GCF of 2/23, 39/72, 94/295, 269/549
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2/23, 39/72, 94/295, 269/549 i.e 1/29799720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2/23, 39/72, 94/295, 269/549.
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 2/23,39/72,94/295,269/549?
Given fractions are 2/23,39/72,94/295,269/549
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 2/23,39/72,94/295,269/549, numerators are 2,39,94,269
Denominators are 23,72,295,549
The GCF of 2,39,94,269 is 1 .
LCM of 23,72,295,549 is 29799720.
The greatest common factor of 2/23,39/72,94/295,269/549 = [GCF of 2,39,94,269]/[LCM of 23,72,295,549]= 1/29799720
Therefore, the GCF of 2/23,39/72,94/295,269/549 is 1/29799720.
To find the highest common factor of 2,39,94,269, we have to find the factors of both numbers and list the highest common factor.
The factors of 2 are 1, 2
The factors of 39 are 1, 3, 13, 39
The factors of 94 are 1, 2, 47, 94
The factors of 269 are 1, 269
The HCF of 2,39,94,269 is 1.
Lets's calculate GCF of 2,39,94,269
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2,39,94,269 By Matching Biggest Common Factor Method
Now, list down the factors of 2
:1,2
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 269
:1,269
Greatest Common Factor
We found the factors 2,39,94,269 . The biggest common factor number is the GCF number.
So the greatest common factor 2,39,94,269 is 1.
Lets's calculate LCM of 23,72,295,549
| 3 | 23, 72, 295, 549 |
| 3 | 23, 24, 295, 183 |
| 23, 8, 295, 61 |
∴ So the LCM of the given numbers is 3 x 3 x 23 x 8 x 295 x 61 = 29799720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29799720
Therefore, the GCF of Fractions 2/23,39/72,94/295,269/549 is 1/29799720
Least Common Multiple of 23,72,295,549 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 23,72,295,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,72,295,549) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(23,72,295,549) x common factors =1 x 9 = 9
LCM(23,72,295,549) = ( 23 × 72 × 295 × 549 ) / 9
LCM(23,72,295,549) = 268197480 / 9
LCM(23,72,295,549) = 29799720
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2/23, 39/72, 94/295, 269/549
1. What is the HCF of 2,39,94,269?
The HCF of 2,39,94,269 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 2/23, 39/72, 94/295, 269/549?
Answer: GCF of Numerators as per given numbers 2/23, 39/72, 94/295, 269/549 is
GCF of Numerators i.e. for 2,39,94,269 is 1
LCM of denominators i.e. for 23,72,295,549 is 29799720.
Thus, GCF of Fractions is 1/29799720.Finally, GCF of Fractions for 2/23, 39/72, 94/295, 269/549 is 1/29799720.