GCF of 5542/214, 1700/979
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5542/214, 1700/979 i.e 34/209506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5542/214, 1700/979.
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 5542/214,1700/979?
Given fractions are 5542/214,1700/979
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 5542/214,1700/979, numerators are 5542,1700
Denominators are 214,979
The GCF of 5542,1700 is 34 .
LCM of 214,979 is 209506.
The greatest common factor of 5542/214,1700/979 = [GCF of 5542,1700]/[LCM of 214,979]= 34/209506
Therefore, the GCF of 5542/214,1700/979 is 34/209506.
To find the highest common factor of 5542,1700, we have to find the factors of both numbers and list the highest common factor.
The factors of 5542 are 1, 2, 17, 34, 163, 326, 2771, 5542
The factors of 1700 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700
The HCF of 5542,1700 is 34.
Lets's calculate GCF of 5542,1700
| 2 | 5542, 1700 |
| 17 | 2771, 850 |
| 163, 50 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 5542,1700 By Matching Biggest Common Factor Method
Now, list down the factors of 5542
:1,2,17,34,163,326,2771,5542
Now, list down the factors of 1700
:1,2,4,5,10,17,20,25,34,50,68,85,100,170,340,425,850,1700
Greatest Common Factor
We found the factors 5542,1700 . The biggest common factor number is the GCF number.
So the greatest common factor 5542,1700 is 34.
Lets's calculate LCM of 214,979
Given numbers has no common factors except 1. So, there LCM is their product i.e 209506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/209506
Therefore, the GCF of Fractions 5542/214,1700/979 is 34/209506
Least Common Multiple of 214,979 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 214,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,979) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,979) x common factors =1 x 1 = 1
LCM(214,979) = ( 214 × 979 ) / 1
LCM(214,979) = 209506 / 1
LCM(214,979) = 209506
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FAQs on GCF of Fractions of 5542/214, 1700/979
1. What is the HCF of 5542,1700?
The HCF of 5542,1700 is 34
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 5542/214, 1700/979?
Answer: GCF of Numerators as per given numbers 5542/214, 1700/979 is
GCF of Numerators i.e. for 5542,1700 is 34
LCM of denominators i.e. for 214,979 is 209506.
Thus, GCF of Fractions is 34/209506.Finally, GCF of Fractions for 5542/214, 1700/979 is 34/209506.