GCF of 2049/224, 4611/8793
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2049/224, 4611/8793 i.e 3/1969632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2049/224, 4611/8793.
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 2049/224,4611/8793?
Given fractions are 2049/224,4611/8793
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 2049/224,4611/8793, numerators are 2049,4611
Denominators are 224,8793
The GCF of 2049,4611 is 3 .
LCM of 224,8793 is 1969632.
The greatest common factor of 2049/224,4611/8793 = [GCF of 2049,4611]/[LCM of 224,8793]= 3/1969632
Therefore, the GCF of 2049/224,4611/8793 is 3/1969632.
To find the highest common factor of 2049,4611, we have to find the factors of both numbers and list the highest common factor.
The factors of 2049 are 1, 3, 683, 2049
The factors of 4611 are 1, 3, 29, 53, 87, 159, 1537, 4611
The HCF of 2049,4611 is 3.
Lets's calculate GCF of 2049,4611
| 3 | 2049, 4611 |
| 683, 1537 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2049,4611 By Matching Biggest Common Factor Method
Now, list down the factors of 2049
:1,3,683,2049
Now, list down the factors of 4611
:1,3,29,53,87,159,1537,4611
Greatest Common Factor
We found the factors 2049,4611 . The biggest common factor number is the GCF number.
So the greatest common factor 2049,4611 is 3.
Lets's calculate LCM of 224,8793
Given numbers has no common factors except 1. So, there LCM is their product i.e 1969632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1969632
Therefore, the GCF of Fractions 2049/224,4611/8793 is 3/1969632
Least Common Multiple of 224,8793 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 224,8793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,8793) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(224,8793) x common factors =1 x 1 = 1
LCM(224,8793) = ( 224 × 8793 ) / 1
LCM(224,8793) = 1969632 / 1
LCM(224,8793) = 1969632
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FAQs on GCF of Fractions of 2049/224, 4611/8793
1. What is the HCF of 2049,4611?
The HCF of 2049,4611 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 2049/224, 4611/8793?
Answer: GCF of Numerators as per given numbers 2049/224, 4611/8793 is
GCF of Numerators i.e. for 2049,4611 is 3
LCM of denominators i.e. for 224,8793 is 1969632.
Thus, GCF of Fractions is 3/1969632.Finally, GCF of Fractions for 2049/224, 4611/8793 is 3/1969632.