GCF of 7510/849, 1210/9407
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7510/849, 1210/9407 i.e 10/7986543 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7510/849, 1210/9407.
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 7510/849,1210/9407?
Given fractions are 7510/849,1210/9407
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 7510/849,1210/9407, numerators are 7510,1210
Denominators are 849,9407
The GCF of 7510,1210 is 10 .
LCM of 849,9407 is 7986543.
The greatest common factor of 7510/849,1210/9407 = [GCF of 7510,1210]/[LCM of 849,9407]= 10/7986543
Therefore, the GCF of 7510/849,1210/9407 is 10/7986543.
To find the highest common factor of 7510,1210, we have to find the factors of both numbers and list the highest common factor.
The factors of 7510 are 1, 2, 5, 10, 751, 1502, 3755, 7510
The factors of 1210 are 1, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605, 1210
The HCF of 7510,1210 is 10.
Lets's calculate GCF of 7510,1210
| 2 | 7510, 1210 |
| 5 | 3755, 605 |
| 751, 121 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7510,1210 By Matching Biggest Common Factor Method
Now, list down the factors of 7510
:1,2,5,10,751,1502,3755,7510
Now, list down the factors of 1210
:1,2,5,10,11,22,55,110,121,242,605,1210
Greatest Common Factor
We found the factors 7510,1210 . The biggest common factor number is the GCF number.
So the greatest common factor 7510,1210 is 10.
Lets's calculate LCM of 849,9407
Given numbers has no common factors except 1. So, there LCM is their product i.e 7986543
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/7986543
Therefore, the GCF of Fractions 7510/849,1210/9407 is 10/7986543
Least Common Multiple of 849,9407 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 849,9407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,9407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(849,9407) x common factors =1 x 1 = 1
LCM(849,9407) = ( 849 × 9407 ) / 1
LCM(849,9407) = 7986543 / 1
LCM(849,9407) = 7986543
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FAQs on GCF of Fractions of 7510/849, 1210/9407
1. What is the HCF of 7510,1210?
The HCF of 7510,1210 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 7510/849, 1210/9407?
Answer: GCF of Numerators as per given numbers 7510/849, 1210/9407 is
GCF of Numerators i.e. for 7510,1210 is 10
LCM of denominators i.e. for 849,9407 is 7986543.
Thus, GCF of Fractions is 10/7986543.Finally, GCF of Fractions for 7510/849, 1210/9407 is 10/7986543.