GCF of 14/312, 597/798, 436/997
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 14/312, 597/798, 436/997 i.e 1/41371512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/312, 597/798, 436/997.
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 14/312,597/798,436/997?
Given fractions are 14/312,597/798,436/997
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 14/312,597/798,436/997, numerators are 14,597,436
Denominators are 312,798,997
The GCF of 14,597,436 is 1 .
LCM of 312,798,997 is 41371512.
The greatest common factor of 14/312,597/798,436/997 = [GCF of 14,597,436]/[LCM of 312,798,997]= 1/41371512
Therefore, the GCF of 14/312,597/798,436/997 is 1/41371512.
To find the highest common factor of 14,597,436, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 597 are 1, 3, 199, 597
The factors of 436 are 1, 2, 4, 109, 218, 436
The HCF of 14,597,436 is 1.
Lets's calculate GCF of 14,597,436
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 14,597,436 By Matching Biggest Common Factor Method
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 597
:1,3,199,597
Now, list down the factors of 436
:1,2,4,109,218,436
Greatest Common Factor
We found the factors 14,597,436 . The biggest common factor number is the GCF number.
So the greatest common factor 14,597,436 is 1.
Lets's calculate LCM of 312,798,997
| 2 | 312, 798, 997 |
| 3 | 156, 399, 997 |
| 52, 133, 997 |
∴ So the LCM of the given numbers is 2 x 3 x 52 x 133 x 997 = 41371512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41371512
Therefore, the GCF of Fractions 14/312,597/798,436/997 is 1/41371512
Least Common Multiple of 312,798,997 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 312,798,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,798,997) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(312,798,997) x common factors =1 x 6 = 6
LCM(312,798,997) = ( 312 × 798 × 997 ) / 6
LCM(312,798,997) = 248229072 / 6
LCM(312,798,997) = 41371512
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FAQs on GCF of Fractions of 14/312, 597/798, 436/997
1. What is the HCF of 14,597,436?
The HCF of 14,597,436 is 1
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 14/312, 597/798, 436/997?
Answer: GCF of Numerators as per given numbers 14/312, 597/798, 436/997 is
GCF of Numerators i.e. for 14,597,436 is 1
LCM of denominators i.e. for 312,798,997 is 41371512.
Thus, GCF of Fractions is 1/41371512.Finally, GCF of Fractions for 14/312, 597/798, 436/997 is 1/41371512.