GCF of 3457/238, 7983/204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3457/238, 7983/204 i.e 1/1428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3457/238, 7983/204.
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 3457/238,7983/204?
Given fractions are 3457/238,7983/204
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 3457/238,7983/204, numerators are 3457,7983
Denominators are 238,204
The GCF of 3457,7983 is 1 .
LCM of 238,204 is 1428.
The greatest common factor of 3457/238,7983/204 = [GCF of 3457,7983]/[LCM of 238,204]= 1/1428
Therefore, the GCF of 3457/238,7983/204 is 1/1428.
To find the highest common factor of 3457,7983, we have to find the factors of both numbers and list the highest common factor.
The factors of 3457 are 1, 3457
The factors of 7983 are 1, 3, 9, 887, 2661, 7983
The HCF of 3457,7983 is 1.
Lets's calculate GCF of 3457,7983
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3457,7983 By Matching Biggest Common Factor Method
Now, list down the factors of 3457
:1,3457
Now, list down the factors of 7983
:1,3,9,887,2661,7983
Greatest Common Factor
We found the factors 3457,7983 . The biggest common factor number is the GCF number.
So the greatest common factor 3457,7983 is 1.
Lets's calculate LCM of 238,204
| 2 | 238, 204 |
| 17 | 119, 102 |
| 7, 6 |
∴ So the LCM of the given numbers is 2 x 17 x 7 x 6 = 1428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1428
Therefore, the GCF of Fractions 3457/238,7983/204 is 1/1428
Least Common Multiple of 238,204 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 238,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,204) = 34
common factors(in case of two or more numbers have common factors) = 1
GCF(238,204) x common factors =34 x 1 = 34
LCM(238,204) = ( 238 × 204 ) / 34
LCM(238,204) = 48552 / 34
LCM(238,204) = 1428
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FAQs on GCF of Fractions of 3457/238, 7983/204
1. What is the HCF of 3457,7983?
The HCF of 3457,7983 is 1
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 3457/238, 7983/204?
Answer: GCF of Numerators as per given numbers 3457/238, 7983/204 is
GCF of Numerators i.e. for 3457,7983 is 1
LCM of denominators i.e. for 238,204 is 1428.
Thus, GCF of Fractions is 1/1428.Finally, GCF of Fractions for 3457/238, 7983/204 is 1/1428.