GCF of 1140/995, 9790/9723
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1140/995, 9790/9723 i.e 10/9674385 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1140/995, 9790/9723.
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 1140/995,9790/9723?
Given fractions are 1140/995,9790/9723
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 1140/995,9790/9723, numerators are 1140,9790
Denominators are 995,9723
The GCF of 1140,9790 is 10 .
LCM of 995,9723 is 9674385.
The greatest common factor of 1140/995,9790/9723 = [GCF of 1140,9790]/[LCM of 995,9723]= 10/9674385
Therefore, the GCF of 1140/995,9790/9723 is 10/9674385.
To find the highest common factor of 1140,9790, we have to find the factors of both numbers and list the highest common factor.
The factors of 1140 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140
The factors of 9790 are 1, 2, 5, 10, 11, 22, 55, 89, 110, 178, 445, 890, 979, 1958, 4895, 9790
The HCF of 1140,9790 is 10.
Lets's calculate GCF of 1140,9790
| 2 | 1140, 9790 |
| 5 | 570, 4895 |
| 114, 979 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 1140,9790 By Matching Biggest Common Factor Method
Now, list down the factors of 1140
:1,2,3,4,5,6,10,12,15,19,20,30,38,57,60,76,95,114,190,228,285,380,570,1140
Now, list down the factors of 9790
:1,2,5,10,11,22,55,89,110,178,445,890,979,1958,4895,9790
Greatest Common Factor
We found the factors 1140,9790 . The biggest common factor number is the GCF number.
So the greatest common factor 1140,9790 is 10.
Lets's calculate LCM of 995,9723
Given numbers has no common factors except 1. So, there LCM is their product i.e 9674385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/9674385
Therefore, the GCF of Fractions 1140/995,9790/9723 is 10/9674385
Least Common Multiple of 995,9723 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 995,9723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,9723) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(995,9723) x common factors =1 x 1 = 1
LCM(995,9723) = ( 995 × 9723 ) / 1
LCM(995,9723) = 9674385 / 1
LCM(995,9723) = 9674385
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FAQs on GCF of Fractions of 1140/995, 9790/9723
1. What is the HCF of 1140,9790?
The HCF of 1140,9790 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 1140/995, 9790/9723?
Answer: GCF of Numerators as per given numbers 1140/995, 9790/9723 is
GCF of Numerators i.e. for 1140,9790 is 10
LCM of denominators i.e. for 995,9723 is 9674385.
Thus, GCF of Fractions is 10/9674385.Finally, GCF of Fractions for 1140/995, 9790/9723 is 10/9674385.