GCF of 738/585, 203/736, 962/718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 738/585, 203/736, 962/718 i.e 1/154571040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 738/585, 203/736, 962/718.
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 738/585,203/736,962/718?
Given fractions are 738/585,203/736,962/718
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 738/585,203/736,962/718, numerators are 738,203,962
Denominators are 585,736,718
The GCF of 738,203,962 is 1 .
LCM of 585,736,718 is 154571040.
The greatest common factor of 738/585,203/736,962/718 = [GCF of 738,203,962]/[LCM of 585,736,718]= 1/154571040
Therefore, the GCF of 738/585,203/736,962/718 is 1/154571040.
To find the highest common factor of 738,203,962, we have to find the factors of both numbers and list the highest common factor.
The factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
The factors of 203 are 1, 7, 29, 203
The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962
The HCF of 738,203,962 is 1.
Lets's calculate GCF of 738,203,962
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 738,203,962 By Matching Biggest Common Factor Method
Now, list down the factors of 738
:1,2,3,6,9,18,41,82,123,246,369,738
Now, list down the factors of 203
:1,7,29,203
Now, list down the factors of 962
:1,2,13,26,37,74,481,962
Greatest Common Factor
We found the factors 738,203,962 . The biggest common factor number is the GCF number.
So the greatest common factor 738,203,962 is 1.
Lets's calculate LCM of 585,736,718
| 2 | 585, 736, 718 |
| 585, 368, 359 |
∴ So the LCM of the given numbers is 2 x 585 x 368 x 359 = 154571040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/154571040
Therefore, the GCF of Fractions 738/585,203/736,962/718 is 1/154571040
Least Common Multiple of 585,736,718 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 585,736,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,736,718) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(585,736,718) x common factors =1 x 2 = 2
LCM(585,736,718) = ( 585 × 736 × 718 ) / 2
LCM(585,736,718) = 309142080 / 2
LCM(585,736,718) = 154571040
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 738/585, 203/736, 962/718
1. What is the HCF of 738,203,962?
The HCF of 738,203,962 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 738/585, 203/736, 962/718?
Answer: GCF of Numerators as per given numbers 738/585, 203/736, 962/718 is
GCF of Numerators i.e. for 738,203,962 is 1
LCM of denominators i.e. for 585,736,718 is 154571040.
Thus, GCF of Fractions is 1/154571040.Finally, GCF of Fractions for 738/585, 203/736, 962/718 is 1/154571040.