GCF of 14/359, 803/763, 382/718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 14/359, 803/763, 382/718 i.e 1/547834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/359, 803/763, 382/718.
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 14/359,803/763,382/718?
Given fractions are 14/359,803/763,382/718
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 14/359,803/763,382/718, numerators are 14,803,382
Denominators are 359,763,718
The GCF of 14,803,382 is 1 .
LCM of 359,763,718 is 547834.
The greatest common factor of 14/359,803/763,382/718 = [GCF of 14,803,382]/[LCM of 359,763,718]= 1/547834
Therefore, the GCF of 14/359,803/763,382/718 is 1/547834.
To find the highest common factor of 14,803,382, 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 803 are 1, 11, 73, 803
The factors of 382 are 1, 2, 191, 382
The HCF of 14,803,382 is 1.
Lets's calculate GCF of 14,803,382
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 14,803,382 By Matching Biggest Common Factor Method
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 803
:1,11,73,803
Now, list down the factors of 382
:1,2,191,382
Greatest Common Factor
We found the factors 14,803,382 . The biggest common factor number is the GCF number.
So the greatest common factor 14,803,382 is 1.
Lets's calculate LCM of 359,763,718
| 359 | 359, 763, 718 |
| 1, 763, 2 |
∴ So the LCM of the given numbers is 359 x 1 x 763 x 2 = 547834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/547834
Therefore, the GCF of Fractions 14/359,803/763,382/718 is 1/547834
Least Common Multiple of 359,763,718 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 359,763,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(359,763,718) = 1
common factors(in case of two or more numbers have common factors) = 359
GCF(359,763,718) x common factors =1 x 359 = 359
LCM(359,763,718) = ( 359 × 763 × 718 ) / 359
LCM(359,763,718) = 196672406 / 359
LCM(359,763,718) = 547834
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FAQs on GCF of Fractions of 14/359, 803/763, 382/718
1. What is the HCF of 14,803,382?
The HCF of 14,803,382 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 14/359, 803/763, 382/718?
Answer: GCF of Numerators as per given numbers 14/359, 803/763, 382/718 is
GCF of Numerators i.e. for 14,803,382 is 1
LCM of denominators i.e. for 359,763,718 is 547834.
Thus, GCF of Fractions is 1/547834.Finally, GCF of Fractions for 14/359, 803/763, 382/718 is 1/547834.