GCF of 937/412, 3738/916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 937/412, 3738/916 i.e 1/94348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 937/412, 3738/916.
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 937/412,3738/916?
Given fractions are 937/412,3738/916
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 937/412,3738/916, numerators are 937,3738
Denominators are 412,916
The GCF of 937,3738 is 1 .
LCM of 412,916 is 94348.
The greatest common factor of 937/412,3738/916 = [GCF of 937,3738]/[LCM of 412,916]= 1/94348
Therefore, the GCF of 937/412,3738/916 is 1/94348.
To find the highest common factor of 937,3738, we have to find the factors of both numbers and list the highest common factor.
The factors of 937 are 1, 937
The factors of 3738 are 1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869, 3738
The HCF of 937,3738 is 1.
Lets's calculate GCF of 937,3738
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 937,3738 By Matching Biggest Common Factor Method
Now, list down the factors of 937
:1,937
Now, list down the factors of 3738
:1,2,3,6,7,14,21,42,89,178,267,534,623,1246,1869,3738
Greatest Common Factor
We found the factors 937,3738 . The biggest common factor number is the GCF number.
So the greatest common factor 937,3738 is 1.
Lets's calculate LCM of 412,916
| 2 | 412, 916 |
| 2 | 206, 458 |
| 103, 229 |
∴ So the LCM of the given numbers is 2 x 2 x 103 x 229 = 94348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94348
Therefore, the GCF of Fractions 937/412,3738/916 is 1/94348
Least Common Multiple of 412,916 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 412,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,916) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(412,916) x common factors =4 x 1 = 4
LCM(412,916) = ( 412 × 916 ) / 4
LCM(412,916) = 377392 / 4
LCM(412,916) = 94348
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FAQs on GCF of Fractions of 937/412, 3738/916
1. What is the HCF of 937,3738?
The HCF of 937,3738 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 937/412, 3738/916?
Answer: GCF of Numerators as per given numbers 937/412, 3738/916 is
GCF of Numerators i.e. for 937,3738 is 1
LCM of denominators i.e. for 412,916 is 94348.
Thus, GCF of Fractions is 1/94348.Finally, GCF of Fractions for 937/412, 3738/916 is 1/94348.