GCF of 3736/496, 5371/7426
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3736/496, 5371/7426 i.e 1/1841648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3736/496, 5371/7426.
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 3736/496,5371/7426?
Given fractions are 3736/496,5371/7426
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 3736/496,5371/7426, numerators are 3736,5371
Denominators are 496,7426
The GCF of 3736,5371 is 1 .
LCM of 496,7426 is 1841648.
The greatest common factor of 3736/496,5371/7426 = [GCF of 3736,5371]/[LCM of 496,7426]= 1/1841648
Therefore, the GCF of 3736/496,5371/7426 is 1/1841648.
To find the highest common factor of 3736,5371, we have to find the factors of both numbers and list the highest common factor.
The factors of 3736 are 1, 2, 4, 8, 467, 934, 1868, 3736
The factors of 5371 are 1, 41, 131, 5371
The HCF of 3736,5371 is 1.
Lets's calculate GCF of 3736,5371
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3736,5371 By Matching Biggest Common Factor Method
Now, list down the factors of 3736
:1,2,4,8,467,934,1868,3736
Now, list down the factors of 5371
:1,41,131,5371
Greatest Common Factor
We found the factors 3736,5371 . The biggest common factor number is the GCF number.
So the greatest common factor 3736,5371 is 1.
Lets's calculate LCM of 496,7426
| 2 | 496, 7426 |
| 248, 3713 |
∴ So the LCM of the given numbers is 2 x 248 x 3713 = 1841648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1841648
Therefore, the GCF of Fractions 3736/496,5371/7426 is 1/1841648
Least Common Multiple of 496,7426 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 496,7426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,7426) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(496,7426) x common factors =2 x 1 = 2
LCM(496,7426) = ( 496 × 7426 ) / 2
LCM(496,7426) = 3683296 / 2
LCM(496,7426) = 1841648
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FAQs on GCF of Fractions of 3736/496, 5371/7426
1. What is the HCF of 3736,5371?
The HCF of 3736,5371 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 3736/496, 5371/7426?
Answer: GCF of Numerators as per given numbers 3736/496, 5371/7426 is
GCF of Numerators i.e. for 3736,5371 is 1
LCM of denominators i.e. for 496,7426 is 1841648.
Thus, GCF of Fractions is 1/1841648.Finally, GCF of Fractions for 3736/496, 5371/7426 is 1/1841648.