GCF of 595/20, 616/4192
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 595/20, 616/4192 i.e 7/20960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 595/20, 616/4192.
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 595/20,616/4192?
Given fractions are 595/20,616/4192
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 595/20,616/4192, numerators are 595,616
Denominators are 20,4192
The GCF of 595,616 is 7 .
LCM of 20,4192 is 20960.
The greatest common factor of 595/20,616/4192 = [GCF of 595,616]/[LCM of 20,4192]= 7/20960
Therefore, the GCF of 595/20,616/4192 is 7/20960.
To find the highest common factor of 595,616, we have to find the factors of both numbers and list the highest common factor.
The factors of 595 are 1, 5, 7, 17, 35, 85, 119, 595
The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
The HCF of 595,616 is 7.
Lets's calculate GCF of 595,616
| 7 | 595, 616 |
| 85, 88 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 595,616 By Matching Biggest Common Factor Method
Now, list down the factors of 595
:1,5,7,17,35,85,119,595
Now, list down the factors of 616
:1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Greatest Common Factor
We found the factors 595,616 . The biggest common factor number is the GCF number.
So the greatest common factor 595,616 is 7.
Lets's calculate LCM of 20,4192
| 2 | 20, 4192 |
| 2 | 10, 2096 |
| 5, 1048 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 1048 = 20960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/20960
Therefore, the GCF of Fractions 595/20,616/4192 is 7/20960
Least Common Multiple of 20,4192 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 20,4192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,4192) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(20,4192) x common factors =4 x 1 = 4
LCM(20,4192) = ( 20 × 4192 ) / 4
LCM(20,4192) = 83840 / 4
LCM(20,4192) = 20960
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FAQs on GCF of Fractions of 595/20, 616/4192
1. What is the HCF of 595,616?
The HCF of 595,616 is 7
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 595/20, 616/4192?
Answer: GCF of Numerators as per given numbers 595/20, 616/4192 is
GCF of Numerators i.e. for 595,616 is 7
LCM of denominators i.e. for 20,4192 is 20960.
Thus, GCF of Fractions is 7/20960.Finally, GCF of Fractions for 595/20, 616/4192 is 7/20960.