GCF of 954/40, 689/9784
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 954/40, 689/9784 i.e 53/48920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 954/40, 689/9784.
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 954/40,689/9784?
Given fractions are 954/40,689/9784
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 954/40,689/9784, numerators are 954,689
Denominators are 40,9784
The GCF of 954,689 is 53 .
LCM of 40,9784 is 48920.
The greatest common factor of 954/40,689/9784 = [GCF of 954,689]/[LCM of 40,9784]= 53/48920
Therefore, the GCF of 954/40,689/9784 is 53/48920.
To find the highest common factor of 954,689, we have to find the factors of both numbers and list the highest common factor.
The factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
The factors of 689 are 1, 13, 53, 689
The HCF of 954,689 is 53.
Lets's calculate GCF of 954,689
| 53 | 954, 689 |
| 18, 13 |
∴ So the GCF of the given numbers is 53 = 53
Greatest Common Factor of 954,689 By Matching Biggest Common Factor Method
Now, list down the factors of 954
:1,2,3,6,9,18,53,106,159,318,477,954
Now, list down the factors of 689
:1,13,53,689
Greatest Common Factor
We found the factors 954,689 . The biggest common factor number is the GCF number.
So the greatest common factor 954,689 is 53.
Lets's calculate LCM of 40,9784
| 2 | 40, 9784 |
| 2 | 20, 4892 |
| 2 | 10, 2446 |
| 5, 1223 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1223 = 48920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/48920
Therefore, the GCF of Fractions 954/40,689/9784 is 53/48920
Least Common Multiple of 40,9784 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 40,9784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,9784) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(40,9784) x common factors =8 x 1 = 8
LCM(40,9784) = ( 40 × 9784 ) / 8
LCM(40,9784) = 391360 / 8
LCM(40,9784) = 48920
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FAQs on GCF of Fractions of 954/40, 689/9784
1. What is the HCF of 954,689?
The HCF of 954,689 is 53
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 954/40, 689/9784?
Answer: GCF of Numerators as per given numbers 954/40, 689/9784 is
GCF of Numerators i.e. for 954,689 is 53
LCM of denominators i.e. for 40,9784 is 48920.
Thus, GCF of Fractions is 53/48920.Finally, GCF of Fractions for 954/40, 689/9784 is 53/48920.