GCF of 4807/559, 1710/3569
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4807/559, 1710/3569 i.e 19/46397 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4807/559, 1710/3569.
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 4807/559,1710/3569?
Given fractions are 4807/559,1710/3569
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 4807/559,1710/3569, numerators are 4807,1710
Denominators are 559,3569
The GCF of 4807,1710 is 19 .
LCM of 559,3569 is 46397.
The greatest common factor of 4807/559,1710/3569 = [GCF of 4807,1710]/[LCM of 559,3569]= 19/46397
Therefore, the GCF of 4807/559,1710/3569 is 19/46397.
To find the highest common factor of 4807,1710, we have to find the factors of both numbers and list the highest common factor.
The factors of 4807 are 1, 11, 19, 23, 209, 253, 437, 4807
The factors of 1710 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 45, 57, 90, 95, 114, 171, 190, 285, 342, 570, 855, 1710
The HCF of 4807,1710 is 19.
Lets's calculate GCF of 4807,1710
| 19 | 4807, 1710 |
| 253, 90 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 4807,1710 By Matching Biggest Common Factor Method
Now, list down the factors of 4807
:1,11,19,23,209,253,437,4807
Now, list down the factors of 1710
:1,2,3,5,6,9,10,15,18,19,30,38,45,57,90,95,114,171,190,285,342,570,855,1710
Greatest Common Factor
We found the factors 4807,1710 . The biggest common factor number is the GCF number.
So the greatest common factor 4807,1710 is 19.
Lets's calculate LCM of 559,3569
| 43 | 559, 3569 |
| 13, 83 |
∴ So the LCM of the given numbers is 43 x 13 x 83 = 46397
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/46397
Therefore, the GCF of Fractions 4807/559,1710/3569 is 19/46397
Least Common Multiple of 559,3569 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 559,3569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,3569) = 43
common factors(in case of two or more numbers have common factors) = 1
GCF(559,3569) x common factors =43 x 1 = 43
LCM(559,3569) = ( 559 × 3569 ) / 43
LCM(559,3569) = 1995071 / 43
LCM(559,3569) = 46397
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FAQs on GCF of Fractions of 4807/559, 1710/3569
1. What is the HCF of 4807,1710?
The HCF of 4807,1710 is 19
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 4807/559, 1710/3569?
Answer: GCF of Numerators as per given numbers 4807/559, 1710/3569 is
GCF of Numerators i.e. for 4807,1710 is 19
LCM of denominators i.e. for 559,3569 is 46397.
Thus, GCF of Fractions is 19/46397.Finally, GCF of Fractions for 4807/559, 1710/3569 is 19/46397.