GCF of 25/95, 705/78, 231/585
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 25/95, 705/78, 231/585 i.e 1/22230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/95, 705/78, 231/585.
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 25/95,705/78,231/585?
Given fractions are 25/95,705/78,231/585
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 25/95,705/78,231/585, numerators are 25,705,231
Denominators are 95,78,585
The GCF of 25,705,231 is 1 .
LCM of 95,78,585 is 22230.
The greatest common factor of 25/95,705/78,231/585 = [GCF of 25,705,231]/[LCM of 95,78,585]= 1/22230
Therefore, the GCF of 25/95,705/78,231/585 is 1/22230.
To find the highest common factor of 25,705,231, we have to find the factors of both numbers and list the highest common factor.
The factors of 25 are 1, 5, 25
The factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705
The factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231
The HCF of 25,705,231 is 1.
Lets's calculate GCF of 25,705,231
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 25,705,231 By Matching Biggest Common Factor Method
Now, list down the factors of 25
:1,5,25
Now, list down the factors of 705
:1,3,5,15,47,141,235,705
Now, list down the factors of 231
:1,3,7,11,21,33,77,231
Greatest Common Factor
We found the factors 25,705,231 . The biggest common factor number is the GCF number.
So the greatest common factor 25,705,231 is 1.
Lets's calculate LCM of 95,78,585
| 3 | 95, 78, 585 |
| 5 | 95, 26, 195 |
| 13 | 19, 26, 39 |
| 19, 2, 3 |
∴ So the LCM of the given numbers is 3 x 5 x 13 x 19 x 2 x 3 = 22230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22230
Therefore, the GCF of Fractions 25/95,705/78,231/585 is 1/22230
Least Common Multiple of 95,78,585 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 95,78,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,78,585) = 1
common factors(in case of two or more numbers have common factors) = 195
GCF(95,78,585) x common factors =1 x 195 = 195
LCM(95,78,585) = ( 95 × 78 × 585 ) / 195
LCM(95,78,585) = 4334850 / 195
LCM(95,78,585) = 22230
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FAQs on GCF of Fractions of 25/95, 705/78, 231/585
1. What is the HCF of 25,705,231?
The HCF of 25,705,231 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 25/95, 705/78, 231/585?
Answer: GCF of Numerators as per given numbers 25/95, 705/78, 231/585 is
GCF of Numerators i.e. for 25,705,231 is 1
LCM of denominators i.e. for 95,78,585 is 22230.
Thus, GCF of Fractions is 1/22230.Finally, GCF of Fractions for 25/95, 705/78, 231/585 is 1/22230.