GCF of 1371/174, 5312/9039
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1371/174, 5312/9039 i.e 1/524262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1371/174, 5312/9039.
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 1371/174,5312/9039?
Given fractions are 1371/174,5312/9039
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 1371/174,5312/9039, numerators are 1371,5312
Denominators are 174,9039
The GCF of 1371,5312 is 1 .
LCM of 174,9039 is 524262.
The greatest common factor of 1371/174,5312/9039 = [GCF of 1371,5312]/[LCM of 174,9039]= 1/524262
Therefore, the GCF of 1371/174,5312/9039 is 1/524262.
To find the highest common factor of 1371,5312, we have to find the factors of both numbers and list the highest common factor.
The factors of 1371 are 1, 3, 457, 1371
The factors of 5312 are 1, 2, 4, 8, 16, 32, 64, 83, 166, 332, 664, 1328, 2656, 5312
The HCF of 1371,5312 is 1.
Lets's calculate GCF of 1371,5312
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1371,5312 By Matching Biggest Common Factor Method
Now, list down the factors of 1371
:1,3,457,1371
Now, list down the factors of 5312
:1,2,4,8,16,32,64,83,166,332,664,1328,2656,5312
Greatest Common Factor
We found the factors 1371,5312 . The biggest common factor number is the GCF number.
So the greatest common factor 1371,5312 is 1.
Lets's calculate LCM of 174,9039
| 3 | 174, 9039 |
| 58, 3013 |
∴ So the LCM of the given numbers is 3 x 58 x 3013 = 524262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/524262
Therefore, the GCF of Fractions 1371/174,5312/9039 is 1/524262
Least Common Multiple of 174,9039 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 174,9039 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,9039) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(174,9039) x common factors =3 x 1 = 3
LCM(174,9039) = ( 174 × 9039 ) / 3
LCM(174,9039) = 1572786 / 3
LCM(174,9039) = 524262
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FAQs on GCF of Fractions of 1371/174, 5312/9039
1. What is the HCF of 1371,5312?
The HCF of 1371,5312 is 1
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 1371/174, 5312/9039?
Answer: GCF of Numerators as per given numbers 1371/174, 5312/9039 is
GCF of Numerators i.e. for 1371,5312 is 1
LCM of denominators i.e. for 174,9039 is 524262.
Thus, GCF of Fractions is 1/524262.Finally, GCF of Fractions for 1371/174, 5312/9039 is 1/524262.