GCF of 8348/709, 3102/9798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8348/709, 3102/9798 i.e 2/6946782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8348/709, 3102/9798.
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 8348/709,3102/9798?
Given fractions are 8348/709,3102/9798
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 8348/709,3102/9798, numerators are 8348,3102
Denominators are 709,9798
The GCF of 8348,3102 is 2 .
LCM of 709,9798 is 6946782.
The greatest common factor of 8348/709,3102/9798 = [GCF of 8348,3102]/[LCM of 709,9798]= 2/6946782
Therefore, the GCF of 8348/709,3102/9798 is 2/6946782.
To find the highest common factor of 8348,3102, we have to find the factors of both numbers and list the highest common factor.
The factors of 8348 are 1, 2, 4, 2087, 4174, 8348
The factors of 3102 are 1, 2, 3, 6, 11, 22, 33, 47, 66, 94, 141, 282, 517, 1034, 1551, 3102
The HCF of 8348,3102 is 2.
Lets's calculate GCF of 8348,3102
| 2 | 8348, 3102 |
| 4174, 1551 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8348,3102 By Matching Biggest Common Factor Method
Now, list down the factors of 8348
:1,2,4,2087,4174,8348
Now, list down the factors of 3102
:1,2,3,6,11,22,33,47,66,94,141,282,517,1034,1551,3102
Greatest Common Factor
We found the factors 8348,3102 . The biggest common factor number is the GCF number.
So the greatest common factor 8348,3102 is 2.
Lets's calculate LCM of 709,9798
Given numbers has no common factors except 1. So, there LCM is their product i.e 6946782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6946782
Therefore, the GCF of Fractions 8348/709,3102/9798 is 2/6946782
Least Common Multiple of 709,9798 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 709,9798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,9798) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,9798) x common factors =1 x 1 = 1
LCM(709,9798) = ( 709 × 9798 ) / 1
LCM(709,9798) = 6946782 / 1
LCM(709,9798) = 6946782
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8348/709, 3102/9798
1. What is the HCF of 8348,3102?
The HCF of 8348,3102 is 2
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 8348/709, 3102/9798?
Answer: GCF of Numerators as per given numbers 8348/709, 3102/9798 is
GCF of Numerators i.e. for 8348,3102 is 2
LCM of denominators i.e. for 709,9798 is 6946782.
Thus, GCF of Fractions is 2/6946782.Finally, GCF of Fractions for 8348/709, 3102/9798 is 2/6946782.