GCF of 4639/462, 6788/2778
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4639/462, 6788/2778 i.e 1/213906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4639/462, 6788/2778.
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 4639/462,6788/2778?
Given fractions are 4639/462,6788/2778
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 4639/462,6788/2778, numerators are 4639,6788
Denominators are 462,2778
The GCF of 4639,6788 is 1 .
LCM of 462,2778 is 213906.
The greatest common factor of 4639/462,6788/2778 = [GCF of 4639,6788]/[LCM of 462,2778]= 1/213906
Therefore, the GCF of 4639/462,6788/2778 is 1/213906.
To find the highest common factor of 4639,6788, we have to find the factors of both numbers and list the highest common factor.
The factors of 4639 are 1, 4639
The factors of 6788 are 1, 2, 4, 1697, 3394, 6788
The HCF of 4639,6788 is 1.
Lets's calculate GCF of 4639,6788
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4639,6788 By Matching Biggest Common Factor Method
Now, list down the factors of 4639
:1,4639
Now, list down the factors of 6788
:1,2,4,1697,3394,6788
Greatest Common Factor
We found the factors 4639,6788 . The biggest common factor number is the GCF number.
So the greatest common factor 4639,6788 is 1.
Lets's calculate LCM of 462,2778
| 2 | 462, 2778 |
| 3 | 231, 1389 |
| 77, 463 |
∴ So the LCM of the given numbers is 2 x 3 x 77 x 463 = 213906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213906
Therefore, the GCF of Fractions 4639/462,6788/2778 is 1/213906
Least Common Multiple of 462,2778 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 462,2778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,2778) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(462,2778) x common factors =6 x 1 = 6
LCM(462,2778) = ( 462 × 2778 ) / 6
LCM(462,2778) = 1283436 / 6
LCM(462,2778) = 213906
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FAQs on GCF of Fractions of 4639/462, 6788/2778
1. What is the HCF of 4639,6788?
The HCF of 4639,6788 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 4639/462, 6788/2778?
Answer: GCF of Numerators as per given numbers 4639/462, 6788/2778 is
GCF of Numerators i.e. for 4639,6788 is 1
LCM of denominators i.e. for 462,2778 is 213906.
Thus, GCF of Fractions is 1/213906.Finally, GCF of Fractions for 4639/462, 6788/2778 is 1/213906.