GCF of 710/263, 382/329
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 710/263, 382/329 i.e 2/86527 easily. The following is the detailed procedure to determine the greatest common factor of fractions 710/263, 382/329.
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 710/263,382/329?
Given fractions are 710/263,382/329
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 710/263,382/329, numerators are 710,382
Denominators are 263,329
The GCF of 710,382 is 2 .
LCM of 263,329 is 86527.
The greatest common factor of 710/263,382/329 = [GCF of 710,382]/[LCM of 263,329]= 2/86527
Therefore, the GCF of 710/263,382/329 is 2/86527.
To find the highest common factor of 710,382, we have to find the factors of both numbers and list the highest common factor.
The factors of 710 are 1, 2, 5, 10, 71, 142, 355, 710
The factors of 382 are 1, 2, 191, 382
The HCF of 710,382 is 2.
Lets's calculate GCF of 710,382
| 2 | 710, 382 |
| 355, 191 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 710,382 By Matching Biggest Common Factor Method
Now, list down the factors of 710
:1,2,5,10,71,142,355,710
Now, list down the factors of 382
:1,2,191,382
Greatest Common Factor
We found the factors 710,382 . The biggest common factor number is the GCF number.
So the greatest common factor 710,382 is 2.
Lets's calculate LCM of 263,329
Given numbers has no common factors except 1. So, there LCM is their product i.e 86527
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/86527
Therefore, the GCF of Fractions 710/263,382/329 is 2/86527
Least Common Multiple of 263,329 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 263,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(263,329) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(263,329) x common factors =1 x 1 = 1
LCM(263,329) = ( 263 × 329 ) / 1
LCM(263,329) = 86527 / 1
LCM(263,329) = 86527
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FAQs on GCF of Fractions of 710/263, 382/329
1. What is the HCF of 710,382?
The HCF of 710,382 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 710/263, 382/329?
Answer: GCF of Numerators as per given numbers 710/263, 382/329 is
GCF of Numerators i.e. for 710,382 is 2
LCM of denominators i.e. for 263,329 is 86527.
Thus, GCF of Fractions is 2/86527.Finally, GCF of Fractions for 710/263, 382/329 is 2/86527.