GCF of 740/82, 785/164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 740/82, 785/164 i.e 5/164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 740/82, 785/164.
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 740/82,785/164?
Given fractions are 740/82,785/164
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 740/82,785/164, numerators are 740,785
Denominators are 82,164
The GCF of 740,785 is 5 .
LCM of 82,164 is 164.
The greatest common factor of 740/82,785/164 = [GCF of 740,785]/[LCM of 82,164]= 5/164
Therefore, the GCF of 740/82,785/164 is 5/164.
To find the highest common factor of 740,785, we have to find the factors of both numbers and list the highest common factor.
The factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
The factors of 785 are 1, 5, 157, 785
The HCF of 740,785 is 5.
Lets's calculate GCF of 740,785
| 5 | 740, 785 |
| 148, 157 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 740,785 By Matching Biggest Common Factor Method
Now, list down the factors of 740
:1,2,4,5,10,20,37,74,148,185,370,740
Now, list down the factors of 785
:1,5,157,785
Greatest Common Factor
We found the factors 740,785 . The biggest common factor number is the GCF number.
So the greatest common factor 740,785 is 5.
Lets's calculate LCM of 82,164
| 2 | 82, 164 |
| 41 | 41, 82 |
| 1, 2 |
∴ So the LCM of the given numbers is 2 x 41 x 1 x 2 = 164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/164
Therefore, the GCF of Fractions 740/82,785/164 is 5/164
Least Common Multiple of 82,164 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 82,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,164) = 82
common factors(in case of two or more numbers have common factors) = 1
GCF(82,164) x common factors =82 x 1 = 82
LCM(82,164) = ( 82 × 164 ) / 82
LCM(82,164) = 13448 / 82
LCM(82,164) = 164
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 740/82, 785/164
1. What is the HCF of 740,785?
The HCF of 740,785 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 740/82, 785/164?
Answer: GCF of Numerators as per given numbers 740/82, 785/164 is
GCF of Numerators i.e. for 740,785 is 5
LCM of denominators i.e. for 82,164 is 164.
Thus, GCF of Fractions is 5/164.Finally, GCF of Fractions for 740/82, 785/164 is 5/164.