GCF of 3577/212, 4157/1058
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3577/212, 4157/1058 i.e 1/112148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3577/212, 4157/1058.
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 3577/212,4157/1058?
Given fractions are 3577/212,4157/1058
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 3577/212,4157/1058, numerators are 3577,4157
Denominators are 212,1058
The GCF of 3577,4157 is 1 .
LCM of 212,1058 is 112148.
The greatest common factor of 3577/212,4157/1058 = [GCF of 3577,4157]/[LCM of 212,1058]= 1/112148
Therefore, the GCF of 3577/212,4157/1058 is 1/112148.
To find the highest common factor of 3577,4157, we have to find the factors of both numbers and list the highest common factor.
The factors of 3577 are 1, 7, 49, 73, 511, 3577
The factors of 4157 are 1, 4157
The HCF of 3577,4157 is 1.
Lets's calculate GCF of 3577,4157
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3577,4157 By Matching Biggest Common Factor Method
Now, list down the factors of 3577
:1,7,49,73,511,3577
Now, list down the factors of 4157
:1,4157
Greatest Common Factor
We found the factors 3577,4157 . The biggest common factor number is the GCF number.
So the greatest common factor 3577,4157 is 1.
Lets's calculate LCM of 212,1058
| 2 | 212, 1058 |
| 106, 529 |
∴ So the LCM of the given numbers is 2 x 106 x 529 = 112148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112148
Therefore, the GCF of Fractions 3577/212,4157/1058 is 1/112148
Least Common Multiple of 212,1058 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 212,1058 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,1058) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(212,1058) x common factors =2 x 1 = 2
LCM(212,1058) = ( 212 × 1058 ) / 2
LCM(212,1058) = 224296 / 2
LCM(212,1058) = 112148
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FAQs on GCF of Fractions of 3577/212, 4157/1058
1. What is the HCF of 3577,4157?
The HCF of 3577,4157 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 3577/212, 4157/1058?
Answer: GCF of Numerators as per given numbers 3577/212, 4157/1058 is
GCF of Numerators i.e. for 3577,4157 is 1
LCM of denominators i.e. for 212,1058 is 112148.
Thus, GCF of Fractions is 1/112148.Finally, GCF of Fractions for 3577/212, 4157/1058 is 1/112148.