GCF of 5600/971, 5675/396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5600/971, 5675/396 i.e 25/384516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5600/971, 5675/396.
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 5600/971,5675/396?
Given fractions are 5600/971,5675/396
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 5600/971,5675/396, numerators are 5600,5675
Denominators are 971,396
The GCF of 5600,5675 is 25 .
LCM of 971,396 is 384516.
The greatest common factor of 5600/971,5675/396 = [GCF of 5600,5675]/[LCM of 971,396]= 25/384516
Therefore, the GCF of 5600/971,5675/396 is 25/384516.
To find the highest common factor of 5600,5675, we have to find the factors of both numbers and list the highest common factor.
The factors of 5600 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 70, 80, 100, 112, 140, 160, 175, 200, 224, 280, 350, 400, 560, 700, 800, 1120, 1400, 2800, 5600
The factors of 5675 are 1, 5, 25, 227, 1135, 5675
The HCF of 5600,5675 is 25.
Lets's calculate GCF of 5600,5675
| 5 | 5600, 5675 |
| 5 | 1120, 1135 |
| 224, 227 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 5600,5675 By Matching Biggest Common Factor Method
Now, list down the factors of 5600
:1,2,4,5,7,8,10,14,16,20,25,28,32,35,40,50,56,70,80,100,112,140,160,175,200,224,280,350,400,560,700,800,1120,1400,2800,5600
Now, list down the factors of 5675
:1,5,25,227,1135,5675
Greatest Common Factor
We found the factors 5600,5675 . The biggest common factor number is the GCF number.
So the greatest common factor 5600,5675 is 25.
Lets's calculate LCM of 971,396
Given numbers has no common factors except 1. So, there LCM is their product i.e 384516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/384516
Therefore, the GCF of Fractions 5600/971,5675/396 is 25/384516
Least Common Multiple of 971,396 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 971,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,396) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,396) x common factors =1 x 1 = 1
LCM(971,396) = ( 971 × 396 ) / 1
LCM(971,396) = 384516 / 1
LCM(971,396) = 384516
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5600/971, 5675/396
1. What is the HCF of 5600,5675?
The HCF of 5600,5675 is 25
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 5600/971, 5675/396?
Answer: GCF of Numerators as per given numbers 5600/971, 5675/396 is
GCF of Numerators i.e. for 5600,5675 is 25
LCM of denominators i.e. for 971,396 is 384516.
Thus, GCF of Fractions is 25/384516.Finally, GCF of Fractions for 5600/971, 5675/396 is 25/384516.