GCF of 5501/867, 1706/5268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5501/867, 1706/5268 i.e 1/1522452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5501/867, 1706/5268.
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 5501/867,1706/5268?
Given fractions are 5501/867,1706/5268
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 5501/867,1706/5268, numerators are 5501,1706
Denominators are 867,5268
The GCF of 5501,1706 is 1 .
LCM of 867,5268 is 1522452.
The greatest common factor of 5501/867,1706/5268 = [GCF of 5501,1706]/[LCM of 867,5268]= 1/1522452
Therefore, the GCF of 5501/867,1706/5268 is 1/1522452.
To find the highest common factor of 5501,1706, we have to find the factors of both numbers and list the highest common factor.
The factors of 5501 are 1, 5501
The factors of 1706 are 1, 2, 853, 1706
The HCF of 5501,1706 is 1.
Lets's calculate GCF of 5501,1706
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5501,1706 By Matching Biggest Common Factor Method
Now, list down the factors of 5501
:1,5501
Now, list down the factors of 1706
:1,2,853,1706
Greatest Common Factor
We found the factors 5501,1706 . The biggest common factor number is the GCF number.
So the greatest common factor 5501,1706 is 1.
Lets's calculate LCM of 867,5268
| 3 | 867, 5268 |
| 289, 1756 |
∴ So the LCM of the given numbers is 3 x 289 x 1756 = 1522452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1522452
Therefore, the GCF of Fractions 5501/867,1706/5268 is 1/1522452
Least Common Multiple of 867,5268 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 867,5268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,5268) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(867,5268) x common factors =3 x 1 = 3
LCM(867,5268) = ( 867 × 5268 ) / 3
LCM(867,5268) = 4567356 / 3
LCM(867,5268) = 1522452
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FAQs on GCF of Fractions of 5501/867, 1706/5268
1. What is the HCF of 5501,1706?
The HCF of 5501,1706 is 1
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 5501/867, 1706/5268?
Answer: GCF of Numerators as per given numbers 5501/867, 1706/5268 is
GCF of Numerators i.e. for 5501,1706 is 1
LCM of denominators i.e. for 867,5268 is 1522452.
Thus, GCF of Fractions is 1/1522452.Finally, GCF of Fractions for 5501/867, 1706/5268 is 1/1522452.