GCF of 1958/372, 1714/9603
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1958/372, 1714/9603 i.e 2/1190772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1958/372, 1714/9603.
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 1958/372,1714/9603?
Given fractions are 1958/372,1714/9603
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 1958/372,1714/9603, numerators are 1958,1714
Denominators are 372,9603
The GCF of 1958,1714 is 2 .
LCM of 372,9603 is 1190772.
The greatest common factor of 1958/372,1714/9603 = [GCF of 1958,1714]/[LCM of 372,9603]= 2/1190772
Therefore, the GCF of 1958/372,1714/9603 is 2/1190772.
To find the highest common factor of 1958,1714, we have to find the factors of both numbers and list the highest common factor.
The factors of 1958 are 1, 2, 11, 22, 89, 178, 979, 1958
The factors of 1714 are 1, 2, 857, 1714
The HCF of 1958,1714 is 2.
Lets's calculate GCF of 1958,1714
| 2 | 1958, 1714 |
| 979, 857 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1958,1714 By Matching Biggest Common Factor Method
Now, list down the factors of 1958
:1,2,11,22,89,178,979,1958
Now, list down the factors of 1714
:1,2,857,1714
Greatest Common Factor
We found the factors 1958,1714 . The biggest common factor number is the GCF number.
So the greatest common factor 1958,1714 is 2.
Lets's calculate LCM of 372,9603
| 3 | 372, 9603 |
| 124, 3201 |
∴ So the LCM of the given numbers is 3 x 124 x 3201 = 1190772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1190772
Therefore, the GCF of Fractions 1958/372,1714/9603 is 2/1190772
Least Common Multiple of 372,9603 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 372,9603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,9603) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(372,9603) x common factors =3 x 1 = 3
LCM(372,9603) = ( 372 × 9603 ) / 3
LCM(372,9603) = 3572316 / 3
LCM(372,9603) = 1190772
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FAQs on GCF of Fractions of 1958/372, 1714/9603
1. What is the HCF of 1958,1714?
The HCF of 1958,1714 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 1958/372, 1714/9603?
Answer: GCF of Numerators as per given numbers 1958/372, 1714/9603 is
GCF of Numerators i.e. for 1958,1714 is 2
LCM of denominators i.e. for 372,9603 is 1190772.
Thus, GCF of Fractions is 2/1190772.Finally, GCF of Fractions for 1958/372, 1714/9603 is 2/1190772.