GCF of 5514/195, 5312/867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5514/195, 5312/867 i.e 2/56355 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5514/195, 5312/867.
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 5514/195,5312/867?
Given fractions are 5514/195,5312/867
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 5514/195,5312/867, numerators are 5514,5312
Denominators are 195,867
The GCF of 5514,5312 is 2 .
LCM of 195,867 is 56355.
The greatest common factor of 5514/195,5312/867 = [GCF of 5514,5312]/[LCM of 195,867]= 2/56355
Therefore, the GCF of 5514/195,5312/867 is 2/56355.
To find the highest common factor of 5514,5312, we have to find the factors of both numbers and list the highest common factor.
The factors of 5514 are 1, 2, 3, 6, 919, 1838, 2757, 5514
The factors of 5312 are 1, 2, 4, 8, 16, 32, 64, 83, 166, 332, 664, 1328, 2656, 5312
The HCF of 5514,5312 is 2.
Lets's calculate GCF of 5514,5312
| 2 | 5514, 5312 |
| 2757, 2656 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5514,5312 By Matching Biggest Common Factor Method
Now, list down the factors of 5514
:1,2,3,6,919,1838,2757,5514
Now, list down the factors of 5312
:1,2,4,8,16,32,64,83,166,332,664,1328,2656,5312
Greatest Common Factor
We found the factors 5514,5312 . The biggest common factor number is the GCF number.
So the greatest common factor 5514,5312 is 2.
Lets's calculate LCM of 195,867
| 3 | 195, 867 |
| 65, 289 |
∴ So the LCM of the given numbers is 3 x 65 x 289 = 56355
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/56355
Therefore, the GCF of Fractions 5514/195,5312/867 is 2/56355
Least Common Multiple of 195,867 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 195,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(195,867) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(195,867) x common factors =3 x 1 = 3
LCM(195,867) = ( 195 × 867 ) / 3
LCM(195,867) = 169065 / 3
LCM(195,867) = 56355
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FAQs on GCF of Fractions of 5514/195, 5312/867
1. What is the HCF of 5514,5312?
The HCF of 5514,5312 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 5514/195, 5312/867?
Answer: GCF of Numerators as per given numbers 5514/195, 5312/867 is
GCF of Numerators i.e. for 5514,5312 is 2
LCM of denominators i.e. for 195,867 is 56355.
Thus, GCF of Fractions is 2/56355.Finally, GCF of Fractions for 5514/195, 5312/867 is 2/56355.