GCF of 3700/110, 9810/575
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3700/110, 9810/575 i.e 10/12650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3700/110, 9810/575.
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 3700/110,9810/575?
Given fractions are 3700/110,9810/575
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 3700/110,9810/575, numerators are 3700,9810
Denominators are 110,575
The GCF of 3700,9810 is 10 .
LCM of 110,575 is 12650.
The greatest common factor of 3700/110,9810/575 = [GCF of 3700,9810]/[LCM of 110,575]= 10/12650
Therefore, the GCF of 3700/110,9810/575 is 10/12650.
To find the highest common factor of 3700,9810, we have to find the factors of both numbers and list the highest common factor.
The factors of 3700 are 1, 2, 4, 5, 10, 20, 25, 37, 50, 74, 100, 148, 185, 370, 740, 925, 1850, 3700
The factors of 9810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 109, 218, 327, 545, 654, 981, 1090, 1635, 1962, 3270, 4905, 9810
The HCF of 3700,9810 is 10.
Lets's calculate GCF of 3700,9810
| 2 | 3700, 9810 |
| 5 | 1850, 4905 |
| 370, 981 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 3700,9810 By Matching Biggest Common Factor Method
Now, list down the factors of 3700
:1,2,4,5,10,20,25,37,50,74,100,148,185,370,740,925,1850,3700
Now, list down the factors of 9810
:1,2,3,5,6,9,10,15,18,30,45,90,109,218,327,545,654,981,1090,1635,1962,3270,4905,9810
Greatest Common Factor
We found the factors 3700,9810 . The biggest common factor number is the GCF number.
So the greatest common factor 3700,9810 is 10.
Lets's calculate LCM of 110,575
| 5 | 110, 575 |
| 22, 115 |
∴ So the LCM of the given numbers is 5 x 22 x 115 = 12650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/12650
Therefore, the GCF of Fractions 3700/110,9810/575 is 10/12650
Least Common Multiple of 110,575 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 110,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(110,575) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(110,575) x common factors =5 x 1 = 5
LCM(110,575) = ( 110 × 575 ) / 5
LCM(110,575) = 63250 / 5
LCM(110,575) = 12650
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FAQs on GCF of Fractions of 3700/110, 9810/575
1. What is the HCF of 3700,9810?
The HCF of 3700,9810 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 3700/110, 9810/575?
Answer: GCF of Numerators as per given numbers 3700/110, 9810/575 is
GCF of Numerators i.e. for 3700,9810 is 10
LCM of denominators i.e. for 110,575 is 12650.
Thus, GCF of Fractions is 10/12650.Finally, GCF of Fractions for 3700/110, 9810/575 is 10/12650.