GCF of 242/472, 7867/786
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 242/472, 7867/786 i.e 1/185496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 242/472, 7867/786.
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 242/472,7867/786?
Given fractions are 242/472,7867/786
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 242/472,7867/786, numerators are 242,7867
Denominators are 472,786
The GCF of 242,7867 is 1 .
LCM of 472,786 is 185496.
The greatest common factor of 242/472,7867/786 = [GCF of 242,7867]/[LCM of 472,786]= 1/185496
Therefore, the GCF of 242/472,7867/786 is 1/185496.
To find the highest common factor of 242,7867, we have to find the factors of both numbers and list the highest common factor.
The factors of 242 are 1, 2, 11, 22, 121, 242
The factors of 7867 are 1, 7867
The HCF of 242,7867 is 1.
Lets's calculate GCF of 242,7867
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 242,7867 By Matching Biggest Common Factor Method
Now, list down the factors of 242
:1,2,11,22,121,242
Now, list down the factors of 7867
:1,7867
Greatest Common Factor
We found the factors 242,7867 . The biggest common factor number is the GCF number.
So the greatest common factor 242,7867 is 1.
Lets's calculate LCM of 472,786
| 2 | 472, 786 |
| 236, 393 |
∴ So the LCM of the given numbers is 2 x 236 x 393 = 185496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185496
Therefore, the GCF of Fractions 242/472,7867/786 is 1/185496
Least Common Multiple of 472,786 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 472,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,786) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(472,786) x common factors =2 x 1 = 2
LCM(472,786) = ( 472 × 786 ) / 2
LCM(472,786) = 370992 / 2
LCM(472,786) = 185496
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FAQs on GCF of Fractions of 242/472, 7867/786
1. What is the HCF of 242,7867?
The HCF of 242,7867 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 242/472, 7867/786?
Answer: GCF of Numerators as per given numbers 242/472, 7867/786 is
GCF of Numerators i.e. for 242,7867 is 1
LCM of denominators i.e. for 472,786 is 185496.
Thus, GCF of Fractions is 1/185496.Finally, GCF of Fractions for 242/472, 7867/786 is 1/185496.