GCF of 982/468, 1786/357
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 982/468, 1786/357 i.e 2/55692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 982/468, 1786/357.
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 982/468,1786/357?
Given fractions are 982/468,1786/357
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 982/468,1786/357, numerators are 982,1786
Denominators are 468,357
The GCF of 982,1786 is 2 .
LCM of 468,357 is 55692.
The greatest common factor of 982/468,1786/357 = [GCF of 982,1786]/[LCM of 468,357]= 2/55692
Therefore, the GCF of 982/468,1786/357 is 2/55692.
To find the highest common factor of 982,1786, we have to find the factors of both numbers and list the highest common factor.
The factors of 982 are 1, 2, 491, 982
The factors of 1786 are 1, 2, 19, 38, 47, 94, 893, 1786
The HCF of 982,1786 is 2.
Lets's calculate GCF of 982,1786
| 2 | 982, 1786 |
| 491, 893 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 982,1786 By Matching Biggest Common Factor Method
Now, list down the factors of 982
:1,2,491,982
Now, list down the factors of 1786
:1,2,19,38,47,94,893,1786
Greatest Common Factor
We found the factors 982,1786 . The biggest common factor number is the GCF number.
So the greatest common factor 982,1786 is 2.
Lets's calculate LCM of 468,357
| 3 | 468, 357 |
| 156, 119 |
∴ So the LCM of the given numbers is 3 x 156 x 119 = 55692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/55692
Therefore, the GCF of Fractions 982/468,1786/357 is 2/55692
Least Common Multiple of 468,357 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 468,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,357) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(468,357) x common factors =3 x 1 = 3
LCM(468,357) = ( 468 × 357 ) / 3
LCM(468,357) = 167076 / 3
LCM(468,357) = 55692
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 982/468, 1786/357
1. What is the HCF of 982,1786?
The HCF of 982,1786 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 982/468, 1786/357?
Answer: GCF of Numerators as per given numbers 982/468, 1786/357 is
GCF of Numerators i.e. for 982,1786 is 2
LCM of denominators i.e. for 468,357 is 55692.
Thus, GCF of Fractions is 2/55692.Finally, GCF of Fractions for 982/468, 1786/357 is 2/55692.