GCF of 1937/465, 6501/741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1937/465, 6501/741 i.e 1/114855 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1937/465, 6501/741.
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 1937/465,6501/741?
Given fractions are 1937/465,6501/741
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 1937/465,6501/741, numerators are 1937,6501
Denominators are 465,741
The GCF of 1937,6501 is 1 .
LCM of 465,741 is 114855.
The greatest common factor of 1937/465,6501/741 = [GCF of 1937,6501]/[LCM of 465,741]= 1/114855
Therefore, the GCF of 1937/465,6501/741 is 1/114855.
To find the highest common factor of 1937,6501, we have to find the factors of both numbers and list the highest common factor.
The factors of 1937 are 1, 13, 149, 1937
The factors of 6501 are 1, 3, 11, 33, 197, 591, 2167, 6501
The HCF of 1937,6501 is 1.
Lets's calculate GCF of 1937,6501
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1937,6501 By Matching Biggest Common Factor Method
Now, list down the factors of 1937
:1,13,149,1937
Now, list down the factors of 6501
:1,3,11,33,197,591,2167,6501
Greatest Common Factor
We found the factors 1937,6501 . The biggest common factor number is the GCF number.
So the greatest common factor 1937,6501 is 1.
Lets's calculate LCM of 465,741
| 3 | 465, 741 |
| 155, 247 |
∴ So the LCM of the given numbers is 3 x 155 x 247 = 114855
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114855
Therefore, the GCF of Fractions 1937/465,6501/741 is 1/114855
Least Common Multiple of 465,741 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 465,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,741) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(465,741) x common factors =3 x 1 = 3
LCM(465,741) = ( 465 × 741 ) / 3
LCM(465,741) = 344565 / 3
LCM(465,741) = 114855
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FAQs on GCF of Fractions of 1937/465, 6501/741
1. What is the HCF of 1937,6501?
The HCF of 1937,6501 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 1937/465, 6501/741?
Answer: GCF of Numerators as per given numbers 1937/465, 6501/741 is
GCF of Numerators i.e. for 1937,6501 is 1
LCM of denominators i.e. for 465,741 is 114855.
Thus, GCF of Fractions is 1/114855.Finally, GCF of Fractions for 1937/465, 6501/741 is 1/114855.