GCF of 3541/192, 6407/2638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3541/192, 6407/2638 i.e 1/253248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3541/192, 6407/2638.
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 3541/192,6407/2638?
Given fractions are 3541/192,6407/2638
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 3541/192,6407/2638, numerators are 3541,6407
Denominators are 192,2638
The GCF of 3541,6407 is 1 .
LCM of 192,2638 is 253248.
The greatest common factor of 3541/192,6407/2638 = [GCF of 3541,6407]/[LCM of 192,2638]= 1/253248
Therefore, the GCF of 3541/192,6407/2638 is 1/253248.
To find the highest common factor of 3541,6407, we have to find the factors of both numbers and list the highest common factor.
The factors of 3541 are 1, 3541
The factors of 6407 are 1, 43, 149, 6407
The HCF of 3541,6407 is 1.
Lets's calculate GCF of 3541,6407
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3541,6407 By Matching Biggest Common Factor Method
Now, list down the factors of 3541
:1,3541
Now, list down the factors of 6407
:1,43,149,6407
Greatest Common Factor
We found the factors 3541,6407 . The biggest common factor number is the GCF number.
So the greatest common factor 3541,6407 is 1.
Lets's calculate LCM of 192,2638
| 2 | 192, 2638 |
| 96, 1319 |
∴ So the LCM of the given numbers is 2 x 96 x 1319 = 253248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/253248
Therefore, the GCF of Fractions 3541/192,6407/2638 is 1/253248
Least Common Multiple of 192,2638 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 192,2638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,2638) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(192,2638) x common factors =2 x 1 = 2
LCM(192,2638) = ( 192 × 2638 ) / 2
LCM(192,2638) = 506496 / 2
LCM(192,2638) = 253248
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FAQs on GCF of Fractions of 3541/192, 6407/2638
1. What is the HCF of 3541,6407?
The HCF of 3541,6407 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 3541/192, 6407/2638?
Answer: GCF of Numerators as per given numbers 3541/192, 6407/2638 is
GCF of Numerators i.e. for 3541,6407 is 1
LCM of denominators i.e. for 192,2638 is 253248.
Thus, GCF of Fractions is 1/253248.Finally, GCF of Fractions for 3541/192, 6407/2638 is 1/253248.