GCF of 7210/553, 8925/730
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7210/553, 8925/730 i.e 35/403690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7210/553, 8925/730.
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 7210/553,8925/730?
Given fractions are 7210/553,8925/730
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 7210/553,8925/730, numerators are 7210,8925
Denominators are 553,730
The GCF of 7210,8925 is 35 .
LCM of 553,730 is 403690.
The greatest common factor of 7210/553,8925/730 = [GCF of 7210,8925]/[LCM of 553,730]= 35/403690
Therefore, the GCF of 7210/553,8925/730 is 35/403690.
To find the highest common factor of 7210,8925, we have to find the factors of both numbers and list the highest common factor.
The factors of 7210 are 1, 2, 5, 7, 10, 14, 35, 70, 103, 206, 515, 721, 1030, 1442, 3605, 7210
The factors of 8925 are 1, 3, 5, 7, 15, 17, 21, 25, 35, 51, 75, 85, 105, 119, 175, 255, 357, 425, 525, 595, 1275, 1785, 2975, 8925
The HCF of 7210,8925 is 35.
Lets's calculate GCF of 7210,8925
| 5 | 7210, 8925 |
| 7 | 1442, 1785 |
| 206, 255 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Greatest Common Factor of 7210,8925 By Matching Biggest Common Factor Method
Now, list down the factors of 7210
:1,2,5,7,10,14,35,70,103,206,515,721,1030,1442,3605,7210
Now, list down the factors of 8925
:1,3,5,7,15,17,21,25,35,51,75,85,105,119,175,255,357,425,525,595,1275,1785,2975,8925
Greatest Common Factor
We found the factors 7210,8925 . The biggest common factor number is the GCF number.
So the greatest common factor 7210,8925 is 35.
Lets's calculate LCM of 553,730
Given numbers has no common factors except 1. So, there LCM is their product i.e 403690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/403690
Therefore, the GCF of Fractions 7210/553,8925/730 is 35/403690
Least Common Multiple of 553,730 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 553,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(553,730) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(553,730) x common factors =1 x 1 = 1
LCM(553,730) = ( 553 × 730 ) / 1
LCM(553,730) = 403690 / 1
LCM(553,730) = 403690
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FAQs on GCF of Fractions of 7210/553, 8925/730
1. What is the HCF of 7210,8925?
The HCF of 7210,8925 is 35
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 7210/553, 8925/730?
Answer: GCF of Numerators as per given numbers 7210/553, 8925/730 is
GCF of Numerators i.e. for 7210,8925 is 35
LCM of denominators i.e. for 553,730 is 403690.
Thus, GCF of Fractions is 35/403690.Finally, GCF of Fractions for 7210/553, 8925/730 is 35/403690.