GCF of 6566/251, 5628/3603
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6566/251, 5628/3603 i.e 938/904353 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6566/251, 5628/3603.
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 6566/251,5628/3603?
Given fractions are 6566/251,5628/3603
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 6566/251,5628/3603, numerators are 6566,5628
Denominators are 251,3603
The GCF of 6566,5628 is 938 .
LCM of 251,3603 is 904353.
The greatest common factor of 6566/251,5628/3603 = [GCF of 6566,5628]/[LCM of 251,3603]= 938/904353
Therefore, the GCF of 6566/251,5628/3603 is 938/904353.
To find the highest common factor of 6566,5628, we have to find the factors of both numbers and list the highest common factor.
The factors of 6566 are 1, 2, 7, 14, 49, 67, 98, 134, 469, 938, 3283, 6566
The factors of 5628 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 67, 84, 134, 201, 268, 402, 469, 804, 938, 1407, 1876, 2814, 5628
The HCF of 6566,5628 is 938.
Lets's calculate GCF of 6566,5628
| 2 | 6566, 5628 |
| 7 | 3283, 2814 |
| 67 | 469, 402 |
| 7, 6 |
∴ So the GCF of the given numbers is 2 x 7 x 67 = 938
Greatest Common Factor of 6566,5628 By Matching Biggest Common Factor Method
Now, list down the factors of 6566
:1,2,7,14,49,67,98,134,469,938,3283,6566
Now, list down the factors of 5628
:1,2,3,4,6,7,12,14,21,28,42,67,84,134,201,268,402,469,804,938,1407,1876,2814,5628
Greatest Common Factor
We found the factors 6566,5628 . The biggest common factor number is the GCF number.
So the greatest common factor 6566,5628 is 938.
Lets's calculate LCM of 251,3603
Given numbers has no common factors except 1. So, there LCM is their product i.e 904353
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 938/904353
Therefore, the GCF of Fractions 6566/251,5628/3603 is 938/904353
Least Common Multiple of 251,3603 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 251,3603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(251,3603) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(251,3603) x common factors =1 x 1 = 1
LCM(251,3603) = ( 251 × 3603 ) / 1
LCM(251,3603) = 904353 / 1
LCM(251,3603) = 904353
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FAQs on GCF of Fractions of 6566/251, 5628/3603
1. What is the HCF of 6566,5628?
The HCF of 6566,5628 is 938
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 6566/251, 5628/3603?
Answer: GCF of Numerators as per given numbers 6566/251, 5628/3603 is
GCF of Numerators i.e. for 6566,5628 is 938
LCM of denominators i.e. for 251,3603 is 904353.
Thus, GCF of Fractions is 938/904353.Finally, GCF of Fractions for 6566/251, 5628/3603 is 938/904353.