GCF of 9852/185, 1312/6874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9852/185, 1312/6874 i.e 4/1271690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9852/185, 1312/6874.
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 9852/185,1312/6874?
Given fractions are 9852/185,1312/6874
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 9852/185,1312/6874, numerators are 9852,1312
Denominators are 185,6874
The GCF of 9852,1312 is 4 .
LCM of 185,6874 is 1271690.
The greatest common factor of 9852/185,1312/6874 = [GCF of 9852,1312]/[LCM of 185,6874]= 4/1271690
Therefore, the GCF of 9852/185,1312/6874 is 4/1271690.
To find the highest common factor of 9852,1312, 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 1312 are 1, 2, 4, 8, 16, 32, 41, 82, 164, 328, 656, 1312
The HCF of 9852,1312 is 4.
Lets's calculate GCF of 9852,1312
| 2 | 9852, 1312 |
| 2 | 4926, 656 |
| 2463, 328 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9852,1312 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 1312
:1,2,4,8,16,32,41,82,164,328,656,1312
Greatest Common Factor
We found the factors 9852,1312 . The biggest common factor number is the GCF number.
So the greatest common factor 9852,1312 is 4.
Lets's calculate LCM of 185,6874
Given numbers has no common factors except 1. So, there LCM is their product i.e 1271690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1271690
Therefore, the GCF of Fractions 9852/185,1312/6874 is 4/1271690
Least Common Multiple of 185,6874 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 185,6874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,6874) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(185,6874) x common factors =1 x 1 = 1
LCM(185,6874) = ( 185 × 6874 ) / 1
LCM(185,6874) = 1271690 / 1
LCM(185,6874) = 1271690
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FAQs on GCF of Fractions of 9852/185, 1312/6874
1. What is the HCF of 9852,1312?
The HCF of 9852,1312 is 4
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 9852/185, 1312/6874?
Answer: GCF of Numerators as per given numbers 9852/185, 1312/6874 is
GCF of Numerators i.e. for 9852,1312 is 4
LCM of denominators i.e. for 185,6874 is 1271690.
Thus, GCF of Fractions is 4/1271690.Finally, GCF of Fractions for 9852/185, 1312/6874 is 4/1271690.