GCF of 9759/970, 2658/9753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9759/970, 2658/9753 i.e 3/9460410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9759/970, 2658/9753.
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 9759/970,2658/9753?
Given fractions are 9759/970,2658/9753
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 9759/970,2658/9753, numerators are 9759,2658
Denominators are 970,9753
The GCF of 9759,2658 is 3 .
LCM of 970,9753 is 9460410.
The greatest common factor of 9759/970,2658/9753 = [GCF of 9759,2658]/[LCM of 970,9753]= 3/9460410
Therefore, the GCF of 9759/970,2658/9753 is 3/9460410.
To find the highest common factor of 9759,2658, we have to find the factors of both numbers and list the highest common factor.
The factors of 9759 are 1, 3, 3253, 9759
The factors of 2658 are 1, 2, 3, 6, 443, 886, 1329, 2658
The HCF of 9759,2658 is 3.
Lets's calculate GCF of 9759,2658
| 3 | 9759, 2658 |
| 3253, 886 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9759,2658 By Matching Biggest Common Factor Method
Now, list down the factors of 9759
:1,3,3253,9759
Now, list down the factors of 2658
:1,2,3,6,443,886,1329,2658
Greatest Common Factor
We found the factors 9759,2658 . The biggest common factor number is the GCF number.
So the greatest common factor 9759,2658 is 3.
Lets's calculate LCM of 970,9753
Given numbers has no common factors except 1. So, there LCM is their product i.e 9460410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9460410
Therefore, the GCF of Fractions 9759/970,2658/9753 is 3/9460410
Least Common Multiple of 970,9753 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 970,9753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,9753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(970,9753) x common factors =1 x 1 = 1
LCM(970,9753) = ( 970 × 9753 ) / 1
LCM(970,9753) = 9460410 / 1
LCM(970,9753) = 9460410
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FAQs on GCF of Fractions of 9759/970, 2658/9753
1. What is the HCF of 9759,2658?
The HCF of 9759,2658 is 3
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 9759/970, 2658/9753?
Answer: GCF of Numerators as per given numbers 9759/970, 2658/9753 is
GCF of Numerators i.e. for 9759,2658 is 3
LCM of denominators i.e. for 970,9753 is 9460410.
Thus, GCF of Fractions is 3/9460410.Finally, GCF of Fractions for 9759/970, 2658/9753 is 3/9460410.