GCF of 4551/997, 1435/1630
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4551/997, 1435/1630 i.e 41/1625110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4551/997, 1435/1630.
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 4551/997,1435/1630?
Given fractions are 4551/997,1435/1630
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 4551/997,1435/1630, numerators are 4551,1435
Denominators are 997,1630
The GCF of 4551,1435 is 41 .
LCM of 997,1630 is 1625110.
The greatest common factor of 4551/997,1435/1630 = [GCF of 4551,1435]/[LCM of 997,1630]= 41/1625110
Therefore, the GCF of 4551/997,1435/1630 is 41/1625110.
To find the highest common factor of 4551,1435, we have to find the factors of both numbers and list the highest common factor.
The factors of 4551 are 1, 3, 37, 41, 111, 123, 1517, 4551
The factors of 1435 are 1, 5, 7, 35, 41, 205, 287, 1435
The HCF of 4551,1435 is 41.
Lets's calculate GCF of 4551,1435
| 41 | 4551, 1435 |
| 111, 35 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 4551,1435 By Matching Biggest Common Factor Method
Now, list down the factors of 4551
:1,3,37,41,111,123,1517,4551
Now, list down the factors of 1435
:1,5,7,35,41,205,287,1435
Greatest Common Factor
We found the factors 4551,1435 . The biggest common factor number is the GCF number.
So the greatest common factor 4551,1435 is 41.
Lets's calculate LCM of 997,1630
Given numbers has no common factors except 1. So, there LCM is their product i.e 1625110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/1625110
Therefore, the GCF of Fractions 4551/997,1435/1630 is 41/1625110
Least Common Multiple of 997,1630 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 997,1630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,1630) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,1630) x common factors =1 x 1 = 1
LCM(997,1630) = ( 997 × 1630 ) / 1
LCM(997,1630) = 1625110 / 1
LCM(997,1630) = 1625110
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FAQs on GCF of Fractions of 4551/997, 1435/1630
1. What is the HCF of 4551,1435?
The HCF of 4551,1435 is 41
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 4551/997, 1435/1630?
Answer: GCF of Numerators as per given numbers 4551/997, 1435/1630 is
GCF of Numerators i.e. for 4551,1435 is 41
LCM of denominators i.e. for 997,1630 is 1625110.
Thus, GCF of Fractions is 41/1625110.Finally, GCF of Fractions for 4551/997, 1435/1630 is 41/1625110.