3363/2514
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 9626/536,3363/2514, numerators are 9626,3363
Denominators are 536,2514
The GCF of 9626,3363 is 1 .
LCM of 536,2514 is 673752.
The greatest common factor of 9626/536,3363/2514 = [GCF of 9626,3363]/[LCM of 536,2514]= 1/673752
Therefore, the GCF of 9626/536,3363/2514 is 1/673752.
To find the highest common factor of 9626,3363, we have to find the factors of both numbers and list the highest common factor.
The factors of 9626 are 1, 2, 4813, 9626
The factors of 3363 are 1, 3, 19, 57, 59, 177, 1121, 3363
The HCF of 9626,3363 is 1.
Lets's calculate GCF of 9626,3363
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9626,3363 By Matching Biggest Common Factor Method
Now, list down the factors of 9626
:1,2,4813,9626
Now, list down the factors of 3363
:1,3,19,57,59,177,1121,3363
Greatest Common Factor
We found the factors 9626,3363 . The biggest common factor number is the GCF number.
So the greatest common factor 9626,3363 is 1.
Lets's calculate LCM of 536,2514
| 2 | 536, 2514 |
| 268, 1257 |
∴ So the LCM of the given numbers is 2 x 268 x 1257 = 673752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/673752
Therefore, the GCF of Fractions 9626/536,3363/2514 is 1/673752
Least Common Multiple of 536,2514 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 536,2514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,2514) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(536,2514) x common factors =2 x 1 = 2
LCM(536,2514) = ( 536 × 2514 ) / 2
LCM(536,2514) = 1347504 / 2
LCM(536,2514) = 673752
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FAQs on GCF of Fractions of 9626/536, 3363/2514
1. What is the HCF of 9626,3363?
The HCF of 9626,3363 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 9626/536, 3363/2514?
Answer: GCF of Numerators as per given numbers 9626/536, 3363/2514 is
GCF of Numerators i.e. for 9626,3363 is 1
LCM of denominators i.e. for 536,2514 is 673752.
Thus, GCF of Fractions is 1/673752.Finally, GCF of Fractions for 9626/536, 3363/2514 is 1/673752.