GCF of 1798/722, 4513/736
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1798/722, 4513/736 i.e 1/265696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1798/722, 4513/736.
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 1798/722,4513/736?
Given fractions are 1798/722,4513/736
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 1798/722,4513/736, numerators are 1798,4513
Denominators are 722,736
The GCF of 1798,4513 is 1 .
LCM of 722,736 is 265696.
The greatest common factor of 1798/722,4513/736 = [GCF of 1798,4513]/[LCM of 722,736]= 1/265696
Therefore, the GCF of 1798/722,4513/736 is 1/265696.
To find the highest common factor of 1798,4513, we have to find the factors of both numbers and list the highest common factor.
The factors of 1798 are 1, 2, 29, 31, 58, 62, 899, 1798
The factors of 4513 are 1, 4513
The HCF of 1798,4513 is 1.
Lets's calculate GCF of 1798,4513
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1798,4513 By Matching Biggest Common Factor Method
Now, list down the factors of 1798
:1,2,29,31,58,62,899,1798
Now, list down the factors of 4513
:1,4513
Greatest Common Factor
We found the factors 1798,4513 . The biggest common factor number is the GCF number.
So the greatest common factor 1798,4513 is 1.
Lets's calculate LCM of 722,736
| 2 | 722, 736 |
| 361, 368 |
∴ So the LCM of the given numbers is 2 x 361 x 368 = 265696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265696
Therefore, the GCF of Fractions 1798/722,4513/736 is 1/265696
Least Common Multiple of 722,736 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 722,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,736) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,736) x common factors =2 x 1 = 2
LCM(722,736) = ( 722 × 736 ) / 2
LCM(722,736) = 531392 / 2
LCM(722,736) = 265696
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FAQs on GCF of Fractions of 1798/722, 4513/736
1. What is the HCF of 1798,4513?
The HCF of 1798,4513 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 1798/722, 4513/736?
Answer: GCF of Numerators as per given numbers 1798/722, 4513/736 is
GCF of Numerators i.e. for 1798,4513 is 1
LCM of denominators i.e. for 722,736 is 265696.
Thus, GCF of Fractions is 1/265696.Finally, GCF of Fractions for 1798/722, 4513/736 is 1/265696.