GCF of 963/519, 5628/1029
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 963/519, 5628/1029 i.e 3/178017 easily. The following is the detailed procedure to determine the greatest common factor of fractions 963/519, 5628/1029.
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 963/519,5628/1029?
Given fractions are 963/519,5628/1029
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 963/519,5628/1029, numerators are 963,5628
Denominators are 519,1029
The GCF of 963,5628 is 3 .
LCM of 519,1029 is 178017.
The greatest common factor of 963/519,5628/1029 = [GCF of 963,5628]/[LCM of 519,1029]= 3/178017
Therefore, the GCF of 963/519,5628/1029 is 3/178017.
To find the highest common factor of 963,5628, we have to find the factors of both numbers and list the highest common factor.
The factors of 963 are 1, 3, 9, 107, 321, 963
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 963,5628 is 3.
Lets's calculate GCF of 963,5628
| 3 | 963, 5628 |
| 321, 1876 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 963,5628 By Matching Biggest Common Factor Method
Now, list down the factors of 963
:1,3,9,107,321,963
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 963,5628 . The biggest common factor number is the GCF number.
So the greatest common factor 963,5628 is 3.
Lets's calculate LCM of 519,1029
| 3 | 519, 1029 |
| 173, 343 |
∴ So the LCM of the given numbers is 3 x 173 x 343 = 178017
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/178017
Therefore, the GCF of Fractions 963/519,5628/1029 is 3/178017
Least Common Multiple of 519,1029 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 519,1029 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,1029) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(519,1029) x common factors =3 x 1 = 3
LCM(519,1029) = ( 519 × 1029 ) / 3
LCM(519,1029) = 534051 / 3
LCM(519,1029) = 178017
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FAQs on GCF of Fractions of 963/519, 5628/1029
1. What is the HCF of 963,5628?
The HCF of 963,5628 is 3
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 963/519, 5628/1029?
Answer: GCF of Numerators as per given numbers 963/519, 5628/1029 is
GCF of Numerators i.e. for 963,5628 is 3
LCM of denominators i.e. for 519,1029 is 178017.
Thus, GCF of Fractions is 3/178017.Finally, GCF of Fractions for 963/519, 5628/1029 is 3/178017.