GCF of 937/873, 618/135
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 937/873, 618/135 i.e 1/13095 easily. The following is the detailed procedure to determine the greatest common factor of fractions 937/873, 618/135.
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 937/873,618/135?
Given fractions are 937/873,618/135
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 937/873,618/135, numerators are 937,618
Denominators are 873,135
The GCF of 937,618 is 1 .
LCM of 873,135 is 13095.
The greatest common factor of 937/873,618/135 = [GCF of 937,618]/[LCM of 873,135]= 1/13095
Therefore, the GCF of 937/873,618/135 is 1/13095.
To find the highest common factor of 937,618, 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 618 are 1, 2, 3, 6, 103, 206, 309, 618
The HCF of 937,618 is 1.
Lets's calculate GCF of 937,618
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 937,618 By Matching Biggest Common Factor Method
Now, list down the factors of 937
:1,937
Now, list down the factors of 618
:1,2,3,6,103,206,309,618
Greatest Common Factor
We found the factors 937,618 . The biggest common factor number is the GCF number.
So the greatest common factor 937,618 is 1.
Lets's calculate LCM of 873,135
| 3 | 873, 135 |
| 3 | 291, 45 |
| 97, 15 |
∴ So the LCM of the given numbers is 3 x 3 x 97 x 15 = 13095
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13095
Therefore, the GCF of Fractions 937/873,618/135 is 1/13095
Least Common Multiple of 873,135 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 873,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,135) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(873,135) x common factors =9 x 1 = 9
LCM(873,135) = ( 873 × 135 ) / 9
LCM(873,135) = 117855 / 9
LCM(873,135) = 13095
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FAQs on GCF of Fractions of 937/873, 618/135
1. What is the HCF of 937,618?
The HCF of 937,618 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 937/873, 618/135?
Answer: GCF of Numerators as per given numbers 937/873, 618/135 is
GCF of Numerators i.e. for 937,618 is 1
LCM of denominators i.e. for 873,135 is 13095.
Thus, GCF of Fractions is 1/13095.Finally, GCF of Fractions for 937/873, 618/135 is 1/13095.