GCF of 3800/533, 9100/8169
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3800/533, 9100/8169 i.e 100/4354077 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3800/533, 9100/8169.
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 3800/533,9100/8169?
Given fractions are 3800/533,9100/8169
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 3800/533,9100/8169, numerators are 3800,9100
Denominators are 533,8169
The GCF of 3800,9100 is 100 .
LCM of 533,8169 is 4354077.
The greatest common factor of 3800/533,9100/8169 = [GCF of 3800,9100]/[LCM of 533,8169]= 100/4354077
Therefore, the GCF of 3800/533,9100/8169 is 100/4354077.
To find the highest common factor of 3800,9100, we have to find the factors of both numbers and list the highest common factor.
The factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800
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 HCF of 3800,9100 is 100.
Lets's calculate GCF of 3800,9100
| 2 | 3800, 9100 |
| 2 | 1900, 4550 |
| 5 | 950, 2275 |
| 5 | 190, 455 |
| 38, 91 |
∴ So the GCF of the given numbers is 2 x 2 x 5 x 5 = 100
Greatest Common Factor of 3800,9100 By Matching Biggest Common Factor Method
Now, list down the factors of 3800
:1,2,4,5,8,10,19,20,25,38,40,50,76,95,100,152,190,200,380,475,760,950,1900,3800
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
Greatest Common Factor
We found the factors 3800,9100 . The biggest common factor number is the GCF number.
So the greatest common factor 3800,9100 is 100.
Lets's calculate LCM of 533,8169
Given numbers has no common factors except 1. So, there LCM is their product i.e 4354077
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 100/4354077
Therefore, the GCF of Fractions 3800/533,9100/8169 is 100/4354077
Least Common Multiple of 533,8169 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 533,8169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,8169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,8169) x common factors =1 x 1 = 1
LCM(533,8169) = ( 533 × 8169 ) / 1
LCM(533,8169) = 4354077 / 1
LCM(533,8169) = 4354077
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3800/533, 9100/8169
1. What is the HCF of 3800,9100?
The HCF of 3800,9100 is 100
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 3800/533, 9100/8169?
Answer: GCF of Numerators as per given numbers 3800/533, 9100/8169 is
GCF of Numerators i.e. for 3800,9100 is 100
LCM of denominators i.e. for 533,8169 is 4354077.
Thus, GCF of Fractions is 100/4354077.Finally, GCF of Fractions for 3800/533, 9100/8169 is 100/4354077.