GCF of 6095/360, 1242/1454
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6095/360, 1242/1454 i.e 23/261720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6095/360, 1242/1454.
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 6095/360,1242/1454?
Given fractions are 6095/360,1242/1454
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 6095/360,1242/1454, numerators are 6095,1242
Denominators are 360,1454
The GCF of 6095,1242 is 23 .
LCM of 360,1454 is 261720.
The greatest common factor of 6095/360,1242/1454 = [GCF of 6095,1242]/[LCM of 360,1454]= 23/261720
Therefore, the GCF of 6095/360,1242/1454 is 23/261720.
To find the highest common factor of 6095,1242, we have to find the factors of both numbers and list the highest common factor.
The factors of 6095 are 1, 5, 23, 53, 115, 265, 1219, 6095
The factors of 1242 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621, 1242
The HCF of 6095,1242 is 23.
Lets's calculate GCF of 6095,1242
| 23 | 6095, 1242 |
| 265, 54 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 6095,1242 By Matching Biggest Common Factor Method
Now, list down the factors of 6095
:1,5,23,53,115,265,1219,6095
Now, list down the factors of 1242
:1,2,3,6,9,18,23,27,46,54,69,138,207,414,621,1242
Greatest Common Factor
We found the factors 6095,1242 . The biggest common factor number is the GCF number.
So the greatest common factor 6095,1242 is 23.
Lets's calculate LCM of 360,1454
| 2 | 360, 1454 |
| 180, 727 |
∴ So the LCM of the given numbers is 2 x 180 x 727 = 261720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/261720
Therefore, the GCF of Fractions 6095/360,1242/1454 is 23/261720
Least Common Multiple of 360,1454 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 360,1454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,1454) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(360,1454) x common factors =2 x 1 = 2
LCM(360,1454) = ( 360 × 1454 ) / 2
LCM(360,1454) = 523440 / 2
LCM(360,1454) = 261720
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FAQs on GCF of Fractions of 6095/360, 1242/1454
1. What is the HCF of 6095,1242?
The HCF of 6095,1242 is 23
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 6095/360, 1242/1454?
Answer: GCF of Numerators as per given numbers 6095/360, 1242/1454 is
GCF of Numerators i.e. for 6095,1242 is 23
LCM of denominators i.e. for 360,1454 is 261720.
Thus, GCF of Fractions is 23/261720.Finally, GCF of Fractions for 6095/360, 1242/1454 is 23/261720.