GCF of 705/623, 7704/944
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 705/623, 7704/944 i.e 3/588112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 705/623, 7704/944.
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 705/623,7704/944?
Given fractions are 705/623,7704/944
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 705/623,7704/944, numerators are 705,7704
Denominators are 623,944
The GCF of 705,7704 is 3 .
LCM of 623,944 is 588112.
The greatest common factor of 705/623,7704/944 = [GCF of 705,7704]/[LCM of 623,944]= 3/588112
Therefore, the GCF of 705/623,7704/944 is 3/588112.
To find the highest common factor of 705,7704, 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 7704 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 107, 214, 321, 428, 642, 856, 963, 1284, 1926, 2568, 3852, 7704
The HCF of 705,7704 is 3.
Lets's calculate GCF of 705,7704
| 3 | 705, 7704 |
| 235, 2568 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 705,7704 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 7704
:1,2,3,4,6,8,9,12,18,24,36,72,107,214,321,428,642,856,963,1284,1926,2568,3852,7704
Greatest Common Factor
We found the factors 705,7704 . The biggest common factor number is the GCF number.
So the greatest common factor 705,7704 is 3.
Lets's calculate LCM of 623,944
Given numbers has no common factors except 1. So, there LCM is their product i.e 588112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/588112
Therefore, the GCF of Fractions 705/623,7704/944 is 3/588112
Least Common Multiple of 623,944 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 623,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,944) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,944) x common factors =1 x 1 = 1
LCM(623,944) = ( 623 × 944 ) / 1
LCM(623,944) = 588112 / 1
LCM(623,944) = 588112
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FAQs on GCF of Fractions of 705/623, 7704/944
1. What is the HCF of 705,7704?
The HCF of 705,7704 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 705/623, 7704/944?
Answer: GCF of Numerators as per given numbers 705/623, 7704/944 is
GCF of Numerators i.e. for 705,7704 is 3
LCM of denominators i.e. for 623,944 is 588112.
Thus, GCF of Fractions is 3/588112.Finally, GCF of Fractions for 705/623, 7704/944 is 3/588112.