GCF of 294/86, 425/72, 284/20
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 294/86, 425/72, 284/20 i.e 1/15480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 294/86, 425/72, 284/20.
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 294/86,425/72,284/20?
Given fractions are 294/86,425/72,284/20
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 294/86,425/72,284/20, numerators are 294,425,284
Denominators are 86,72,20
The GCF of 294,425,284 is 1 .
LCM of 86,72,20 is 15480.
The greatest common factor of 294/86,425/72,284/20 = [GCF of 294,425,284]/[LCM of 86,72,20]= 1/15480
Therefore, the GCF of 294/86,425/72,284/20 is 1/15480.
To find the highest common factor of 294,425,284, we have to find the factors of both numbers and list the highest common factor.
The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
The factors of 425 are 1, 5, 17, 25, 85, 425
The factors of 284 are 1, 2, 4, 71, 142, 284
The HCF of 294,425,284 is 1.
Lets's calculate GCF of 294,425,284
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 294,425,284 By Matching Biggest Common Factor Method
Now, list down the factors of 294
:1,2,3,6,7,14,21,42,49,98,147,294
Now, list down the factors of 425
:1,5,17,25,85,425
Now, list down the factors of 284
:1,2,4,71,142,284
Greatest Common Factor
We found the factors 294,425,284 . The biggest common factor number is the GCF number.
So the greatest common factor 294,425,284 is 1.
Lets's calculate LCM of 86,72,20
| 2 | 86, 72, 20 |
| 2 | 43, 36, 10 |
| 43, 18, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 18 x 5 = 15480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15480
Therefore, the GCF of Fractions 294/86,425/72,284/20 is 1/15480
Least Common Multiple of 86,72,20 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 86,72,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,72,20) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(86,72,20) x common factors =2 x 4 = 8
LCM(86,72,20) = ( 86 × 72 × 20 ) / 8
LCM(86,72,20) = 123840 / 8
LCM(86,72,20) = 15480
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FAQs on GCF of Fractions of 294/86, 425/72, 284/20
1. What is the HCF of 294,425,284?
The HCF of 294,425,284 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 294/86, 425/72, 284/20?
Answer: GCF of Numerators as per given numbers 294/86, 425/72, 284/20 is
GCF of Numerators i.e. for 294,425,284 is 1
LCM of denominators i.e. for 86,72,20 is 15480.
Thus, GCF of Fractions is 1/15480.Finally, GCF of Fractions for 294/86, 425/72, 284/20 is 1/15480.