GCF of 8330/522, 5380/1207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8330/522, 5380/1207 i.e 10/630054 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8330/522, 5380/1207.
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 8330/522,5380/1207?
Given fractions are 8330/522,5380/1207
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 8330/522,5380/1207, numerators are 8330,5380
Denominators are 522,1207
The GCF of 8330,5380 is 10 .
LCM of 522,1207 is 630054.
The greatest common factor of 8330/522,5380/1207 = [GCF of 8330,5380]/[LCM of 522,1207]= 10/630054
Therefore, the GCF of 8330/522,5380/1207 is 10/630054.
To find the highest common factor of 8330,5380, we have to find the factors of both numbers and list the highest common factor.
The factors of 8330 are 1, 2, 5, 7, 10, 14, 17, 34, 35, 49, 70, 85, 98, 119, 170, 238, 245, 490, 595, 833, 1190, 1666, 4165, 8330
The factors of 5380 are 1, 2, 4, 5, 10, 20, 269, 538, 1076, 1345, 2690, 5380
The HCF of 8330,5380 is 10.
Lets's calculate GCF of 8330,5380
| 2 | 8330, 5380 |
| 5 | 4165, 2690 |
| 833, 538 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8330,5380 By Matching Biggest Common Factor Method
Now, list down the factors of 8330
:1,2,5,7,10,14,17,34,35,49,70,85,98,119,170,238,245,490,595,833,1190,1666,4165,8330
Now, list down the factors of 5380
:1,2,4,5,10,20,269,538,1076,1345,2690,5380
Greatest Common Factor
We found the factors 8330,5380 . The biggest common factor number is the GCF number.
So the greatest common factor 8330,5380 is 10.
Lets's calculate LCM of 522,1207
Given numbers has no common factors except 1. So, there LCM is their product i.e 630054
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/630054
Therefore, the GCF of Fractions 8330/522,5380/1207 is 10/630054
Least Common Multiple of 522,1207 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 522,1207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,1207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(522,1207) x common factors =1 x 1 = 1
LCM(522,1207) = ( 522 × 1207 ) / 1
LCM(522,1207) = 630054 / 1
LCM(522,1207) = 630054
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FAQs on GCF of Fractions of 8330/522, 5380/1207
1. What is the HCF of 8330,5380?
The HCF of 8330,5380 is 10
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 8330/522, 5380/1207?
Answer: GCF of Numerators as per given numbers 8330/522, 5380/1207 is
GCF of Numerators i.e. for 8330,5380 is 10
LCM of denominators i.e. for 522,1207 is 630054.
Thus, GCF of Fractions is 10/630054.Finally, GCF of Fractions for 8330/522, 5380/1207 is 10/630054.