GCF of 3232/644, 3710/670
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3232/644, 3710/670 i.e 2/215740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3232/644, 3710/670.
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 3232/644,3710/670?
Given fractions are 3232/644,3710/670
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 3232/644,3710/670, numerators are 3232,3710
Denominators are 644,670
The GCF of 3232,3710 is 2 .
LCM of 644,670 is 215740.
The greatest common factor of 3232/644,3710/670 = [GCF of 3232,3710]/[LCM of 644,670]= 2/215740
Therefore, the GCF of 3232/644,3710/670 is 2/215740.
To find the highest common factor of 3232,3710, we have to find the factors of both numbers and list the highest common factor.
The factors of 3232 are 1, 2, 4, 8, 16, 32, 101, 202, 404, 808, 1616, 3232
The factors of 3710 are 1, 2, 5, 7, 10, 14, 35, 53, 70, 106, 265, 371, 530, 742, 1855, 3710
The HCF of 3232,3710 is 2.
Lets's calculate GCF of 3232,3710
| 2 | 3232, 3710 |
| 1616, 1855 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3232,3710 By Matching Biggest Common Factor Method
Now, list down the factors of 3232
:1,2,4,8,16,32,101,202,404,808,1616,3232
Now, list down the factors of 3710
:1,2,5,7,10,14,35,53,70,106,265,371,530,742,1855,3710
Greatest Common Factor
We found the factors 3232,3710 . The biggest common factor number is the GCF number.
So the greatest common factor 3232,3710 is 2.
Lets's calculate LCM of 644,670
| 2 | 644, 670 |
| 322, 335 |
∴ So the LCM of the given numbers is 2 x 322 x 335 = 215740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/215740
Therefore, the GCF of Fractions 3232/644,3710/670 is 2/215740
Least Common Multiple of 644,670 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 644,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,670) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(644,670) x common factors =2 x 1 = 2
LCM(644,670) = ( 644 × 670 ) / 2
LCM(644,670) = 431480 / 2
LCM(644,670) = 215740
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FAQs on GCF of Fractions of 3232/644, 3710/670
1. What is the HCF of 3232,3710?
The HCF of 3232,3710 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 3232/644, 3710/670?
Answer: GCF of Numerators as per given numbers 3232/644, 3710/670 is
GCF of Numerators i.e. for 3232,3710 is 2
LCM of denominators i.e. for 644,670 is 215740.
Thus, GCF of Fractions is 2/215740.Finally, GCF of Fractions for 3232/644, 3710/670 is 2/215740.