GCF of 36/535, 56/432, 242/335
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 36/535, 56/432, 242/335 i.e 2/15485040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/535, 56/432, 242/335.
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 36/535,56/432,242/335?
Given fractions are 36/535,56/432,242/335
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 36/535,56/432,242/335, numerators are 36,56,242
Denominators are 535,432,335
The GCF of 36,56,242 is 2 .
LCM of 535,432,335 is 15485040.
The greatest common factor of 36/535,56/432,242/335 = [GCF of 36,56,242]/[LCM of 535,432,335]= 2/15485040
Therefore, the GCF of 36/535,56/432,242/335 is 2/15485040.
To find the highest common factor of 36,56,242, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
The factors of 242 are 1, 2, 11, 22, 121, 242
The HCF of 36,56,242 is 2.
Lets's calculate GCF of 36,56,242
| 2 | 36, 56, 242 |
| 18, 28, 121 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 36,56,242 By Matching Biggest Common Factor Method
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 56
:1,2,4,7,8,14,28,56
Now, list down the factors of 242
:1,2,11,22,121,242
Greatest Common Factor
We found the factors 36,56,242 . The biggest common factor number is the GCF number.
So the greatest common factor 36,56,242 is 2.
Lets's calculate LCM of 535,432,335
| 5 | 535, 432, 335 |
| 107, 432, 67 |
∴ So the LCM of the given numbers is 5 x 107 x 432 x 67 = 15485040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15485040
Therefore, the GCF of Fractions 36/535,56/432,242/335 is 2/15485040
Least Common Multiple of 535,432,335 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 535,432,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(535,432,335) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(535,432,335) x common factors =1 x 5 = 5
LCM(535,432,335) = ( 535 × 432 × 335 ) / 5
LCM(535,432,335) = 77425200 / 5
LCM(535,432,335) = 15485040
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FAQs on GCF of Fractions of 36/535, 56/432, 242/335
1. What is the HCF of 36,56,242?
The HCF of 36,56,242 is 2
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 36/535, 56/432, 242/335?
Answer: GCF of Numerators as per given numbers 36/535, 56/432, 242/335 is
GCF of Numerators i.e. for 36,56,242 is 2
LCM of denominators i.e. for 535,432,335 is 15485040.
Thus, GCF of Fractions is 2/15485040.Finally, GCF of Fractions for 36/535, 56/432, 242/335 is 2/15485040.