GCF of 9271/175, 9940/1930
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9271/175, 9940/1930 i.e 1/67550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9271/175, 9940/1930.
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 9271/175,9940/1930?
Given fractions are 9271/175,9940/1930
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 9271/175,9940/1930, numerators are 9271,9940
Denominators are 175,1930
The GCF of 9271,9940 is 1 .
LCM of 175,1930 is 67550.
The greatest common factor of 9271/175,9940/1930 = [GCF of 9271,9940]/[LCM of 175,1930]= 1/67550
Therefore, the GCF of 9271/175,9940/1930 is 1/67550.
To find the highest common factor of 9271,9940, we have to find the factors of both numbers and list the highest common factor.
The factors of 9271 are 1, 73, 127, 9271
The factors of 9940 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 71, 140, 142, 284, 355, 497, 710, 994, 1420, 1988, 2485, 4970, 9940
The HCF of 9271,9940 is 1.
Lets's calculate GCF of 9271,9940
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9271,9940 By Matching Biggest Common Factor Method
Now, list down the factors of 9271
:1,73,127,9271
Now, list down the factors of 9940
:1,2,4,5,7,10,14,20,28,35,70,71,140,142,284,355,497,710,994,1420,1988,2485,4970,9940
Greatest Common Factor
We found the factors 9271,9940 . The biggest common factor number is the GCF number.
So the greatest common factor 9271,9940 is 1.
Lets's calculate LCM of 175,1930
| 5 | 175, 1930 |
| 35, 386 |
∴ So the LCM of the given numbers is 5 x 35 x 386 = 67550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67550
Therefore, the GCF of Fractions 9271/175,9940/1930 is 1/67550
Least Common Multiple of 175,1930 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 175,1930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,1930) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(175,1930) x common factors =5 x 1 = 5
LCM(175,1930) = ( 175 × 1930 ) / 5
LCM(175,1930) = 337750 / 5
LCM(175,1930) = 67550
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FAQs on GCF of Fractions of 9271/175, 9940/1930
1. What is the HCF of 9271,9940?
The HCF of 9271,9940 is 1
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 9271/175, 9940/1930?
Answer: GCF of Numerators as per given numbers 9271/175, 9940/1930 is
GCF of Numerators i.e. for 9271,9940 is 1
LCM of denominators i.e. for 175,1930 is 67550.
Thus, GCF of Fractions is 1/67550.Finally, GCF of Fractions for 9271/175, 9940/1930 is 1/67550.