GCF of 9704/143, 7434/1573
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9704/143, 7434/1573 i.e 2/1573 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9704/143, 7434/1573.
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 9704/143,7434/1573?
Given fractions are 9704/143,7434/1573
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 9704/143,7434/1573, numerators are 9704,7434
Denominators are 143,1573
The GCF of 9704,7434 is 2 .
LCM of 143,1573 is 1573.
The greatest common factor of 9704/143,7434/1573 = [GCF of 9704,7434]/[LCM of 143,1573]= 2/1573
Therefore, the GCF of 9704/143,7434/1573 is 2/1573.
To find the highest common factor of 9704,7434, we have to find the factors of both numbers and list the highest common factor.
The factors of 9704 are 1, 2, 4, 8, 1213, 2426, 4852, 9704
The factors of 7434 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 59, 63, 118, 126, 177, 354, 413, 531, 826, 1062, 1239, 2478, 3717, 7434
The HCF of 9704,7434 is 2.
Lets's calculate GCF of 9704,7434
| 2 | 9704, 7434 |
| 4852, 3717 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9704,7434 By Matching Biggest Common Factor Method
Now, list down the factors of 9704
:1,2,4,8,1213,2426,4852,9704
Now, list down the factors of 7434
:1,2,3,6,7,9,14,18,21,42,59,63,118,126,177,354,413,531,826,1062,1239,2478,3717,7434
Greatest Common Factor
We found the factors 9704,7434 . The biggest common factor number is the GCF number.
So the greatest common factor 9704,7434 is 2.
Lets's calculate LCM of 143,1573
| 11 | 143, 1573 |
| 13 | 13, 143 |
| 1, 11 |
∴ So the LCM of the given numbers is 11 x 13 x 1 x 11 = 1573
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1573
Therefore, the GCF of Fractions 9704/143,7434/1573 is 2/1573
Least Common Multiple of 143,1573 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 143,1573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,1573) = 143
common factors(in case of two or more numbers have common factors) = 1
GCF(143,1573) x common factors =143 x 1 = 143
LCM(143,1573) = ( 143 × 1573 ) / 143
LCM(143,1573) = 224939 / 143
LCM(143,1573) = 1573
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FAQs on GCF of Fractions of 9704/143, 7434/1573
1. What is the HCF of 9704,7434?
The HCF of 9704,7434 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 9704/143, 7434/1573?
Answer: GCF of Numerators as per given numbers 9704/143, 7434/1573 is
GCF of Numerators i.e. for 9704,7434 is 2
LCM of denominators i.e. for 143,1573 is 1573.
Thus, GCF of Fractions is 2/1573.Finally, GCF of Fractions for 9704/143, 7434/1573 is 2/1573.