GCF of 639/53, 705/313
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 639/53, 705/313 i.e 3/16589 easily. The following is the detailed procedure to determine the greatest common factor of fractions 639/53, 705/313.
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 639/53,705/313?
Given fractions are 639/53,705/313
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 639/53,705/313, numerators are 639,705
Denominators are 53,313
The GCF of 639,705 is 3 .
LCM of 53,313 is 16589.
The greatest common factor of 639/53,705/313 = [GCF of 639,705]/[LCM of 53,313]= 3/16589
Therefore, the GCF of 639/53,705/313 is 3/16589.
To find the highest common factor of 639,705, we have to find the factors of both numbers and list the highest common factor.
The factors of 639 are 1, 3, 9, 71, 213, 639
The factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705
The HCF of 639,705 is 3.
Lets's calculate GCF of 639,705
| 3 | 639, 705 |
| 213, 235 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 639,705 By Matching Biggest Common Factor Method
Now, list down the factors of 639
:1,3,9,71,213,639
Now, list down the factors of 705
:1,3,5,15,47,141,235,705
Greatest Common Factor
We found the factors 639,705 . The biggest common factor number is the GCF number.
So the greatest common factor 639,705 is 3.
Lets's calculate LCM of 53,313
Given numbers has no common factors except 1. So, there LCM is their product i.e 16589
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/16589
Therefore, the GCF of Fractions 639/53,705/313 is 3/16589
Least Common Multiple of 53,313 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 53,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,313) x common factors =1 x 1 = 1
LCM(53,313) = ( 53 × 313 ) / 1
LCM(53,313) = 16589 / 1
LCM(53,313) = 16589
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FAQs on GCF of Fractions of 639/53, 705/313
1. What is the HCF of 639,705?
The HCF of 639,705 is 3
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 639/53, 705/313?
Answer: GCF of Numerators as per given numbers 639/53, 705/313 is
GCF of Numerators i.e. for 639,705 is 3
LCM of denominators i.e. for 53,313 is 16589.
Thus, GCF of Fractions is 3/16589.Finally, GCF of Fractions for 639/53, 705/313 is 3/16589.