GCF of 9110/141, 8460/9145
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9110/141, 8460/9145 i.e 10/1289445 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9110/141, 8460/9145.
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 9110/141,8460/9145?
Given fractions are 9110/141,8460/9145
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 9110/141,8460/9145, numerators are 9110,8460
Denominators are 141,9145
The GCF of 9110,8460 is 10 .
LCM of 141,9145 is 1289445.
The greatest common factor of 9110/141,8460/9145 = [GCF of 9110,8460]/[LCM of 141,9145]= 10/1289445
Therefore, the GCF of 9110/141,8460/9145 is 10/1289445.
To find the highest common factor of 9110,8460, we have to find the factors of both numbers and list the highest common factor.
The factors of 9110 are 1, 2, 5, 10, 911, 1822, 4555, 9110
The factors of 8460 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 47, 60, 90, 94, 141, 180, 188, 235, 282, 423, 470, 564, 705, 846, 940, 1410, 1692, 2115, 2820, 4230, 8460
The HCF of 9110,8460 is 10.
Lets's calculate GCF of 9110,8460
| 2 | 9110, 8460 |
| 5 | 4555, 4230 |
| 911, 846 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9110,8460 By Matching Biggest Common Factor Method
Now, list down the factors of 9110
:1,2,5,10,911,1822,4555,9110
Now, list down the factors of 8460
:1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,47,60,90,94,141,180,188,235,282,423,470,564,705,846,940,1410,1692,2115,2820,4230,8460
Greatest Common Factor
We found the factors 9110,8460 . The biggest common factor number is the GCF number.
So the greatest common factor 9110,8460 is 10.
Lets's calculate LCM of 141,9145
Given numbers has no common factors except 1. So, there LCM is their product i.e 1289445
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1289445
Therefore, the GCF of Fractions 9110/141,8460/9145 is 10/1289445
Least Common Multiple of 141,9145 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 141,9145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,9145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(141,9145) x common factors =1 x 1 = 1
LCM(141,9145) = ( 141 × 9145 ) / 1
LCM(141,9145) = 1289445 / 1
LCM(141,9145) = 1289445
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FAQs on GCF of Fractions of 9110/141, 8460/9145
1. What is the HCF of 9110,8460?
The HCF of 9110,8460 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 9110/141, 8460/9145?
Answer: GCF of Numerators as per given numbers 9110/141, 8460/9145 is
GCF of Numerators i.e. for 9110,8460 is 10
LCM of denominators i.e. for 141,9145 is 1289445.
Thus, GCF of Fractions is 10/1289445.Finally, GCF of Fractions for 9110/141, 8460/9145 is 10/1289445.