GCF of 9836/362, 1748/4865
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9836/362, 1748/4865 i.e 4/1761130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9836/362, 1748/4865.
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 9836/362,1748/4865?
Given fractions are 9836/362,1748/4865
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 9836/362,1748/4865, numerators are 9836,1748
Denominators are 362,4865
The GCF of 9836,1748 is 4 .
LCM of 362,4865 is 1761130.
The greatest common factor of 9836/362,1748/4865 = [GCF of 9836,1748]/[LCM of 362,4865]= 4/1761130
Therefore, the GCF of 9836/362,1748/4865 is 4/1761130.
To find the highest common factor of 9836,1748, we have to find the factors of both numbers and list the highest common factor.
The factors of 9836 are 1, 2, 4, 2459, 4918, 9836
The factors of 1748 are 1, 2, 4, 19, 23, 38, 46, 76, 92, 437, 874, 1748
The HCF of 9836,1748 is 4.
Lets's calculate GCF of 9836,1748
| 2 | 9836, 1748 |
| 2 | 4918, 874 |
| 2459, 437 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9836,1748 By Matching Biggest Common Factor Method
Now, list down the factors of 9836
:1,2,4,2459,4918,9836
Now, list down the factors of 1748
:1,2,4,19,23,38,46,76,92,437,874,1748
Greatest Common Factor
We found the factors 9836,1748 . The biggest common factor number is the GCF number.
So the greatest common factor 9836,1748 is 4.
Lets's calculate LCM of 362,4865
Given numbers has no common factors except 1. So, there LCM is their product i.e 1761130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1761130
Therefore, the GCF of Fractions 9836/362,1748/4865 is 4/1761130
Least Common Multiple of 362,4865 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 362,4865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,4865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(362,4865) x common factors =1 x 1 = 1
LCM(362,4865) = ( 362 × 4865 ) / 1
LCM(362,4865) = 1761130 / 1
LCM(362,4865) = 1761130
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FAQs on GCF of Fractions of 9836/362, 1748/4865
1. What is the HCF of 9836,1748?
The HCF of 9836,1748 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 9836/362, 1748/4865?
Answer: GCF of Numerators as per given numbers 9836/362, 1748/4865 is
GCF of Numerators i.e. for 9836,1748 is 4
LCM of denominators i.e. for 362,4865 is 1761130.
Thus, GCF of Fractions is 4/1761130.Finally, GCF of Fractions for 9836/362, 1748/4865 is 4/1761130.