GCF of 8183/242, 9508/9758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8183/242, 9508/9758 i.e 1/1180718 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8183/242, 9508/9758.
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 8183/242,9508/9758?
Given fractions are 8183/242,9508/9758
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 8183/242,9508/9758, numerators are 8183,9508
Denominators are 242,9758
The GCF of 8183,9508 is 1 .
LCM of 242,9758 is 1180718.
The greatest common factor of 8183/242,9508/9758 = [GCF of 8183,9508]/[LCM of 242,9758]= 1/1180718
Therefore, the GCF of 8183/242,9508/9758 is 1/1180718.
To find the highest common factor of 8183,9508, we have to find the factors of both numbers and list the highest common factor.
The factors of 8183 are 1, 7, 49, 167, 1169, 8183
The factors of 9508 are 1, 2, 4, 2377, 4754, 9508
The HCF of 8183,9508 is 1.
Lets's calculate GCF of 8183,9508
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8183,9508 By Matching Biggest Common Factor Method
Now, list down the factors of 8183
:1,7,49,167,1169,8183
Now, list down the factors of 9508
:1,2,4,2377,4754,9508
Greatest Common Factor
We found the factors 8183,9508 . The biggest common factor number is the GCF number.
So the greatest common factor 8183,9508 is 1.
Lets's calculate LCM of 242,9758
| 2 | 242, 9758 |
| 121, 4879 |
∴ So the LCM of the given numbers is 2 x 121 x 4879 = 1180718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1180718
Therefore, the GCF of Fractions 8183/242,9508/9758 is 1/1180718
Least Common Multiple of 242,9758 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 242,9758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,9758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(242,9758) x common factors =2 x 1 = 2
LCM(242,9758) = ( 242 × 9758 ) / 2
LCM(242,9758) = 2361436 / 2
LCM(242,9758) = 1180718
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FAQs on GCF of Fractions of 8183/242, 9508/9758
1. What is the HCF of 8183,9508?
The HCF of 8183,9508 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 8183/242, 9508/9758?
Answer: GCF of Numerators as per given numbers 8183/242, 9508/9758 is
GCF of Numerators i.e. for 8183,9508 is 1
LCM of denominators i.e. for 242,9758 is 1180718.
Thus, GCF of Fractions is 1/1180718.Finally, GCF of Fractions for 8183/242, 9508/9758 is 1/1180718.