GCF of 3937/598, 1546/8332
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3937/598, 1546/8332 i.e 1/2491268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3937/598, 1546/8332.
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 3937/598,1546/8332?
Given fractions are 3937/598,1546/8332
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 3937/598,1546/8332, numerators are 3937,1546
Denominators are 598,8332
The GCF of 3937,1546 is 1 .
LCM of 598,8332 is 2491268.
The greatest common factor of 3937/598,1546/8332 = [GCF of 3937,1546]/[LCM of 598,8332]= 1/2491268
Therefore, the GCF of 3937/598,1546/8332 is 1/2491268.
To find the highest common factor of 3937,1546, we have to find the factors of both numbers and list the highest common factor.
The factors of 3937 are 1, 31, 127, 3937
The factors of 1546 are 1, 2, 773, 1546
The HCF of 3937,1546 is 1.
Lets's calculate GCF of 3937,1546
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3937,1546 By Matching Biggest Common Factor Method
Now, list down the factors of 3937
:1,31,127,3937
Now, list down the factors of 1546
:1,2,773,1546
Greatest Common Factor
We found the factors 3937,1546 . The biggest common factor number is the GCF number.
So the greatest common factor 3937,1546 is 1.
Lets's calculate LCM of 598,8332
| 2 | 598, 8332 |
| 299, 4166 |
∴ So the LCM of the given numbers is 2 x 299 x 4166 = 2491268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2491268
Therefore, the GCF of Fractions 3937/598,1546/8332 is 1/2491268
Least Common Multiple of 598,8332 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 598,8332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,8332) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(598,8332) x common factors =2 x 1 = 2
LCM(598,8332) = ( 598 × 8332 ) / 2
LCM(598,8332) = 4982536 / 2
LCM(598,8332) = 2491268
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FAQs on GCF of Fractions of 3937/598, 1546/8332
1. What is the HCF of 3937,1546?
The HCF of 3937,1546 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 3937/598, 1546/8332?
Answer: GCF of Numerators as per given numbers 3937/598, 1546/8332 is
GCF of Numerators i.e. for 3937,1546 is 1
LCM of denominators i.e. for 598,8332 is 2491268.
Thus, GCF of Fractions is 1/2491268.Finally, GCF of Fractions for 3937/598, 1546/8332 is 1/2491268.