GCF of 6785/158, 4390/7728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6785/158, 4390/7728 i.e 5/610512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6785/158, 4390/7728.
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 6785/158,4390/7728?
Given fractions are 6785/158,4390/7728
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 6785/158,4390/7728, numerators are 6785,4390
Denominators are 158,7728
The GCF of 6785,4390 is 5 .
LCM of 158,7728 is 610512.
The greatest common factor of 6785/158,4390/7728 = [GCF of 6785,4390]/[LCM of 158,7728]= 5/610512
Therefore, the GCF of 6785/158,4390/7728 is 5/610512.
To find the highest common factor of 6785,4390, we have to find the factors of both numbers and list the highest common factor.
The factors of 6785 are 1, 5, 23, 59, 115, 295, 1357, 6785
The factors of 4390 are 1, 2, 5, 10, 439, 878, 2195, 4390
The HCF of 6785,4390 is 5.
Lets's calculate GCF of 6785,4390
| 5 | 6785, 4390 |
| 1357, 878 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6785,4390 By Matching Biggest Common Factor Method
Now, list down the factors of 6785
:1,5,23,59,115,295,1357,6785
Now, list down the factors of 4390
:1,2,5,10,439,878,2195,4390
Greatest Common Factor
We found the factors 6785,4390 . The biggest common factor number is the GCF number.
So the greatest common factor 6785,4390 is 5.
Lets's calculate LCM of 158,7728
| 2 | 158, 7728 |
| 79, 3864 |
∴ So the LCM of the given numbers is 2 x 79 x 3864 = 610512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/610512
Therefore, the GCF of Fractions 6785/158,4390/7728 is 5/610512
Least Common Multiple of 158,7728 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 158,7728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,7728) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(158,7728) x common factors =2 x 1 = 2
LCM(158,7728) = ( 158 × 7728 ) / 2
LCM(158,7728) = 1221024 / 2
LCM(158,7728) = 610512
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FAQs on GCF of Fractions of 6785/158, 4390/7728
1. What is the HCF of 6785,4390?
The HCF of 6785,4390 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 6785/158, 4390/7728?
Answer: GCF of Numerators as per given numbers 6785/158, 4390/7728 is
GCF of Numerators i.e. for 6785,4390 is 5
LCM of denominators i.e. for 158,7728 is 610512.
Thus, GCF of Fractions is 5/610512.Finally, GCF of Fractions for 6785/158, 4390/7728 is 5/610512.