GCF of 28/238, 38/525, 779/861
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/238, 38/525, 779/861 i.e 1/731850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/238, 38/525, 779/861.
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 28/238,38/525,779/861?
Given fractions are 28/238,38/525,779/861
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 28/238,38/525,779/861, numerators are 28,38,779
Denominators are 238,525,861
The GCF of 28,38,779 is 1 .
LCM of 238,525,861 is 731850.
The greatest common factor of 28/238,38/525,779/861 = [GCF of 28,38,779]/[LCM of 238,525,861]= 1/731850
Therefore, the GCF of 28/238,38/525,779/861 is 1/731850.
To find the highest common factor of 28,38,779, 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 38 are 1, 2, 19, 38
The factors of 779 are 1, 19, 41, 779
The HCF of 28,38,779 is 1.
Lets's calculate GCF of 28,38,779
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 28,38,779 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 38
:1,2,19,38
Now, list down the factors of 779
:1,19,41,779
Greatest Common Factor
We found the factors 28,38,779 . The biggest common factor number is the GCF number.
So the greatest common factor 28,38,779 is 1.
Lets's calculate LCM of 238,525,861
| 3 | 238, 525, 861 |
| 7 | 238, 175, 287 |
| 34, 25, 41 |
∴ So the LCM of the given numbers is 3 x 7 x 34 x 25 x 41 = 731850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/731850
Therefore, the GCF of Fractions 28/238,38/525,779/861 is 1/731850
Least Common Multiple of 238,525,861 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 238,525,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,525,861) = 7
common factors(in case of two or more numbers have common factors) = 21
GCF(238,525,861) x common factors =7 x 21 = 147
LCM(238,525,861) = ( 238 × 525 × 861 ) / 147
LCM(238,525,861) = 107581950 / 147
LCM(238,525,861) = 731850
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FAQs on GCF of Fractions of 28/238, 38/525, 779/861
1. What is the HCF of 28,38,779?
The HCF of 28,38,779 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 28/238, 38/525, 779/861?
Answer: GCF of Numerators as per given numbers 28/238, 38/525, 779/861 is
GCF of Numerators i.e. for 28,38,779 is 1
LCM of denominators i.e. for 238,525,861 is 731850.
Thus, GCF of Fractions is 1/731850.Finally, GCF of Fractions for 28/238, 38/525, 779/861 is 1/731850.