GCF of 3437/406, 5707/602
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3437/406, 5707/602 i.e 1/17458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3437/406, 5707/602.
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 3437/406,5707/602?
Given fractions are 3437/406,5707/602
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 3437/406,5707/602, numerators are 3437,5707
Denominators are 406,602
The GCF of 3437,5707 is 1 .
LCM of 406,602 is 17458.
The greatest common factor of 3437/406,5707/602 = [GCF of 3437,5707]/[LCM of 406,602]= 1/17458
Therefore, the GCF of 3437/406,5707/602 is 1/17458.
To find the highest common factor of 3437,5707, we have to find the factors of both numbers and list the highest common factor.
The factors of 3437 are 1, 7, 491, 3437
The factors of 5707 are 1, 13, 439, 5707
The HCF of 3437,5707 is 1.
Lets's calculate GCF of 3437,5707
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3437,5707 By Matching Biggest Common Factor Method
Now, list down the factors of 3437
:1,7,491,3437
Now, list down the factors of 5707
:1,13,439,5707
Greatest Common Factor
We found the factors 3437,5707 . The biggest common factor number is the GCF number.
So the greatest common factor 3437,5707 is 1.
Lets's calculate LCM of 406,602
| 2 | 406, 602 |
| 7 | 203, 301 |
| 29, 43 |
∴ So the LCM of the given numbers is 2 x 7 x 29 x 43 = 17458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17458
Therefore, the GCF of Fractions 3437/406,5707/602 is 1/17458
Least Common Multiple of 406,602 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 406,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,602) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(406,602) x common factors =14 x 1 = 14
LCM(406,602) = ( 406 × 602 ) / 14
LCM(406,602) = 244412 / 14
LCM(406,602) = 17458
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FAQs on GCF of Fractions of 3437/406, 5707/602
1. What is the HCF of 3437,5707?
The HCF of 3437,5707 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 3437/406, 5707/602?
Answer: GCF of Numerators as per given numbers 3437/406, 5707/602 is
GCF of Numerators i.e. for 3437,5707 is 1
LCM of denominators i.e. for 406,602 is 17458.
Thus, GCF of Fractions is 1/17458.Finally, GCF of Fractions for 3437/406, 5707/602 is 1/17458.