GCF of 4091/970, 8670/2280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4091/970, 8670/2280 i.e 1/221160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4091/970, 8670/2280.
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 4091/970,8670/2280?
Given fractions are 4091/970,8670/2280
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 4091/970,8670/2280, numerators are 4091,8670
Denominators are 970,2280
The GCF of 4091,8670 is 1 .
LCM of 970,2280 is 221160.
The greatest common factor of 4091/970,8670/2280 = [GCF of 4091,8670]/[LCM of 970,2280]= 1/221160
Therefore, the GCF of 4091/970,8670/2280 is 1/221160.
To find the highest common factor of 4091,8670, we have to find the factors of both numbers and list the highest common factor.
The factors of 4091 are 1, 4091
The factors of 8670 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 289, 510, 578, 867, 1445, 1734, 2890, 4335, 8670
The HCF of 4091,8670 is 1.
Lets's calculate GCF of 4091,8670
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4091,8670 By Matching Biggest Common Factor Method
Now, list down the factors of 4091
:1,4091
Now, list down the factors of 8670
:1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,289,510,578,867,1445,1734,2890,4335,8670
Greatest Common Factor
We found the factors 4091,8670 . The biggest common factor number is the GCF number.
So the greatest common factor 4091,8670 is 1.
Lets's calculate LCM of 970,2280
| 2 | 970, 2280 |
| 5 | 485, 1140 |
| 97, 228 |
∴ So the LCM of the given numbers is 2 x 5 x 97 x 228 = 221160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221160
Therefore, the GCF of Fractions 4091/970,8670/2280 is 1/221160
Least Common Multiple of 970,2280 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 970,2280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,2280) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(970,2280) x common factors =10 x 1 = 10
LCM(970,2280) = ( 970 × 2280 ) / 10
LCM(970,2280) = 2211600 / 10
LCM(970,2280) = 221160
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FAQs on GCF of Fractions of 4091/970, 8670/2280
1. What is the HCF of 4091,8670?
The HCF of 4091,8670 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 4091/970, 8670/2280?
Answer: GCF of Numerators as per given numbers 4091/970, 8670/2280 is
GCF of Numerators i.e. for 4091,8670 is 1
LCM of denominators i.e. for 970,2280 is 221160.
Thus, GCF of Fractions is 1/221160.Finally, GCF of Fractions for 4091/970, 8670/2280 is 1/221160.