GCF of 5031/647, 2625/1099
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5031/647, 2625/1099 i.e 3/711053 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5031/647, 2625/1099.
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 5031/647,2625/1099?
Given fractions are 5031/647,2625/1099
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 5031/647,2625/1099, numerators are 5031,2625
Denominators are 647,1099
The GCF of 5031,2625 is 3 .
LCM of 647,1099 is 711053.
The greatest common factor of 5031/647,2625/1099 = [GCF of 5031,2625]/[LCM of 647,1099]= 3/711053
Therefore, the GCF of 5031/647,2625/1099 is 3/711053.
To find the highest common factor of 5031,2625, we have to find the factors of both numbers and list the highest common factor.
The factors of 5031 are 1, 3, 9, 13, 39, 43, 117, 129, 387, 559, 1677, 5031
The factors of 2625 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 875, 2625
The HCF of 5031,2625 is 3.
Lets's calculate GCF of 5031,2625
| 3 | 5031, 2625 |
| 1677, 875 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5031,2625 By Matching Biggest Common Factor Method
Now, list down the factors of 5031
:1,3,9,13,39,43,117,129,387,559,1677,5031
Now, list down the factors of 2625
:1,3,5,7,15,21,25,35,75,105,125,175,375,525,875,2625
Greatest Common Factor
We found the factors 5031,2625 . The biggest common factor number is the GCF number.
So the greatest common factor 5031,2625 is 3.
Lets's calculate LCM of 647,1099
Given numbers has no common factors except 1. So, there LCM is their product i.e 711053
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/711053
Therefore, the GCF of Fractions 5031/647,2625/1099 is 3/711053
Least Common Multiple of 647,1099 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 647,1099 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,1099) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(647,1099) x common factors =1 x 1 = 1
LCM(647,1099) = ( 647 × 1099 ) / 1
LCM(647,1099) = 711053 / 1
LCM(647,1099) = 711053
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FAQs on GCF of Fractions of 5031/647, 2625/1099
1. What is the HCF of 5031,2625?
The HCF of 5031,2625 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 5031/647, 2625/1099?
Answer: GCF of Numerators as per given numbers 5031/647, 2625/1099 is
GCF of Numerators i.e. for 5031,2625 is 3
LCM of denominators i.e. for 647,1099 is 711053.
Thus, GCF of Fractions is 3/711053.Finally, GCF of Fractions for 5031/647, 2625/1099 is 3/711053.