GCF of 1468/567, 9700/1383
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1468/567, 9700/1383 i.e 4/261387 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1468/567, 9700/1383.
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 1468/567,9700/1383?
Given fractions are 1468/567,9700/1383
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 1468/567,9700/1383, numerators are 1468,9700
Denominators are 567,1383
The GCF of 1468,9700 is 4 .
LCM of 567,1383 is 261387.
The greatest common factor of 1468/567,9700/1383 = [GCF of 1468,9700]/[LCM of 567,1383]= 4/261387
Therefore, the GCF of 1468/567,9700/1383 is 4/261387.
To find the highest common factor of 1468,9700, we have to find the factors of both numbers and list the highest common factor.
The factors of 1468 are 1, 2, 4, 367, 734, 1468
The factors of 9700 are 1, 2, 4, 5, 10, 20, 25, 50, 97, 100, 194, 388, 485, 970, 1940, 2425, 4850, 9700
The HCF of 1468,9700 is 4.
Lets's calculate GCF of 1468,9700
| 2 | 1468, 9700 |
| 2 | 734, 4850 |
| 367, 2425 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1468,9700 By Matching Biggest Common Factor Method
Now, list down the factors of 1468
:1,2,4,367,734,1468
Now, list down the factors of 9700
:1,2,4,5,10,20,25,50,97,100,194,388,485,970,1940,2425,4850,9700
Greatest Common Factor
We found the factors 1468,9700 . The biggest common factor number is the GCF number.
So the greatest common factor 1468,9700 is 4.
Lets's calculate LCM of 567,1383
| 3 | 567, 1383 |
| 189, 461 |
∴ So the LCM of the given numbers is 3 x 189 x 461 = 261387
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/261387
Therefore, the GCF of Fractions 1468/567,9700/1383 is 4/261387
Least Common Multiple of 567,1383 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 567,1383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,1383) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(567,1383) x common factors =3 x 1 = 3
LCM(567,1383) = ( 567 × 1383 ) / 3
LCM(567,1383) = 784161 / 3
LCM(567,1383) = 261387
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FAQs on GCF of Fractions of 1468/567, 9700/1383
1. What is the HCF of 1468,9700?
The HCF of 1468,9700 is 4
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 1468/567, 9700/1383?
Answer: GCF of Numerators as per given numbers 1468/567, 9700/1383 is
GCF of Numerators i.e. for 1468,9700 is 4
LCM of denominators i.e. for 567,1383 is 261387.
Thus, GCF of Fractions is 4/261387.Finally, GCF of Fractions for 1468/567, 9700/1383 is 4/261387.