GCF of 5893/770, 3818/7665
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5893/770, 3818/7665 i.e 83/168630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5893/770, 3818/7665.
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 5893/770,3818/7665?
Given fractions are 5893/770,3818/7665
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 5893/770,3818/7665, numerators are 5893,3818
Denominators are 770,7665
The GCF of 5893,3818 is 83 .
LCM of 770,7665 is 168630.
The greatest common factor of 5893/770,3818/7665 = [GCF of 5893,3818]/[LCM of 770,7665]= 83/168630
Therefore, the GCF of 5893/770,3818/7665 is 83/168630.
To find the highest common factor of 5893,3818, we have to find the factors of both numbers and list the highest common factor.
The factors of 5893 are 1, 71, 83, 5893
The factors of 3818 are 1, 2, 23, 46, 83, 166, 1909, 3818
The HCF of 5893,3818 is 83.
Lets's calculate GCF of 5893,3818
| 83 | 5893, 3818 |
| 71, 46 |
∴ So the GCF of the given numbers is 83 = 83
Greatest Common Factor of 5893,3818 By Matching Biggest Common Factor Method
Now, list down the factors of 5893
:1,71,83,5893
Now, list down the factors of 3818
:1,2,23,46,83,166,1909,3818
Greatest Common Factor
We found the factors 5893,3818 . The biggest common factor number is the GCF number.
So the greatest common factor 5893,3818 is 83.
Lets's calculate LCM of 770,7665
| 5 | 770, 7665 |
| 7 | 154, 1533 |
| 22, 219 |
∴ So the LCM of the given numbers is 5 x 7 x 22 x 219 = 168630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 83/168630
Therefore, the GCF of Fractions 5893/770,3818/7665 is 83/168630
Least Common Multiple of 770,7665 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 770,7665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,7665) = 35
common factors(in case of two or more numbers have common factors) = 1
GCF(770,7665) x common factors =35 x 1 = 35
LCM(770,7665) = ( 770 × 7665 ) / 35
LCM(770,7665) = 5902050 / 35
LCM(770,7665) = 168630
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FAQs on GCF of Fractions of 5893/770, 3818/7665
1. What is the HCF of 5893,3818?
The HCF of 5893,3818 is 83
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 5893/770, 3818/7665?
Answer: GCF of Numerators as per given numbers 5893/770, 3818/7665 is
GCF of Numerators i.e. for 5893,3818 is 83
LCM of denominators i.e. for 770,7665 is 168630.
Thus, GCF of Fractions is 83/168630.Finally, GCF of Fractions for 5893/770, 3818/7665 is 83/168630.