GCF of 7149/697, 1322/9650
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7149/697, 1322/9650 i.e 1/6726050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7149/697, 1322/9650.
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 7149/697,1322/9650?
Given fractions are 7149/697,1322/9650
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 7149/697,1322/9650, numerators are 7149,1322
Denominators are 697,9650
The GCF of 7149,1322 is 1 .
LCM of 697,9650 is 6726050.
The greatest common factor of 7149/697,1322/9650 = [GCF of 7149,1322]/[LCM of 697,9650]= 1/6726050
Therefore, the GCF of 7149/697,1322/9650 is 1/6726050.
To find the highest common factor of 7149,1322, we have to find the factors of both numbers and list the highest common factor.
The factors of 7149 are 1, 3, 2383, 7149
The factors of 1322 are 1, 2, 661, 1322
The HCF of 7149,1322 is 1.
Lets's calculate GCF of 7149,1322
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7149,1322 By Matching Biggest Common Factor Method
Now, list down the factors of 7149
:1,3,2383,7149
Now, list down the factors of 1322
:1,2,661,1322
Greatest Common Factor
We found the factors 7149,1322 . The biggest common factor number is the GCF number.
So the greatest common factor 7149,1322 is 1.
Lets's calculate LCM of 697,9650
Given numbers has no common factors except 1. So, there LCM is their product i.e 6726050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6726050
Therefore, the GCF of Fractions 7149/697,1322/9650 is 1/6726050
Least Common Multiple of 697,9650 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 697,9650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,9650) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,9650) x common factors =1 x 1 = 1
LCM(697,9650) = ( 697 × 9650 ) / 1
LCM(697,9650) = 6726050 / 1
LCM(697,9650) = 6726050
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7149/697, 1322/9650
1. What is the HCF of 7149,1322?
The HCF of 7149,1322 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 7149/697, 1322/9650?
Answer: GCF of Numerators as per given numbers 7149/697, 1322/9650 is
GCF of Numerators i.e. for 7149,1322 is 1
LCM of denominators i.e. for 697,9650 is 6726050.
Thus, GCF of Fractions is 1/6726050.Finally, GCF of Fractions for 7149/697, 1322/9650 is 1/6726050.