GCF of 9852/172, 4927/2616
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9852/172, 4927/2616 i.e 1/112488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9852/172, 4927/2616.
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 9852/172,4927/2616?
Given fractions are 9852/172,4927/2616
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 9852/172,4927/2616, numerators are 9852,4927
Denominators are 172,2616
The GCF of 9852,4927 is 1 .
LCM of 172,2616 is 112488.
The greatest common factor of 9852/172,4927/2616 = [GCF of 9852,4927]/[LCM of 172,2616]= 1/112488
Therefore, the GCF of 9852/172,4927/2616 is 1/112488.
To find the highest common factor of 9852,4927, we have to find the factors of both numbers and list the highest common factor.
The factors of 9852 are 1, 2, 3, 4, 6, 12, 821, 1642, 2463, 3284, 4926, 9852
The factors of 4927 are 1, 13, 379, 4927
The HCF of 9852,4927 is 1.
Lets's calculate GCF of 9852,4927
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9852,4927 By Matching Biggest Common Factor Method
Now, list down the factors of 9852
:1,2,3,4,6,12,821,1642,2463,3284,4926,9852
Now, list down the factors of 4927
:1,13,379,4927
Greatest Common Factor
We found the factors 9852,4927 . The biggest common factor number is the GCF number.
So the greatest common factor 9852,4927 is 1.
Lets's calculate LCM of 172,2616
| 2 | 172, 2616 |
| 2 | 86, 1308 |
| 43, 654 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 654 = 112488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112488
Therefore, the GCF of Fractions 9852/172,4927/2616 is 1/112488
Least Common Multiple of 172,2616 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 172,2616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,2616) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(172,2616) x common factors =4 x 1 = 4
LCM(172,2616) = ( 172 × 2616 ) / 4
LCM(172,2616) = 449952 / 4
LCM(172,2616) = 112488
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FAQs on GCF of Fractions of 9852/172, 4927/2616
1. What is the HCF of 9852,4927?
The HCF of 9852,4927 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 9852/172, 4927/2616?
Answer: GCF of Numerators as per given numbers 9852/172, 4927/2616 is
GCF of Numerators i.e. for 9852,4927 is 1
LCM of denominators i.e. for 172,2616 is 112488.
Thus, GCF of Fractions is 1/112488.Finally, GCF of Fractions for 9852/172, 4927/2616 is 1/112488.