GCF of 402/497, 5628/433
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 402/497, 5628/433 i.e 402/215201 easily. The following is the detailed procedure to determine the greatest common factor of fractions 402/497, 5628/433.
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 402/497,5628/433?
Given fractions are 402/497,5628/433
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 402/497,5628/433, numerators are 402,5628
Denominators are 497,433
The GCF of 402,5628 is 402 .
LCM of 497,433 is 215201.
The greatest common factor of 402/497,5628/433 = [GCF of 402,5628]/[LCM of 497,433]= 402/215201
Therefore, the GCF of 402/497,5628/433 is 402/215201.
To find the highest common factor of 402,5628, we have to find the factors of both numbers and list the highest common factor.
The factors of 402 are 1, 2, 3, 6, 67, 134, 201, 402
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 402,5628 is 402.
Lets's calculate GCF of 402,5628
| 2 | 402, 5628 |
| 3 | 201, 2814 |
| 67 | 67, 938 |
| 1, 14 |
∴ So the GCF of the given numbers is 2 x 3 x 67 = 402
Greatest Common Factor of 402,5628 By Matching Biggest Common Factor Method
Now, list down the factors of 402
:1,2,3,6,67,134,201,402
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 402,5628 . The biggest common factor number is the GCF number.
So the greatest common factor 402,5628 is 402.
Lets's calculate LCM of 497,433
Given numbers has no common factors except 1. So, there LCM is their product i.e 215201
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 402/215201
Therefore, the GCF of Fractions 402/497,5628/433 is 402/215201
Least Common Multiple of 497,433 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 497,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(497,433) x common factors =1 x 1 = 1
LCM(497,433) = ( 497 × 433 ) / 1
LCM(497,433) = 215201 / 1
LCM(497,433) = 215201
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FAQs on GCF of Fractions of 402/497, 5628/433
1. What is the HCF of 402,5628?
The HCF of 402,5628 is 402
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 402/497, 5628/433?
Answer: GCF of Numerators as per given numbers 402/497, 5628/433 is
GCF of Numerators i.e. for 402,5628 is 402
LCM of denominators i.e. for 497,433 is 215201.
Thus, GCF of Fractions is 402/215201.Finally, GCF of Fractions for 402/497, 5628/433 is 402/215201.