GCF of 28/637, 50/912, 390/360
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/637, 50/912, 390/360 i.e 2/8714160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/637, 50/912, 390/360.
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 28/637,50/912,390/360?
Given fractions are 28/637,50/912,390/360
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 28/637,50/912,390/360, numerators are 28,50,390
Denominators are 637,912,360
The GCF of 28,50,390 is 2 .
LCM of 637,912,360 is 8714160.
The greatest common factor of 28/637,50/912,390/360 = [GCF of 28,50,390]/[LCM of 637,912,360]= 2/8714160
Therefore, the GCF of 28/637,50/912,390/360 is 2/8714160.
To find the highest common factor of 28,50,390, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 50 are 1, 2, 5, 10, 25, 50
The factors of 390 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
The HCF of 28,50,390 is 2.
Lets's calculate GCF of 28,50,390
| 2 | 28, 50, 390 |
| 14, 25, 195 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 28,50,390 By Matching Biggest Common Factor Method
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 50
:1,2,5,10,25,50
Now, list down the factors of 390
:1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Greatest Common Factor
We found the factors 28,50,390 . The biggest common factor number is the GCF number.
So the greatest common factor 28,50,390 is 2.
Lets's calculate LCM of 637,912,360
| 2 | 637, 912, 360 |
| 2 | 637, 456, 180 |
| 2 | 637, 228, 90 |
| 3 | 637, 114, 45 |
| 637, 38, 15 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 637 x 38 x 15 = 8714160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8714160
Therefore, the GCF of Fractions 28/637,50/912,390/360 is 2/8714160
Least Common Multiple of 637,912,360 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 637,912,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,912,360) = 1
common factors(in case of two or more numbers have common factors) = 24
GCF(637,912,360) x common factors =1 x 24 = 24
LCM(637,912,360) = ( 637 × 912 × 360 ) / 24
LCM(637,912,360) = 209139840 / 24
LCM(637,912,360) = 8714160
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FAQs on GCF of Fractions of 28/637, 50/912, 390/360
1. What is the HCF of 28,50,390?
The HCF of 28,50,390 is 2
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 28/637, 50/912, 390/360?
Answer: GCF of Numerators as per given numbers 28/637, 50/912, 390/360 is
GCF of Numerators i.e. for 28,50,390 is 2
LCM of denominators i.e. for 637,912,360 is 8714160.
Thus, GCF of Fractions is 2/8714160.Finally, GCF of Fractions for 28/637, 50/912, 390/360 is 2/8714160.