GCF of 9698/145, 6976/2334
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9698/145, 6976/2334 i.e 2/338430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9698/145, 6976/2334.
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 9698/145,6976/2334?
Given fractions are 9698/145,6976/2334
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 9698/145,6976/2334, numerators are 9698,6976
Denominators are 145,2334
The GCF of 9698,6976 is 2 .
LCM of 145,2334 is 338430.
The greatest common factor of 9698/145,6976/2334 = [GCF of 9698,6976]/[LCM of 145,2334]= 2/338430
Therefore, the GCF of 9698/145,6976/2334 is 2/338430.
To find the highest common factor of 9698,6976, we have to find the factors of both numbers and list the highest common factor.
The factors of 9698 are 1, 2, 13, 26, 373, 746, 4849, 9698
The factors of 6976 are 1, 2, 4, 8, 16, 32, 64, 109, 218, 436, 872, 1744, 3488, 6976
The HCF of 9698,6976 is 2.
Lets's calculate GCF of 9698,6976
| 2 | 9698, 6976 |
| 4849, 3488 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9698,6976 By Matching Biggest Common Factor Method
Now, list down the factors of 9698
:1,2,13,26,373,746,4849,9698
Now, list down the factors of 6976
:1,2,4,8,16,32,64,109,218,436,872,1744,3488,6976
Greatest Common Factor
We found the factors 9698,6976 . The biggest common factor number is the GCF number.
So the greatest common factor 9698,6976 is 2.
Lets's calculate LCM of 145,2334
Given numbers has no common factors except 1. So, there LCM is their product i.e 338430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/338430
Therefore, the GCF of Fractions 9698/145,6976/2334 is 2/338430
Least Common Multiple of 145,2334 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 145,2334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(145,2334) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(145,2334) x common factors =1 x 1 = 1
LCM(145,2334) = ( 145 × 2334 ) / 1
LCM(145,2334) = 338430 / 1
LCM(145,2334) = 338430
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FAQs on GCF of Fractions of 9698/145, 6976/2334
1. What is the HCF of 9698,6976?
The HCF of 9698,6976 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 9698/145, 6976/2334?
Answer: GCF of Numerators as per given numbers 9698/145, 6976/2334 is
GCF of Numerators i.e. for 9698,6976 is 2
LCM of denominators i.e. for 145,2334 is 338430.
Thus, GCF of Fractions is 2/338430.Finally, GCF of Fractions for 9698/145, 6976/2334 is 2/338430.