GCF of 640/505, 714/369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 640/505, 714/369 i.e 2/186345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 640/505, 714/369.
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 640/505,714/369?
Given fractions are 640/505,714/369
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 640/505,714/369, numerators are 640,714
Denominators are 505,369
The GCF of 640,714 is 2 .
LCM of 505,369 is 186345.
The greatest common factor of 640/505,714/369 = [GCF of 640,714]/[LCM of 505,369]= 2/186345
Therefore, the GCF of 640/505,714/369 is 2/186345.
To find the highest common factor of 640,714, we have to find the factors of both numbers and list the highest common factor.
The factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
The factors of 714 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
The HCF of 640,714 is 2.
Lets's calculate GCF of 640,714
| 2 | 640, 714 |
| 320, 357 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 640,714 By Matching Biggest Common Factor Method
Now, list down the factors of 640
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Now, list down the factors of 714
:1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Greatest Common Factor
We found the factors 640,714 . The biggest common factor number is the GCF number.
So the greatest common factor 640,714 is 2.
Lets's calculate LCM of 505,369
Given numbers has no common factors except 1. So, there LCM is their product i.e 186345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/186345
Therefore, the GCF of Fractions 640/505,714/369 is 2/186345
Least Common Multiple of 505,369 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 505,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(505,369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(505,369) x common factors =1 x 1 = 1
LCM(505,369) = ( 505 × 369 ) / 1
LCM(505,369) = 186345 / 1
LCM(505,369) = 186345
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FAQs on GCF of Fractions of 640/505, 714/369
1. What is the HCF of 640,714?
The HCF of 640,714 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 640/505, 714/369?
Answer: GCF of Numerators as per given numbers 640/505, 714/369 is
GCF of Numerators i.e. for 640,714 is 2
LCM of denominators i.e. for 505,369 is 186345.
Thus, GCF of Fractions is 2/186345.Finally, GCF of Fractions for 640/505, 714/369 is 2/186345.