GCF of 9836/422, 7138/2929
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9836/422, 7138/2929 i.e 2/1236038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9836/422, 7138/2929.
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 9836/422,7138/2929?
Given fractions are 9836/422,7138/2929
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 9836/422,7138/2929, numerators are 9836,7138
Denominators are 422,2929
The GCF of 9836,7138 is 2 .
LCM of 422,2929 is 1236038.
The greatest common factor of 9836/422,7138/2929 = [GCF of 9836,7138]/[LCM of 422,2929]= 2/1236038
Therefore, the GCF of 9836/422,7138/2929 is 2/1236038.
To find the highest common factor of 9836,7138, 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 7138 are 1, 2, 43, 83, 86, 166, 3569, 7138
The HCF of 9836,7138 is 2.
Lets's calculate GCF of 9836,7138
| 2 | 9836, 7138 |
| 4918, 3569 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9836,7138 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 7138
:1,2,43,83,86,166,3569,7138
Greatest Common Factor
We found the factors 9836,7138 . The biggest common factor number is the GCF number.
So the greatest common factor 9836,7138 is 2.
Lets's calculate LCM of 422,2929
Given numbers has no common factors except 1. So, there LCM is their product i.e 1236038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1236038
Therefore, the GCF of Fractions 9836/422,7138/2929 is 2/1236038
Least Common Multiple of 422,2929 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 422,2929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,2929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(422,2929) x common factors =1 x 1 = 1
LCM(422,2929) = ( 422 × 2929 ) / 1
LCM(422,2929) = 1236038 / 1
LCM(422,2929) = 1236038
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FAQs on GCF of Fractions of 9836/422, 7138/2929
1. What is the HCF of 9836,7138?
The HCF of 9836,7138 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 9836/422, 7138/2929?
Answer: GCF of Numerators as per given numbers 9836/422, 7138/2929 is
GCF of Numerators i.e. for 9836,7138 is 2
LCM of denominators i.e. for 422,2929 is 1236038.
Thus, GCF of Fractions is 2/1236038.Finally, GCF of Fractions for 9836/422, 7138/2929 is 2/1236038.