GCF of 937/168, 286/360, 257/220
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 937/168, 286/360, 257/220 i.e 1/27720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 937/168, 286/360, 257/220.
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 937/168,286/360,257/220?
Given fractions are 937/168,286/360,257/220
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 937/168,286/360,257/220, numerators are 937,286,257
Denominators are 168,360,220
The GCF of 937,286,257 is 1 .
LCM of 168,360,220 is 27720.
The greatest common factor of 937/168,286/360,257/220 = [GCF of 937,286,257]/[LCM of 168,360,220]= 1/27720
Therefore, the GCF of 937/168,286/360,257/220 is 1/27720.
To find the highest common factor of 937,286,257, 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 286 are 1, 2, 11, 13, 22, 26, 143, 286
The factors of 257 are 1, 257
The HCF of 937,286,257 is 1.
Lets's calculate GCF of 937,286,257
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 937,286,257 By Matching Biggest Common Factor Method
Now, list down the factors of 937
:1,937
Now, list down the factors of 286
:1,2,11,13,22,26,143,286
Now, list down the factors of 257
:1,257
Greatest Common Factor
We found the factors 937,286,257 . The biggest common factor number is the GCF number.
So the greatest common factor 937,286,257 is 1.
Lets's calculate LCM of 168,360,220
| 2 | 168, 360, 220 |
| 2 | 84, 180, 110 |
| 2 | 42, 90, 55 |
| 3 | 21, 45, 55 |
| 5 | 7, 15, 55 |
| 7, 3, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 7 x 3 x 11 = 27720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27720
Therefore, the GCF of Fractions 937/168,286/360,257/220 is 1/27720
Least Common Multiple of 168,360,220 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 168,360,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,360,220) = 4
common factors(in case of two or more numbers have common factors) = 120
GCF(168,360,220) x common factors =4 x 120 = 480
LCM(168,360,220) = ( 168 × 360 × 220 ) / 480
LCM(168,360,220) = 13305600 / 480
LCM(168,360,220) = 27720
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FAQs on GCF of Fractions of 937/168, 286/360, 257/220
1. What is the HCF of 937,286,257?
The HCF of 937,286,257 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 937/168, 286/360, 257/220?
Answer: GCF of Numerators as per given numbers 937/168, 286/360, 257/220 is
GCF of Numerators i.e. for 937,286,257 is 1
LCM of denominators i.e. for 168,360,220 is 27720.
Thus, GCF of Fractions is 1/27720.Finally, GCF of Fractions for 937/168, 286/360, 257/220 is 1/27720.