GCF of 1535/700, 3397/840
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1535/700, 3397/840 i.e 1/4200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1535/700, 3397/840.
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 1535/700,3397/840?
Given fractions are 1535/700,3397/840
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 1535/700,3397/840, numerators are 1535,3397
Denominators are 700,840
The GCF of 1535,3397 is 1 .
LCM of 700,840 is 4200.
The greatest common factor of 1535/700,3397/840 = [GCF of 1535,3397]/[LCM of 700,840]= 1/4200
Therefore, the GCF of 1535/700,3397/840 is 1/4200.
To find the highest common factor of 1535,3397, we have to find the factors of both numbers and list the highest common factor.
The factors of 1535 are 1, 5, 307, 1535
The factors of 3397 are 1, 43, 79, 3397
The HCF of 1535,3397 is 1.
Lets's calculate GCF of 1535,3397
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1535,3397 By Matching Biggest Common Factor Method
Now, list down the factors of 1535
:1,5,307,1535
Now, list down the factors of 3397
:1,43,79,3397
Greatest Common Factor
We found the factors 1535,3397 . The biggest common factor number is the GCF number.
So the greatest common factor 1535,3397 is 1.
Lets's calculate LCM of 700,840
| 2 | 700, 840 |
| 2 | 350, 420 |
| 5 | 175, 210 |
| 7 | 35, 42 |
| 5, 6 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 5 x 6 = 4200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4200
Therefore, the GCF of Fractions 1535/700,3397/840 is 1/4200
Least Common Multiple of 700,840 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 700,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,840) = 140
common factors(in case of two or more numbers have common factors) = 1
GCF(700,840) x common factors =140 x 1 = 140
LCM(700,840) = ( 700 × 840 ) / 140
LCM(700,840) = 588000 / 140
LCM(700,840) = 4200
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1535/700, 3397/840
1. What is the HCF of 1535,3397?
The HCF of 1535,3397 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 1535/700, 3397/840?
Answer: GCF of Numerators as per given numbers 1535/700, 3397/840 is
GCF of Numerators i.e. for 1535,3397 is 1
LCM of denominators i.e. for 700,840 is 4200.
Thus, GCF of Fractions is 1/4200.Finally, GCF of Fractions for 1535/700, 3397/840 is 1/4200.