GCF of 5537/612, 4053/600
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5537/612, 4053/600 i.e 7/30600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5537/612, 4053/600.
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 5537/612,4053/600?
Given fractions are 5537/612,4053/600
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 5537/612,4053/600, numerators are 5537,4053
Denominators are 612,600
The GCF of 5537,4053 is 7 .
LCM of 612,600 is 30600.
The greatest common factor of 5537/612,4053/600 = [GCF of 5537,4053]/[LCM of 612,600]= 7/30600
Therefore, the GCF of 5537/612,4053/600 is 7/30600.
To find the highest common factor of 5537,4053, we have to find the factors of both numbers and list the highest common factor.
The factors of 5537 are 1, 7, 49, 113, 791, 5537
The factors of 4053 are 1, 3, 7, 21, 193, 579, 1351, 4053
The HCF of 5537,4053 is 7.
Lets's calculate GCF of 5537,4053
| 7 | 5537, 4053 |
| 791, 579 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5537,4053 By Matching Biggest Common Factor Method
Now, list down the factors of 5537
:1,7,49,113,791,5537
Now, list down the factors of 4053
:1,3,7,21,193,579,1351,4053
Greatest Common Factor
We found the factors 5537,4053 . The biggest common factor number is the GCF number.
So the greatest common factor 5537,4053 is 7.
Lets's calculate LCM of 612,600
| 2 | 612, 600 |
| 2 | 306, 300 |
| 3 | 153, 150 |
| 51, 50 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 51 x 50 = 30600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/30600
Therefore, the GCF of Fractions 5537/612,4053/600 is 7/30600
Least Common Multiple of 612,600 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 612,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,600) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(612,600) x common factors =12 x 1 = 12
LCM(612,600) = ( 612 × 600 ) / 12
LCM(612,600) = 367200 / 12
LCM(612,600) = 30600
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FAQs on GCF of Fractions of 5537/612, 4053/600
1. What is the HCF of 5537,4053?
The HCF of 5537,4053 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 5537/612, 4053/600?
Answer: GCF of Numerators as per given numbers 5537/612, 4053/600 is
GCF of Numerators i.e. for 5537,4053 is 7
LCM of denominators i.e. for 612,600 is 30600.
Thus, GCF of Fractions is 7/30600.Finally, GCF of Fractions for 5537/612, 4053/600 is 7/30600.