GCF of 9100/845, 8270/7419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9100/845, 8270/7419 i.e 10/6269055 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9100/845, 8270/7419.
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 9100/845,8270/7419?
Given fractions are 9100/845,8270/7419
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 9100/845,8270/7419, numerators are 9100,8270
Denominators are 845,7419
The GCF of 9100,8270 is 10 .
LCM of 845,7419 is 6269055.
The greatest common factor of 9100/845,8270/7419 = [GCF of 9100,8270]/[LCM of 845,7419]= 10/6269055
Therefore, the GCF of 9100/845,8270/7419 is 10/6269055.
To find the highest common factor of 9100,8270, we have to find the factors of both numbers and list the highest common factor.
The factors of 9100 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 50, 52, 65, 70, 91, 100, 130, 140, 175, 182, 260, 325, 350, 364, 455, 650, 700, 910, 1300, 1820, 2275, 4550, 9100
The factors of 8270 are 1, 2, 5, 10, 827, 1654, 4135, 8270
The HCF of 9100,8270 is 10.
Lets's calculate GCF of 9100,8270
| 2 | 9100, 8270 |
| 5 | 4550, 4135 |
| 910, 827 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9100,8270 By Matching Biggest Common Factor Method
Now, list down the factors of 9100
:1,2,4,5,7,10,13,14,20,25,26,28,35,50,52,65,70,91,100,130,140,175,182,260,325,350,364,455,650,700,910,1300,1820,2275,4550,9100
Now, list down the factors of 8270
:1,2,5,10,827,1654,4135,8270
Greatest Common Factor
We found the factors 9100,8270 . The biggest common factor number is the GCF number.
So the greatest common factor 9100,8270 is 10.
Lets's calculate LCM of 845,7419
Given numbers has no common factors except 1. So, there LCM is their product i.e 6269055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/6269055
Therefore, the GCF of Fractions 9100/845,8270/7419 is 10/6269055
Least Common Multiple of 845,7419 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 845,7419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,7419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(845,7419) x common factors =1 x 1 = 1
LCM(845,7419) = ( 845 × 7419 ) / 1
LCM(845,7419) = 6269055 / 1
LCM(845,7419) = 6269055
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FAQs on GCF of Fractions of 9100/845, 8270/7419
1. What is the HCF of 9100,8270?
The HCF of 9100,8270 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 9100/845, 8270/7419?
Answer: GCF of Numerators as per given numbers 9100/845, 8270/7419 is
GCF of Numerators i.e. for 9100,8270 is 10
LCM of denominators i.e. for 845,7419 is 6269055.
Thus, GCF of Fractions is 10/6269055.Finally, GCF of Fractions for 9100/845, 8270/7419 is 10/6269055.