GCF of 682/80, 760/352
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 682/80, 760/352 i.e 2/1760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 682/80, 760/352.
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 682/80,760/352?
Given fractions are 682/80,760/352
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 682/80,760/352, numerators are 682,760
Denominators are 80,352
The GCF of 682,760 is 2 .
LCM of 80,352 is 1760.
The greatest common factor of 682/80,760/352 = [GCF of 682,760]/[LCM of 80,352]= 2/1760
Therefore, the GCF of 682/80,760/352 is 2/1760.
To find the highest common factor of 682,760, we have to find the factors of both numbers and list the highest common factor.
The factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682
The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
The HCF of 682,760 is 2.
Lets's calculate GCF of 682,760
| 2 | 682, 760 |
| 341, 380 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 682,760 By Matching Biggest Common Factor Method
Now, list down the factors of 682
:1,2,11,22,31,62,341,682
Now, list down the factors of 760
:1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Greatest Common Factor
We found the factors 682,760 . The biggest common factor number is the GCF number.
So the greatest common factor 682,760 is 2.
Lets's calculate LCM of 80,352
| 2 | 80, 352 |
| 2 | 40, 176 |
| 2 | 20, 88 |
| 2 | 10, 44 |
| 5, 22 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 22 = 1760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1760
Therefore, the GCF of Fractions 682/80,760/352 is 2/1760
Least Common Multiple of 80,352 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 80,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,352) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(80,352) x common factors =16 x 1 = 16
LCM(80,352) = ( 80 × 352 ) / 16
LCM(80,352) = 28160 / 16
LCM(80,352) = 1760
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FAQs on GCF of Fractions of 682/80, 760/352
1. What is the HCF of 682,760?
The HCF of 682,760 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 682/80, 760/352?
Answer: GCF of Numerators as per given numbers 682/80, 760/352 is
GCF of Numerators i.e. for 682,760 is 2
LCM of denominators i.e. for 80,352 is 1760.
Thus, GCF of Fractions is 2/1760.Finally, GCF of Fractions for 682/80, 760/352 is 2/1760.