GCF of 1597/700, 2100/8005
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1597/700, 2100/8005 i.e 1/1120700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1597/700, 2100/8005.
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 1597/700,2100/8005?
Given fractions are 1597/700,2100/8005
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 1597/700,2100/8005, numerators are 1597,2100
Denominators are 700,8005
The GCF of 1597,2100 is 1 .
LCM of 700,8005 is 1120700.
The greatest common factor of 1597/700,2100/8005 = [GCF of 1597,2100]/[LCM of 700,8005]= 1/1120700
Therefore, the GCF of 1597/700,2100/8005 is 1/1120700.
To find the highest common factor of 1597,2100, we have to find the factors of both numbers and list the highest common factor.
The factors of 1597 are 1, 1597
The factors of 2100 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, 2100
The HCF of 1597,2100 is 1.
Lets's calculate GCF of 1597,2100
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1597,2100 By Matching Biggest Common Factor Method
Now, list down the factors of 1597
:1,1597
Now, list down the factors of 2100
:1,2,3,4,5,6,7,10,12,14,15,20,21,25,28,30,35,42,50,60,70,75,84,100,105,140,150,175,210,300,350,420,525,700,1050,2100
Greatest Common Factor
We found the factors 1597,2100 . The biggest common factor number is the GCF number.
So the greatest common factor 1597,2100 is 1.
Lets's calculate LCM of 700,8005
| 5 | 700, 8005 |
| 140, 1601 |
∴ So the LCM of the given numbers is 5 x 140 x 1601 = 1120700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1120700
Therefore, the GCF of Fractions 1597/700,2100/8005 is 1/1120700
Least Common Multiple of 700,8005 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 700,8005 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,8005) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(700,8005) x common factors =5 x 1 = 5
LCM(700,8005) = ( 700 × 8005 ) / 5
LCM(700,8005) = 5603500 / 5
LCM(700,8005) = 1120700
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1597/700, 2100/8005
1. What is the HCF of 1597,2100?
The HCF of 1597,2100 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 1597/700, 2100/8005?
Answer: GCF of Numerators as per given numbers 1597/700, 2100/8005 is
GCF of Numerators i.e. for 1597,2100 is 1
LCM of denominators i.e. for 700,8005 is 1120700.
Thus, GCF of Fractions is 1/1120700.Finally, GCF of Fractions for 1597/700, 2100/8005 is 1/1120700.