GCF of 1358/363, 6472/936
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1358/363, 6472/936 i.e 2/113256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1358/363, 6472/936.
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 1358/363,6472/936?
Given fractions are 1358/363,6472/936
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 1358/363,6472/936, numerators are 1358,6472
Denominators are 363,936
The GCF of 1358,6472 is 2 .
LCM of 363,936 is 113256.
The greatest common factor of 1358/363,6472/936 = [GCF of 1358,6472]/[LCM of 363,936]= 2/113256
Therefore, the GCF of 1358/363,6472/936 is 2/113256.
To find the highest common factor of 1358,6472, we have to find the factors of both numbers and list the highest common factor.
The factors of 1358 are 1, 2, 7, 14, 97, 194, 679, 1358
The factors of 6472 are 1, 2, 4, 8, 809, 1618, 3236, 6472
The HCF of 1358,6472 is 2.
Lets's calculate GCF of 1358,6472
| 2 | 1358, 6472 |
| 679, 3236 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1358,6472 By Matching Biggest Common Factor Method
Now, list down the factors of 1358
:1,2,7,14,97,194,679,1358
Now, list down the factors of 6472
:1,2,4,8,809,1618,3236,6472
Greatest Common Factor
We found the factors 1358,6472 . The biggest common factor number is the GCF number.
So the greatest common factor 1358,6472 is 2.
Lets's calculate LCM of 363,936
| 3 | 363, 936 |
| 121, 312 |
∴ So the LCM of the given numbers is 3 x 121 x 312 = 113256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/113256
Therefore, the GCF of Fractions 1358/363,6472/936 is 2/113256
Least Common Multiple of 363,936 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 363,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,936) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(363,936) x common factors =3 x 1 = 3
LCM(363,936) = ( 363 × 936 ) / 3
LCM(363,936) = 339768 / 3
LCM(363,936) = 113256
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FAQs on GCF of Fractions of 1358/363, 6472/936
1. What is the HCF of 1358,6472?
The HCF of 1358,6472 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 1358/363, 6472/936?
Answer: GCF of Numerators as per given numbers 1358/363, 6472/936 is
GCF of Numerators i.e. for 1358,6472 is 2
LCM of denominators i.e. for 363,936 is 113256.
Thus, GCF of Fractions is 2/113256.Finally, GCF of Fractions for 1358/363, 6472/936 is 2/113256.