GCF of 4196/105, 7429/957
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4196/105, 7429/957 i.e 1/33495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4196/105, 7429/957.
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 4196/105,7429/957?
Given fractions are 4196/105,7429/957
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 4196/105,7429/957, numerators are 4196,7429
Denominators are 105,957
The GCF of 4196,7429 is 1 .
LCM of 105,957 is 33495.
The greatest common factor of 4196/105,7429/957 = [GCF of 4196,7429]/[LCM of 105,957]= 1/33495
Therefore, the GCF of 4196/105,7429/957 is 1/33495.
To find the highest common factor of 4196,7429, we have to find the factors of both numbers and list the highest common factor.
The factors of 4196 are 1, 2, 4, 1049, 2098, 4196
The factors of 7429 are 1, 17, 19, 23, 323, 391, 437, 7429
The HCF of 4196,7429 is 1.
Lets's calculate GCF of 4196,7429
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4196,7429 By Matching Biggest Common Factor Method
Now, list down the factors of 4196
:1,2,4,1049,2098,4196
Now, list down the factors of 7429
:1,17,19,23,323,391,437,7429
Greatest Common Factor
We found the factors 4196,7429 . The biggest common factor number is the GCF number.
So the greatest common factor 4196,7429 is 1.
Lets's calculate LCM of 105,957
| 3 | 105, 957 |
| 35, 319 |
∴ So the LCM of the given numbers is 3 x 35 x 319 = 33495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33495
Therefore, the GCF of Fractions 4196/105,7429/957 is 1/33495
Least Common Multiple of 105,957 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 105,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,957) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(105,957) x common factors =3 x 1 = 3
LCM(105,957) = ( 105 × 957 ) / 3
LCM(105,957) = 100485 / 3
LCM(105,957) = 33495
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FAQs on GCF of Fractions of 4196/105, 7429/957
1. What is the HCF of 4196,7429?
The HCF of 4196,7429 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 4196/105, 7429/957?
Answer: GCF of Numerators as per given numbers 4196/105, 7429/957 is
GCF of Numerators i.e. for 4196,7429 is 1
LCM of denominators i.e. for 105,957 is 33495.
Thus, GCF of Fractions is 1/33495.Finally, GCF of Fractions for 4196/105, 7429/957 is 1/33495.