GCF of 1440/851, 9261/1034
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1440/851, 9261/1034 i.e 9/879934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1440/851, 9261/1034.
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 1440/851,9261/1034?
Given fractions are 1440/851,9261/1034
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 1440/851,9261/1034, numerators are 1440,9261
Denominators are 851,1034
The GCF of 1440,9261 is 9 .
LCM of 851,1034 is 879934.
The greatest common factor of 1440/851,9261/1034 = [GCF of 1440,9261]/[LCM of 851,1034]= 9/879934
Therefore, the GCF of 1440/851,9261/1034 is 9/879934.
To find the highest common factor of 1440,9261, we have to find the factors of both numbers and list the highest common factor.
The factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440
The factors of 9261 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 343, 441, 1029, 1323, 3087, 9261
The HCF of 1440,9261 is 9.
Lets's calculate GCF of 1440,9261
| 3 | 1440, 9261 |
| 3 | 480, 3087 |
| 160, 1029 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 1440,9261 By Matching Biggest Common Factor Method
Now, list down the factors of 1440
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,72,80,90,96,120,144,160,180,240,288,360,480,720,1440
Now, list down the factors of 9261
:1,3,7,9,21,27,49,63,147,189,343,441,1029,1323,3087,9261
Greatest Common Factor
We found the factors 1440,9261 . The biggest common factor number is the GCF number.
So the greatest common factor 1440,9261 is 9.
Lets's calculate LCM of 851,1034
Given numbers has no common factors except 1. So, there LCM is their product i.e 879934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/879934
Therefore, the GCF of Fractions 1440/851,9261/1034 is 9/879934
Least Common Multiple of 851,1034 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 851,1034 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,1034) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,1034) x common factors =1 x 1 = 1
LCM(851,1034) = ( 851 × 1034 ) / 1
LCM(851,1034) = 879934 / 1
LCM(851,1034) = 879934
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FAQs on GCF of Fractions of 1440/851, 9261/1034
1. What is the HCF of 1440,9261?
The HCF of 1440,9261 is 9
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 1440/851, 9261/1034?
Answer: GCF of Numerators as per given numbers 1440/851, 9261/1034 is
GCF of Numerators i.e. for 1440,9261 is 9
LCM of denominators i.e. for 851,1034 is 879934.
Thus, GCF of Fractions is 9/879934.Finally, GCF of Fractions for 1440/851, 9261/1034 is 9/879934.