GCF of 1258/162, 3494/4327
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1258/162, 3494/4327 i.e 2/700974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1258/162, 3494/4327.
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 1258/162,3494/4327?
Given fractions are 1258/162,3494/4327
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 1258/162,3494/4327, numerators are 1258,3494
Denominators are 162,4327
The GCF of 1258,3494 is 2 .
LCM of 162,4327 is 700974.
The greatest common factor of 1258/162,3494/4327 = [GCF of 1258,3494]/[LCM of 162,4327]= 2/700974
Therefore, the GCF of 1258/162,3494/4327 is 2/700974.
To find the highest common factor of 1258,3494, we have to find the factors of both numbers and list the highest common factor.
The factors of 1258 are 1, 2, 17, 34, 37, 74, 629, 1258
The factors of 3494 are 1, 2, 1747, 3494
The HCF of 1258,3494 is 2.
Lets's calculate GCF of 1258,3494
| 2 | 1258, 3494 |
| 629, 1747 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1258,3494 By Matching Biggest Common Factor Method
Now, list down the factors of 1258
:1,2,17,34,37,74,629,1258
Now, list down the factors of 3494
:1,2,1747,3494
Greatest Common Factor
We found the factors 1258,3494 . The biggest common factor number is the GCF number.
So the greatest common factor 1258,3494 is 2.
Lets's calculate LCM of 162,4327
Given numbers has no common factors except 1. So, there LCM is their product i.e 700974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/700974
Therefore, the GCF of Fractions 1258/162,3494/4327 is 2/700974
Least Common Multiple of 162,4327 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 162,4327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,4327) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(162,4327) x common factors =1 x 1 = 1
LCM(162,4327) = ( 162 × 4327 ) / 1
LCM(162,4327) = 700974 / 1
LCM(162,4327) = 700974
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FAQs on GCF of Fractions of 1258/162, 3494/4327
1. What is the HCF of 1258,3494?
The HCF of 1258,3494 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 1258/162, 3494/4327?
Answer: GCF of Numerators as per given numbers 1258/162, 3494/4327 is
GCF of Numerators i.e. for 1258,3494 is 2
LCM of denominators i.e. for 162,4327 is 700974.
Thus, GCF of Fractions is 2/700974.Finally, GCF of Fractions for 1258/162, 3494/4327 is 2/700974.