GCF of 9682/752, 1812/249
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9682/752, 1812/249 i.e 2/187248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9682/752, 1812/249.
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 9682/752,1812/249?
Given fractions are 9682/752,1812/249
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 9682/752,1812/249, numerators are 9682,1812
Denominators are 752,249
The GCF of 9682,1812 is 2 .
LCM of 752,249 is 187248.
The greatest common factor of 9682/752,1812/249 = [GCF of 9682,1812]/[LCM of 752,249]= 2/187248
Therefore, the GCF of 9682/752,1812/249 is 2/187248.
To find the highest common factor of 9682,1812, we have to find the factors of both numbers and list the highest common factor.
The factors of 9682 are 1, 2, 47, 94, 103, 206, 4841, 9682
The factors of 1812 are 1, 2, 3, 4, 6, 12, 151, 302, 453, 604, 906, 1812
The HCF of 9682,1812 is 2.
Lets's calculate GCF of 9682,1812
| 2 | 9682, 1812 |
| 4841, 906 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9682,1812 By Matching Biggest Common Factor Method
Now, list down the factors of 9682
:1,2,47,94,103,206,4841,9682
Now, list down the factors of 1812
:1,2,3,4,6,12,151,302,453,604,906,1812
Greatest Common Factor
We found the factors 9682,1812 . The biggest common factor number is the GCF number.
So the greatest common factor 9682,1812 is 2.
Lets's calculate LCM of 752,249
Given numbers has no common factors except 1. So, there LCM is their product i.e 187248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/187248
Therefore, the GCF of Fractions 9682/752,1812/249 is 2/187248
Least Common Multiple of 752,249 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 752,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(752,249) x common factors =1 x 1 = 1
LCM(752,249) = ( 752 × 249 ) / 1
LCM(752,249) = 187248 / 1
LCM(752,249) = 187248
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FAQs on GCF of Fractions of 9682/752, 1812/249
1. What is the HCF of 9682,1812?
The HCF of 9682,1812 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 9682/752, 1812/249?
Answer: GCF of Numerators as per given numbers 9682/752, 1812/249 is
GCF of Numerators i.e. for 9682,1812 is 2
LCM of denominators i.e. for 752,249 is 187248.
Thus, GCF of Fractions is 2/187248.Finally, GCF of Fractions for 9682/752, 1812/249 is 2/187248.