GCF of 9700/846, 1238/468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9700/846, 1238/468 i.e 2/21996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9700/846, 1238/468.
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 9700/846,1238/468?
Given fractions are 9700/846,1238/468
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 9700/846,1238/468, numerators are 9700,1238
Denominators are 846,468
The GCF of 9700,1238 is 2 .
LCM of 846,468 is 21996.
The greatest common factor of 9700/846,1238/468 = [GCF of 9700,1238]/[LCM of 846,468]= 2/21996
Therefore, the GCF of 9700/846,1238/468 is 2/21996.
To find the highest common factor of 9700,1238, we have to find the factors of both numbers and list the highest common factor.
The factors of 9700 are 1, 2, 4, 5, 10, 20, 25, 50, 97, 100, 194, 388, 485, 970, 1940, 2425, 4850, 9700
The factors of 1238 are 1, 2, 619, 1238
The HCF of 9700,1238 is 2.
Lets's calculate GCF of 9700,1238
| 2 | 9700, 1238 |
| 4850, 619 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9700,1238 By Matching Biggest Common Factor Method
Now, list down the factors of 9700
:1,2,4,5,10,20,25,50,97,100,194,388,485,970,1940,2425,4850,9700
Now, list down the factors of 1238
:1,2,619,1238
Greatest Common Factor
We found the factors 9700,1238 . The biggest common factor number is the GCF number.
So the greatest common factor 9700,1238 is 2.
Lets's calculate LCM of 846,468
| 2 | 846, 468 |
| 3 | 423, 234 |
| 3 | 141, 78 |
| 47, 26 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 47 x 26 = 21996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21996
Therefore, the GCF of Fractions 9700/846,1238/468 is 2/21996
Least Common Multiple of 846,468 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 846,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,468) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(846,468) x common factors =18 x 1 = 18
LCM(846,468) = ( 846 × 468 ) / 18
LCM(846,468) = 395928 / 18
LCM(846,468) = 21996
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FAQs on GCF of Fractions of 9700/846, 1238/468
1. What is the HCF of 9700,1238?
The HCF of 9700,1238 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 9700/846, 1238/468?
Answer: GCF of Numerators as per given numbers 9700/846, 1238/468 is
GCF of Numerators i.e. for 9700,1238 is 2
LCM of denominators i.e. for 846,468 is 21996.
Thus, GCF of Fractions is 2/21996.Finally, GCF of Fractions for 9700/846, 1238/468 is 2/21996.