GCF of 4689/218, 1767/7106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4689/218, 1767/7106 i.e 3/774554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4689/218, 1767/7106.
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 4689/218,1767/7106?
Given fractions are 4689/218,1767/7106
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 4689/218,1767/7106, numerators are 4689,1767
Denominators are 218,7106
The GCF of 4689,1767 is 3 .
LCM of 218,7106 is 774554.
The greatest common factor of 4689/218,1767/7106 = [GCF of 4689,1767]/[LCM of 218,7106]= 3/774554
Therefore, the GCF of 4689/218,1767/7106 is 3/774554.
To find the highest common factor of 4689,1767, we have to find the factors of both numbers and list the highest common factor.
The factors of 4689 are 1, 3, 9, 521, 1563, 4689
The factors of 1767 are 1, 3, 19, 31, 57, 93, 589, 1767
The HCF of 4689,1767 is 3.
Lets's calculate GCF of 4689,1767
| 3 | 4689, 1767 |
| 1563, 589 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4689,1767 By Matching Biggest Common Factor Method
Now, list down the factors of 4689
:1,3,9,521,1563,4689
Now, list down the factors of 1767
:1,3,19,31,57,93,589,1767
Greatest Common Factor
We found the factors 4689,1767 . The biggest common factor number is the GCF number.
So the greatest common factor 4689,1767 is 3.
Lets's calculate LCM of 218,7106
| 2 | 218, 7106 |
| 109, 3553 |
∴ So the LCM of the given numbers is 2 x 109 x 3553 = 774554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/774554
Therefore, the GCF of Fractions 4689/218,1767/7106 is 3/774554
Least Common Multiple of 218,7106 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 218,7106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,7106) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(218,7106) x common factors =2 x 1 = 2
LCM(218,7106) = ( 218 × 7106 ) / 2
LCM(218,7106) = 1549108 / 2
LCM(218,7106) = 774554
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FAQs on GCF of Fractions of 4689/218, 1767/7106
1. What is the HCF of 4689,1767?
The HCF of 4689,1767 is 3
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 4689/218, 1767/7106?
Answer: GCF of Numerators as per given numbers 4689/218, 1767/7106 is
GCF of Numerators i.e. for 4689,1767 is 3
LCM of denominators i.e. for 218,7106 is 774554.
Thus, GCF of Fractions is 3/774554.Finally, GCF of Fractions for 4689/218, 1767/7106 is 3/774554.