GCF of 1307/425, 9802/9697
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1307/425, 9802/9697 i.e 1/4121225 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1307/425, 9802/9697.
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 1307/425,9802/9697?
Given fractions are 1307/425,9802/9697
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 1307/425,9802/9697, numerators are 1307,9802
Denominators are 425,9697
The GCF of 1307,9802 is 1 .
LCM of 425,9697 is 4121225.
The greatest common factor of 1307/425,9802/9697 = [GCF of 1307,9802]/[LCM of 425,9697]= 1/4121225
Therefore, the GCF of 1307/425,9802/9697 is 1/4121225.
To find the highest common factor of 1307,9802, we have to find the factors of both numbers and list the highest common factor.
The factors of 1307 are 1, 1307
The factors of 9802 are 1, 2, 13, 26, 29, 58, 169, 338, 377, 754, 4901, 9802
The HCF of 1307,9802 is 1.
Lets's calculate GCF of 1307,9802
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1307,9802 By Matching Biggest Common Factor Method
Now, list down the factors of 1307
:1,1307
Now, list down the factors of 9802
:1,2,13,26,29,58,169,338,377,754,4901,9802
Greatest Common Factor
We found the factors 1307,9802 . The biggest common factor number is the GCF number.
So the greatest common factor 1307,9802 is 1.
Lets's calculate LCM of 425,9697
Given numbers has no common factors except 1. So, there LCM is their product i.e 4121225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4121225
Therefore, the GCF of Fractions 1307/425,9802/9697 is 1/4121225
Least Common Multiple of 425,9697 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 425,9697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(425,9697) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(425,9697) x common factors =1 x 1 = 1
LCM(425,9697) = ( 425 × 9697 ) / 1
LCM(425,9697) = 4121225 / 1
LCM(425,9697) = 4121225
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FAQs on GCF of Fractions of 1307/425, 9802/9697
1. What is the HCF of 1307,9802?
The HCF of 1307,9802 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 1307/425, 9802/9697?
Answer: GCF of Numerators as per given numbers 1307/425, 9802/9697 is
GCF of Numerators i.e. for 1307,9802 is 1
LCM of denominators i.e. for 425,9697 is 4121225.
Thus, GCF of Fractions is 1/4121225.Finally, GCF of Fractions for 1307/425, 9802/9697 is 1/4121225.