GCF of 758/16, 262/613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 758/16, 262/613 i.e 2/9808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 758/16, 262/613.
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 758/16,262/613?
Given fractions are 758/16,262/613
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 758/16,262/613, numerators are 758,262
Denominators are 16,613
The GCF of 758,262 is 2 .
LCM of 16,613 is 9808.
The greatest common factor of 758/16,262/613 = [GCF of 758,262]/[LCM of 16,613]= 2/9808
Therefore, the GCF of 758/16,262/613 is 2/9808.
To find the highest common factor of 758,262, we have to find the factors of both numbers and list the highest common factor.
The factors of 758 are 1, 2, 379, 758
The factors of 262 are 1, 2, 131, 262
The HCF of 758,262 is 2.
Lets's calculate GCF of 758,262
| 2 | 758, 262 |
| 379, 131 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 758,262 By Matching Biggest Common Factor Method
Now, list down the factors of 758
:1,2,379,758
Now, list down the factors of 262
:1,2,131,262
Greatest Common Factor
We found the factors 758,262 . The biggest common factor number is the GCF number.
So the greatest common factor 758,262 is 2.
Lets's calculate LCM of 16,613
Given numbers has no common factors except 1. So, there LCM is their product i.e 9808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9808
Therefore, the GCF of Fractions 758/16,262/613 is 2/9808
Least Common Multiple of 16,613 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 16,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,613) x common factors =1 x 1 = 1
LCM(16,613) = ( 16 × 613 ) / 1
LCM(16,613) = 9808 / 1
LCM(16,613) = 9808
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 758/16, 262/613
1. What is the HCF of 758,262?
The HCF of 758,262 is 2
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 758/16, 262/613?
Answer: GCF of Numerators as per given numbers 758/16, 262/613 is
GCF of Numerators i.e. for 758,262 is 2
LCM of denominators i.e. for 16,613 is 9808.
Thus, GCF of Fractions is 2/9808.Finally, GCF of Fractions for 758/16, 262/613 is 2/9808.