GCF of 4703/218, 7162/398
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4703/218, 7162/398 i.e 1/43382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4703/218, 7162/398.
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 4703/218,7162/398?
Given fractions are 4703/218,7162/398
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 4703/218,7162/398, numerators are 4703,7162
Denominators are 218,398
The GCF of 4703,7162 is 1 .
LCM of 218,398 is 43382.
The greatest common factor of 4703/218,7162/398 = [GCF of 4703,7162]/[LCM of 218,398]= 1/43382
Therefore, the GCF of 4703/218,7162/398 is 1/43382.
To find the highest common factor of 4703,7162, we have to find the factors of both numbers and list the highest common factor.
The factors of 4703 are 1, 4703
The factors of 7162 are 1, 2, 3581, 7162
The HCF of 4703,7162 is 1.
Lets's calculate GCF of 4703,7162
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4703,7162 By Matching Biggest Common Factor Method
Now, list down the factors of 4703
:1,4703
Now, list down the factors of 7162
:1,2,3581,7162
Greatest Common Factor
We found the factors 4703,7162 . The biggest common factor number is the GCF number.
So the greatest common factor 4703,7162 is 1.
Lets's calculate LCM of 218,398
| 2 | 218, 398 |
| 109, 199 |
∴ So the LCM of the given numbers is 2 x 109 x 199 = 43382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43382
Therefore, the GCF of Fractions 4703/218,7162/398 is 1/43382
Least Common Multiple of 218,398 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 218,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,398) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(218,398) x common factors =2 x 1 = 2
LCM(218,398) = ( 218 × 398 ) / 2
LCM(218,398) = 86764 / 2
LCM(218,398) = 43382
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FAQs on GCF of Fractions of 4703/218, 7162/398
1. What is the HCF of 4703,7162?
The HCF of 4703,7162 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 4703/218, 7162/398?
Answer: GCF of Numerators as per given numbers 4703/218, 7162/398 is
GCF of Numerators i.e. for 4703,7162 is 1
LCM of denominators i.e. for 218,398 is 43382.
Thus, GCF of Fractions is 1/43382.Finally, GCF of Fractions for 4703/218, 7162/398 is 1/43382.