GCF of 565/388, 4426/970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 565/388, 4426/970 i.e 1/1940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 565/388, 4426/970.
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 565/388,4426/970?
Given fractions are 565/388,4426/970
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 565/388,4426/970, numerators are 565,4426
Denominators are 388,970
The GCF of 565,4426 is 1 .
LCM of 388,970 is 1940.
The greatest common factor of 565/388,4426/970 = [GCF of 565,4426]/[LCM of 388,970]= 1/1940
Therefore, the GCF of 565/388,4426/970 is 1/1940.
To find the highest common factor of 565,4426, we have to find the factors of both numbers and list the highest common factor.
The factors of 565 are 1, 5, 113, 565
The factors of 4426 are 1, 2, 2213, 4426
The HCF of 565,4426 is 1.
Lets's calculate GCF of 565,4426
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 565,4426 By Matching Biggest Common Factor Method
Now, list down the factors of 565
:1,5,113,565
Now, list down the factors of 4426
:1,2,2213,4426
Greatest Common Factor
We found the factors 565,4426 . The biggest common factor number is the GCF number.
So the greatest common factor 565,4426 is 1.
Lets's calculate LCM of 388,970
| 2 | 388, 970 |
| 97 | 194, 485 |
| 2, 5 |
∴ So the LCM of the given numbers is 2 x 97 x 2 x 5 = 1940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1940
Therefore, the GCF of Fractions 565/388,4426/970 is 1/1940
Least Common Multiple of 388,970 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 388,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,970) = 194
common factors(in case of two or more numbers have common factors) = 1
GCF(388,970) x common factors =194 x 1 = 194
LCM(388,970) = ( 388 × 970 ) / 194
LCM(388,970) = 376360 / 194
LCM(388,970) = 1940
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FAQs on GCF of Fractions of 565/388, 4426/970
1. What is the HCF of 565,4426?
The HCF of 565,4426 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 565/388, 4426/970?
Answer: GCF of Numerators as per given numbers 565/388, 4426/970 is
GCF of Numerators i.e. for 565,4426 is 1
LCM of denominators i.e. for 388,970 is 1940.
Thus, GCF of Fractions is 1/1940.Finally, GCF of Fractions for 565/388, 4426/970 is 1/1940.