GCF of 9740/865, 1378/8131
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9740/865, 1378/8131 i.e 2/40655 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9740/865, 1378/8131.
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 9740/865,1378/8131?
Given fractions are 9740/865,1378/8131
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 9740/865,1378/8131, numerators are 9740,1378
Denominators are 865,8131
The GCF of 9740,1378 is 2 .
LCM of 865,8131 is 40655.
The greatest common factor of 9740/865,1378/8131 = [GCF of 9740,1378]/[LCM of 865,8131]= 2/40655
Therefore, the GCF of 9740/865,1378/8131 is 2/40655.
To find the highest common factor of 9740,1378, we have to find the factors of both numbers and list the highest common factor.
The factors of 9740 are 1, 2, 4, 5, 10, 20, 487, 974, 1948, 2435, 4870, 9740
The factors of 1378 are 1, 2, 13, 26, 53, 106, 689, 1378
The HCF of 9740,1378 is 2.
Lets's calculate GCF of 9740,1378
| 2 | 9740, 1378 |
| 4870, 689 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9740,1378 By Matching Biggest Common Factor Method
Now, list down the factors of 9740
:1,2,4,5,10,20,487,974,1948,2435,4870,9740
Now, list down the factors of 1378
:1,2,13,26,53,106,689,1378
Greatest Common Factor
We found the factors 9740,1378 . The biggest common factor number is the GCF number.
So the greatest common factor 9740,1378 is 2.
Lets's calculate LCM of 865,8131
| 173 | 865, 8131 |
| 5, 47 |
∴ So the LCM of the given numbers is 173 x 5 x 47 = 40655
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40655
Therefore, the GCF of Fractions 9740/865,1378/8131 is 2/40655
Least Common Multiple of 865,8131 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 865,8131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,8131) = 173
common factors(in case of two or more numbers have common factors) = 1
GCF(865,8131) x common factors =173 x 1 = 173
LCM(865,8131) = ( 865 × 8131 ) / 173
LCM(865,8131) = 7033315 / 173
LCM(865,8131) = 40655
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FAQs on GCF of Fractions of 9740/865, 1378/8131
1. What is the HCF of 9740,1378?
The HCF of 9740,1378 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 9740/865, 1378/8131?
Answer: GCF of Numerators as per given numbers 9740/865, 1378/8131 is
GCF of Numerators i.e. for 9740,1378 is 2
LCM of denominators i.e. for 865,8131 is 40655.
Thus, GCF of Fractions is 2/40655.Finally, GCF of Fractions for 9740/865, 1378/8131 is 2/40655.