GCF of 2064/721, 1422/1703
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2064/721, 1422/1703 i.e 6/1227863 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2064/721, 1422/1703.
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 2064/721,1422/1703?
Given fractions are 2064/721,1422/1703
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 2064/721,1422/1703, numerators are 2064,1422
Denominators are 721,1703
The GCF of 2064,1422 is 6 .
LCM of 721,1703 is 1227863.
The greatest common factor of 2064/721,1422/1703 = [GCF of 2064,1422]/[LCM of 721,1703]= 6/1227863
Therefore, the GCF of 2064/721,1422/1703 is 6/1227863.
To find the highest common factor of 2064,1422, we have to find the factors of both numbers and list the highest common factor.
The factors of 2064 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 43, 48, 86, 129, 172, 258, 344, 516, 688, 1032, 2064
The factors of 1422 are 1, 2, 3, 6, 9, 18, 79, 158, 237, 474, 711, 1422
The HCF of 2064,1422 is 6.
Lets's calculate GCF of 2064,1422
| 2 | 2064, 1422 |
| 3 | 1032, 711 |
| 344, 237 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2064,1422 By Matching Biggest Common Factor Method
Now, list down the factors of 2064
:1,2,3,4,6,8,12,16,24,43,48,86,129,172,258,344,516,688,1032,2064
Now, list down the factors of 1422
:1,2,3,6,9,18,79,158,237,474,711,1422
Greatest Common Factor
We found the factors 2064,1422 . The biggest common factor number is the GCF number.
So the greatest common factor 2064,1422 is 6.
Lets's calculate LCM of 721,1703
Given numbers has no common factors except 1. So, there LCM is their product i.e 1227863
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1227863
Therefore, the GCF of Fractions 2064/721,1422/1703 is 6/1227863
Least Common Multiple of 721,1703 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 721,1703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,1703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(721,1703) x common factors =1 x 1 = 1
LCM(721,1703) = ( 721 × 1703 ) / 1
LCM(721,1703) = 1227863 / 1
LCM(721,1703) = 1227863
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2064/721, 1422/1703
1. What is the HCF of 2064,1422?
The HCF of 2064,1422 is 6
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 2064/721, 1422/1703?
Answer: GCF of Numerators as per given numbers 2064/721, 1422/1703 is
GCF of Numerators i.e. for 2064,1422 is 6
LCM of denominators i.e. for 721,1703 is 1227863.
Thus, GCF of Fractions is 6/1227863.Finally, GCF of Fractions for 2064/721, 1422/1703 is 6/1227863.