GCF of 5426/170, 3914/6069
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5426/170, 3914/6069 i.e 2/60690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5426/170, 3914/6069.
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 5426/170,3914/6069?
Given fractions are 5426/170,3914/6069
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 5426/170,3914/6069, numerators are 5426,3914
Denominators are 170,6069
The GCF of 5426,3914 is 2 .
LCM of 170,6069 is 60690.
The greatest common factor of 5426/170,3914/6069 = [GCF of 5426,3914]/[LCM of 170,6069]= 2/60690
Therefore, the GCF of 5426/170,3914/6069 is 2/60690.
To find the highest common factor of 5426,3914, we have to find the factors of both numbers and list the highest common factor.
The factors of 5426 are 1, 2, 2713, 5426
The factors of 3914 are 1, 2, 19, 38, 103, 206, 1957, 3914
The HCF of 5426,3914 is 2.
Lets's calculate GCF of 5426,3914
| 2 | 5426, 3914 |
| 2713, 1957 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5426,3914 By Matching Biggest Common Factor Method
Now, list down the factors of 5426
:1,2,2713,5426
Now, list down the factors of 3914
:1,2,19,38,103,206,1957,3914
Greatest Common Factor
We found the factors 5426,3914 . The biggest common factor number is the GCF number.
So the greatest common factor 5426,3914 is 2.
Lets's calculate LCM of 170,6069
| 17 | 170, 6069 |
| 10, 357 |
∴ So the LCM of the given numbers is 17 x 10 x 357 = 60690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60690
Therefore, the GCF of Fractions 5426/170,3914/6069 is 2/60690
Least Common Multiple of 170,6069 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 170,6069 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,6069) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(170,6069) x common factors =17 x 1 = 17
LCM(170,6069) = ( 170 × 6069 ) / 17
LCM(170,6069) = 1031730 / 17
LCM(170,6069) = 60690
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FAQs on GCF of Fractions of 5426/170, 3914/6069
1. What is the HCF of 5426,3914?
The HCF of 5426,3914 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 5426/170, 3914/6069?
Answer: GCF of Numerators as per given numbers 5426/170, 3914/6069 is
GCF of Numerators i.e. for 5426,3914 is 2
LCM of denominators i.e. for 170,6069 is 60690.
Thus, GCF of Fractions is 2/60690.Finally, GCF of Fractions for 5426/170, 3914/6069 is 2/60690.