GCF of 705/923, 444/730, 520/697
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 705/923, 444/730, 520/697 i.e 1/469631630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 705/923, 444/730, 520/697.
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 705/923,444/730,520/697?
Given fractions are 705/923,444/730,520/697
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 705/923,444/730,520/697, numerators are 705,444,520
Denominators are 923,730,697
The GCF of 705,444,520 is 1 .
LCM of 923,730,697 is 469631630.
The greatest common factor of 705/923,444/730,520/697 = [GCF of 705,444,520]/[LCM of 923,730,697]= 1/469631630
Therefore, the GCF of 705/923,444/730,520/697 is 1/469631630.
To find the highest common factor of 705,444,520, we have to find the factors of both numbers and list the highest common factor.
The factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705
The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
The factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
The HCF of 705,444,520 is 1.
Lets's calculate GCF of 705,444,520
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 705,444,520 By Matching Biggest Common Factor Method
Now, list down the factors of 705
:1,3,5,15,47,141,235,705
Now, list down the factors of 444
:1,2,3,4,6,12,37,74,111,148,222,444
Now, list down the factors of 520
:1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Greatest Common Factor
We found the factors 705,444,520 . The biggest common factor number is the GCF number.
So the greatest common factor 705,444,520 is 1.
Lets's calculate LCM of 923,730,697
Given numbers has no common factors except 1. So, there LCM is their product i.e 469631630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/469631630
Therefore, the GCF of Fractions 705/923,444/730,520/697 is 1/469631630
Least Common Multiple of 923,730,697 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 923,730,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,730,697) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,730,697) x common factors =1 x 1 = 1
LCM(923,730,697) = ( 923 × 730 × 697 ) / 1
LCM(923,730,697) = 469631630 / 1
LCM(923,730,697) = 469631630
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 705/923, 444/730, 520/697
1. What is the HCF of 705,444,520?
The HCF of 705,444,520 is 1
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 705/923, 444/730, 520/697?
Answer: GCF of Numerators as per given numbers 705/923, 444/730, 520/697 is
GCF of Numerators i.e. for 705,444,520 is 1
LCM of denominators i.e. for 923,730,697 is 469631630.
Thus, GCF of Fractions is 1/469631630.Finally, GCF of Fractions for 705/923, 444/730, 520/697 is 1/469631630.