GCF of 4671/762, 4698/5870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4671/762, 4698/5870 i.e 27/2236470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4671/762, 4698/5870.
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 4671/762,4698/5870?
Given fractions are 4671/762,4698/5870
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 4671/762,4698/5870, numerators are 4671,4698
Denominators are 762,5870
The GCF of 4671,4698 is 27 .
LCM of 762,5870 is 2236470.
The greatest common factor of 4671/762,4698/5870 = [GCF of 4671,4698]/[LCM of 762,5870]= 27/2236470
Therefore, the GCF of 4671/762,4698/5870 is 27/2236470.
To find the highest common factor of 4671,4698, we have to find the factors of both numbers and list the highest common factor.
The factors of 4671 are 1, 3, 9, 27, 173, 519, 1557, 4671
The factors of 4698 are 1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 81, 87, 162, 174, 261, 522, 783, 1566, 2349, 4698
The HCF of 4671,4698 is 27.
Lets's calculate GCF of 4671,4698
| 3 | 4671, 4698 |
| 3 | 1557, 1566 |
| 3 | 519, 522 |
| 173, 174 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 4671,4698 By Matching Biggest Common Factor Method
Now, list down the factors of 4671
:1,3,9,27,173,519,1557,4671
Now, list down the factors of 4698
:1,2,3,6,9,18,27,29,54,58,81,87,162,174,261,522,783,1566,2349,4698
Greatest Common Factor
We found the factors 4671,4698 . The biggest common factor number is the GCF number.
So the greatest common factor 4671,4698 is 27.
Lets's calculate LCM of 762,5870
| 2 | 762, 5870 |
| 381, 2935 |
∴ So the LCM of the given numbers is 2 x 381 x 2935 = 2236470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/2236470
Therefore, the GCF of Fractions 4671/762,4698/5870 is 27/2236470
Least Common Multiple of 762,5870 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 762,5870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,5870) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(762,5870) x common factors =2 x 1 = 2
LCM(762,5870) = ( 762 × 5870 ) / 2
LCM(762,5870) = 4472940 / 2
LCM(762,5870) = 2236470
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FAQs on GCF of Fractions of 4671/762, 4698/5870
1. What is the HCF of 4671,4698?
The HCF of 4671,4698 is 27
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 4671/762, 4698/5870?
Answer: GCF of Numerators as per given numbers 4671/762, 4698/5870 is
GCF of Numerators i.e. for 4671,4698 is 27
LCM of denominators i.e. for 762,5870 is 2236470.
Thus, GCF of Fractions is 27/2236470.Finally, GCF of Fractions for 4671/762, 4698/5870 is 27/2236470.