GCF of 5500/216, 1234/6151
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5500/216, 1234/6151 i.e 2/1328616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5500/216, 1234/6151.
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 5500/216,1234/6151?
Given fractions are 5500/216,1234/6151
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 5500/216,1234/6151, numerators are 5500,1234
Denominators are 216,6151
The GCF of 5500,1234 is 2 .
LCM of 216,6151 is 1328616.
The greatest common factor of 5500/216,1234/6151 = [GCF of 5500,1234]/[LCM of 216,6151]= 2/1328616
Therefore, the GCF of 5500/216,1234/6151 is 2/1328616.
To find the highest common factor of 5500,1234, we have to find the factors of both numbers and list the highest common factor.
The factors of 5500 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 125, 220, 250, 275, 500, 550, 1100, 1375, 2750, 5500
The factors of 1234 are 1, 2, 617, 1234
The HCF of 5500,1234 is 2.
Lets's calculate GCF of 5500,1234
| 2 | 5500, 1234 |
| 2750, 617 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5500,1234 By Matching Biggest Common Factor Method
Now, list down the factors of 5500
:1,2,4,5,10,11,20,22,25,44,50,55,100,110,125,220,250,275,500,550,1100,1375,2750,5500
Now, list down the factors of 1234
:1,2,617,1234
Greatest Common Factor
We found the factors 5500,1234 . The biggest common factor number is the GCF number.
So the greatest common factor 5500,1234 is 2.
Lets's calculate LCM of 216,6151
Given numbers has no common factors except 1. So, there LCM is their product i.e 1328616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1328616
Therefore, the GCF of Fractions 5500/216,1234/6151 is 2/1328616
Least Common Multiple of 216,6151 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 216,6151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,6151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(216,6151) x common factors =1 x 1 = 1
LCM(216,6151) = ( 216 × 6151 ) / 1
LCM(216,6151) = 1328616 / 1
LCM(216,6151) = 1328616
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FAQs on GCF of Fractions of 5500/216, 1234/6151
1. What is the HCF of 5500,1234?
The HCF of 5500,1234 is 2
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 5500/216, 1234/6151?
Answer: GCF of Numerators as per given numbers 5500/216, 1234/6151 is
GCF of Numerators i.e. for 5500,1234 is 2
LCM of denominators i.e. for 216,6151 is 1328616.
Thus, GCF of Fractions is 2/1328616.Finally, GCF of Fractions for 5500/216, 1234/6151 is 2/1328616.