GCF of 1101/649, 5499/3670
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1101/649, 5499/3670 i.e 3/2381830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1101/649, 5499/3670.
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 1101/649,5499/3670?
Given fractions are 1101/649,5499/3670
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 1101/649,5499/3670, numerators are 1101,5499
Denominators are 649,3670
The GCF of 1101,5499 is 3 .
LCM of 649,3670 is 2381830.
The greatest common factor of 1101/649,5499/3670 = [GCF of 1101,5499]/[LCM of 649,3670]= 3/2381830
Therefore, the GCF of 1101/649,5499/3670 is 3/2381830.
To find the highest common factor of 1101,5499, we have to find the factors of both numbers and list the highest common factor.
The factors of 1101 are 1, 3, 367, 1101
The factors of 5499 are 1, 3, 9, 13, 39, 47, 117, 141, 423, 611, 1833, 5499
The HCF of 1101,5499 is 3.
Lets's calculate GCF of 1101,5499
| 3 | 1101, 5499 |
| 367, 1833 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1101,5499 By Matching Biggest Common Factor Method
Now, list down the factors of 1101
:1,3,367,1101
Now, list down the factors of 5499
:1,3,9,13,39,47,117,141,423,611,1833,5499
Greatest Common Factor
We found the factors 1101,5499 . The biggest common factor number is the GCF number.
So the greatest common factor 1101,5499 is 3.
Lets's calculate LCM of 649,3670
Given numbers has no common factors except 1. So, there LCM is their product i.e 2381830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2381830
Therefore, the GCF of Fractions 1101/649,5499/3670 is 3/2381830
Least Common Multiple of 649,3670 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 649,3670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,3670) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,3670) x common factors =1 x 1 = 1
LCM(649,3670) = ( 649 × 3670 ) / 1
LCM(649,3670) = 2381830 / 1
LCM(649,3670) = 2381830
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FAQs on GCF of Fractions of 1101/649, 5499/3670
1. What is the HCF of 1101,5499?
The HCF of 1101,5499 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 1101/649, 5499/3670?
Answer: GCF of Numerators as per given numbers 1101/649, 5499/3670 is
GCF of Numerators i.e. for 1101,5499 is 3
LCM of denominators i.e. for 649,3670 is 2381830.
Thus, GCF of Fractions is 3/2381830.Finally, GCF of Fractions for 1101/649, 5499/3670 is 3/2381830.