GCF of 5458/172, 9714/7127
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5458/172, 9714/7127 i.e 2/1225844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5458/172, 9714/7127.
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 5458/172,9714/7127?
Given fractions are 5458/172,9714/7127
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 5458/172,9714/7127, numerators are 5458,9714
Denominators are 172,7127
The GCF of 5458,9714 is 2 .
LCM of 172,7127 is 1225844.
The greatest common factor of 5458/172,9714/7127 = [GCF of 5458,9714]/[LCM of 172,7127]= 2/1225844
Therefore, the GCF of 5458/172,9714/7127 is 2/1225844.
To find the highest common factor of 5458,9714, we have to find the factors of both numbers and list the highest common factor.
The factors of 5458 are 1, 2, 2729, 5458
The factors of 9714 are 1, 2, 3, 6, 1619, 3238, 4857, 9714
The HCF of 5458,9714 is 2.
Lets's calculate GCF of 5458,9714
| 2 | 5458, 9714 |
| 2729, 4857 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5458,9714 By Matching Biggest Common Factor Method
Now, list down the factors of 5458
:1,2,2729,5458
Now, list down the factors of 9714
:1,2,3,6,1619,3238,4857,9714
Greatest Common Factor
We found the factors 5458,9714 . The biggest common factor number is the GCF number.
So the greatest common factor 5458,9714 is 2.
Lets's calculate LCM of 172,7127
Given numbers has no common factors except 1. So, there LCM is their product i.e 1225844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1225844
Therefore, the GCF of Fractions 5458/172,9714/7127 is 2/1225844
Least Common Multiple of 172,7127 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 172,7127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,7127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(172,7127) x common factors =1 x 1 = 1
LCM(172,7127) = ( 172 × 7127 ) / 1
LCM(172,7127) = 1225844 / 1
LCM(172,7127) = 1225844
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FAQs on GCF of Fractions of 5458/172, 9714/7127
1. What is the HCF of 5458,9714?
The HCF of 5458,9714 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 5458/172, 9714/7127?
Answer: GCF of Numerators as per given numbers 5458/172, 9714/7127 is
GCF of Numerators i.e. for 5458,9714 is 2
LCM of denominators i.e. for 172,7127 is 1225844.
Thus, GCF of Fractions is 2/1225844.Finally, GCF of Fractions for 5458/172, 9714/7127 is 2/1225844.