GCF of 1652/415, 5446/238
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1652/415, 5446/238 i.e 14/98770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1652/415, 5446/238.
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 1652/415,5446/238?
Given fractions are 1652/415,5446/238
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 1652/415,5446/238, numerators are 1652,5446
Denominators are 415,238
The GCF of 1652,5446 is 14 .
LCM of 415,238 is 98770.
The greatest common factor of 1652/415,5446/238 = [GCF of 1652,5446]/[LCM of 415,238]= 14/98770
Therefore, the GCF of 1652/415,5446/238 is 14/98770.
To find the highest common factor of 1652,5446, we have to find the factors of both numbers and list the highest common factor.
The factors of 1652 are 1, 2, 4, 7, 14, 28, 59, 118, 236, 413, 826, 1652
The factors of 5446 are 1, 2, 7, 14, 389, 778, 2723, 5446
The HCF of 1652,5446 is 14.
Lets's calculate GCF of 1652,5446
| 2 | 1652, 5446 |
| 7 | 826, 2723 |
| 118, 389 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 1652,5446 By Matching Biggest Common Factor Method
Now, list down the factors of 1652
:1,2,4,7,14,28,59,118,236,413,826,1652
Now, list down the factors of 5446
:1,2,7,14,389,778,2723,5446
Greatest Common Factor
We found the factors 1652,5446 . The biggest common factor number is the GCF number.
So the greatest common factor 1652,5446 is 14.
Lets's calculate LCM of 415,238
Given numbers has no common factors except 1. So, there LCM is their product i.e 98770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/98770
Therefore, the GCF of Fractions 1652/415,5446/238 is 14/98770
Least Common Multiple of 415,238 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 415,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,238) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(415,238) x common factors =1 x 1 = 1
LCM(415,238) = ( 415 × 238 ) / 1
LCM(415,238) = 98770 / 1
LCM(415,238) = 98770
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1652/415, 5446/238
1. What is the HCF of 1652,5446?
The HCF of 1652,5446 is 14
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 1652/415, 5446/238?
Answer: GCF of Numerators as per given numbers 1652/415, 5446/238 is
GCF of Numerators i.e. for 1652,5446 is 14
LCM of denominators i.e. for 415,238 is 98770.
Thus, GCF of Fractions is 14/98770.Finally, GCF of Fractions for 1652/415, 5446/238 is 14/98770.