GCF of 4823/187, 5649/3371
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4823/187, 5649/3371 i.e 7/630377 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4823/187, 5649/3371.
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 4823/187,5649/3371?
Given fractions are 4823/187,5649/3371
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 4823/187,5649/3371, numerators are 4823,5649
Denominators are 187,3371
The GCF of 4823,5649 is 7 .
LCM of 187,3371 is 630377.
The greatest common factor of 4823/187,5649/3371 = [GCF of 4823,5649]/[LCM of 187,3371]= 7/630377
Therefore, the GCF of 4823/187,5649/3371 is 7/630377.
To find the highest common factor of 4823,5649, we have to find the factors of both numbers and list the highest common factor.
The factors of 4823 are 1, 7, 13, 53, 91, 371, 689, 4823
The factors of 5649 are 1, 3, 7, 21, 269, 807, 1883, 5649
The HCF of 4823,5649 is 7.
Lets's calculate GCF of 4823,5649
| 7 | 4823, 5649 |
| 689, 807 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4823,5649 By Matching Biggest Common Factor Method
Now, list down the factors of 4823
:1,7,13,53,91,371,689,4823
Now, list down the factors of 5649
:1,3,7,21,269,807,1883,5649
Greatest Common Factor
We found the factors 4823,5649 . The biggest common factor number is the GCF number.
So the greatest common factor 4823,5649 is 7.
Lets's calculate LCM of 187,3371
Given numbers has no common factors except 1. So, there LCM is their product i.e 630377
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/630377
Therefore, the GCF of Fractions 4823/187,5649/3371 is 7/630377
Least Common Multiple of 187,3371 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 187,3371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,3371) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(187,3371) x common factors =1 x 1 = 1
LCM(187,3371) = ( 187 × 3371 ) / 1
LCM(187,3371) = 630377 / 1
LCM(187,3371) = 630377
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FAQs on GCF of Fractions of 4823/187, 5649/3371
1. What is the HCF of 4823,5649?
The HCF of 4823,5649 is 7
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 4823/187, 5649/3371?
Answer: GCF of Numerators as per given numbers 4823/187, 5649/3371 is
GCF of Numerators i.e. for 4823,5649 is 7
LCM of denominators i.e. for 187,3371 is 630377.
Thus, GCF of Fractions is 7/630377.Finally, GCF of Fractions for 4823/187, 5649/3371 is 7/630377.