GCF of 1180/561, 7210/8929
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1180/561, 7210/8929 i.e 10/5009169 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1180/561, 7210/8929.
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 1180/561,7210/8929?
Given fractions are 1180/561,7210/8929
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 1180/561,7210/8929, numerators are 1180,7210
Denominators are 561,8929
The GCF of 1180,7210 is 10 .
LCM of 561,8929 is 5009169.
The greatest common factor of 1180/561,7210/8929 = [GCF of 1180,7210]/[LCM of 561,8929]= 10/5009169
Therefore, the GCF of 1180/561,7210/8929 is 10/5009169.
To find the highest common factor of 1180,7210, we have to find the factors of both numbers and list the highest common factor.
The factors of 1180 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180
The factors of 7210 are 1, 2, 5, 7, 10, 14, 35, 70, 103, 206, 515, 721, 1030, 1442, 3605, 7210
The HCF of 1180,7210 is 10.
Lets's calculate GCF of 1180,7210
| 2 | 1180, 7210 |
| 5 | 590, 3605 |
| 118, 721 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 1180,7210 By Matching Biggest Common Factor Method
Now, list down the factors of 1180
:1,2,4,5,10,20,59,118,236,295,590,1180
Now, list down the factors of 7210
:1,2,5,7,10,14,35,70,103,206,515,721,1030,1442,3605,7210
Greatest Common Factor
We found the factors 1180,7210 . The biggest common factor number is the GCF number.
So the greatest common factor 1180,7210 is 10.
Lets's calculate LCM of 561,8929
Given numbers has no common factors except 1. So, there LCM is their product i.e 5009169
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/5009169
Therefore, the GCF of Fractions 1180/561,7210/8929 is 10/5009169
Least Common Multiple of 561,8929 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 561,8929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,8929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(561,8929) x common factors =1 x 1 = 1
LCM(561,8929) = ( 561 × 8929 ) / 1
LCM(561,8929) = 5009169 / 1
LCM(561,8929) = 5009169
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FAQs on GCF of Fractions of 1180/561, 7210/8929
1. What is the HCF of 1180,7210?
The HCF of 1180,7210 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 1180/561, 7210/8929?
Answer: GCF of Numerators as per given numbers 1180/561, 7210/8929 is
GCF of Numerators i.e. for 1180,7210 is 10
LCM of denominators i.e. for 561,8929 is 5009169.
Thus, GCF of Fractions is 10/5009169.Finally, GCF of Fractions for 1180/561, 7210/8929 is 10/5009169.