GCF of 9751/128, 3657/206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9751/128, 3657/206 i.e 1/13184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9751/128, 3657/206.
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 9751/128,3657/206?
Given fractions are 9751/128,3657/206
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 9751/128,3657/206, numerators are 9751,3657
Denominators are 128,206
The GCF of 9751,3657 is 1 .
LCM of 128,206 is 13184.
The greatest common factor of 9751/128,3657/206 = [GCF of 9751,3657]/[LCM of 128,206]= 1/13184
Therefore, the GCF of 9751/128,3657/206 is 1/13184.
To find the highest common factor of 9751,3657, we have to find the factors of both numbers and list the highest common factor.
The factors of 9751 are 1, 7, 49, 199, 1393, 9751
The factors of 3657 are 1, 3, 23, 53, 69, 159, 1219, 3657
The HCF of 9751,3657 is 1.
Lets's calculate GCF of 9751,3657
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9751,3657 By Matching Biggest Common Factor Method
Now, list down the factors of 9751
:1,7,49,199,1393,9751
Now, list down the factors of 3657
:1,3,23,53,69,159,1219,3657
Greatest Common Factor
We found the factors 9751,3657 . The biggest common factor number is the GCF number.
So the greatest common factor 9751,3657 is 1.
Lets's calculate LCM of 128,206
| 2 | 128, 206 |
| 64, 103 |
∴ So the LCM of the given numbers is 2 x 64 x 103 = 13184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13184
Therefore, the GCF of Fractions 9751/128,3657/206 is 1/13184
Least Common Multiple of 128,206 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 128,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(128,206) x common factors =2 x 1 = 2
LCM(128,206) = ( 128 × 206 ) / 2
LCM(128,206) = 26368 / 2
LCM(128,206) = 13184
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FAQs on GCF of Fractions of 9751/128, 3657/206
1. What is the HCF of 9751,3657?
The HCF of 9751,3657 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 9751/128, 3657/206?
Answer: GCF of Numerators as per given numbers 9751/128, 3657/206 is
GCF of Numerators i.e. for 9751,3657 is 1
LCM of denominators i.e. for 128,206 is 13184.
Thus, GCF of Fractions is 1/13184.Finally, GCF of Fractions for 9751/128, 3657/206 is 1/13184.