GCF of 5890/779, 8435/722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5890/779, 8435/722 i.e 5/29602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5890/779, 8435/722.
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 5890/779,8435/722?
Given fractions are 5890/779,8435/722
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 5890/779,8435/722, numerators are 5890,8435
Denominators are 779,722
The GCF of 5890,8435 is 5 .
LCM of 779,722 is 29602.
The greatest common factor of 5890/779,8435/722 = [GCF of 5890,8435]/[LCM of 779,722]= 5/29602
Therefore, the GCF of 5890/779,8435/722 is 5/29602.
To find the highest common factor of 5890,8435, we have to find the factors of both numbers and list the highest common factor.
The factors of 5890 are 1, 2, 5, 10, 19, 31, 38, 62, 95, 155, 190, 310, 589, 1178, 2945, 5890
The factors of 8435 are 1, 5, 7, 35, 241, 1205, 1687, 8435
The HCF of 5890,8435 is 5.
Lets's calculate GCF of 5890,8435
| 5 | 5890, 8435 |
| 1178, 1687 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5890,8435 By Matching Biggest Common Factor Method
Now, list down the factors of 5890
:1,2,5,10,19,31,38,62,95,155,190,310,589,1178,2945,5890
Now, list down the factors of 8435
:1,5,7,35,241,1205,1687,8435
Greatest Common Factor
We found the factors 5890,8435 . The biggest common factor number is the GCF number.
So the greatest common factor 5890,8435 is 5.
Lets's calculate LCM of 779,722
| 19 | 779, 722 |
| 41, 38 |
∴ So the LCM of the given numbers is 19 x 41 x 38 = 29602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/29602
Therefore, the GCF of Fractions 5890/779,8435/722 is 5/29602
Least Common Multiple of 779,722 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 779,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,722) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(779,722) x common factors =19 x 1 = 19
LCM(779,722) = ( 779 × 722 ) / 19
LCM(779,722) = 562438 / 19
LCM(779,722) = 29602
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FAQs on GCF of Fractions of 5890/779, 8435/722
1. What is the HCF of 5890,8435?
The HCF of 5890,8435 is 5
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 5890/779, 8435/722?
Answer: GCF of Numerators as per given numbers 5890/779, 8435/722 is
GCF of Numerators i.e. for 5890,8435 is 5
LCM of denominators i.e. for 779,722 is 29602.
Thus, GCF of Fractions is 5/29602.Finally, GCF of Fractions for 5890/779, 8435/722 is 5/29602.