GCF of 547/41, 235/75, 140/42
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 547/41, 235/75, 140/42 i.e 1/43050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 547/41, 235/75, 140/42.
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 547/41,235/75,140/42?
Given fractions are 547/41,235/75,140/42
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 547/41,235/75,140/42, numerators are 547,235,140
Denominators are 41,75,42
The GCF of 547,235,140 is 1 .
LCM of 41,75,42 is 43050.
The greatest common factor of 547/41,235/75,140/42 = [GCF of 547,235,140]/[LCM of 41,75,42]= 1/43050
Therefore, the GCF of 547/41,235/75,140/42 is 1/43050.
To find the highest common factor of 547,235,140, we have to find the factors of both numbers and list the highest common factor.
The factors of 547 are 1, 547
The factors of 235 are 1, 5, 47, 235
The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
The HCF of 547,235,140 is 1.
Lets's calculate GCF of 547,235,140
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 547,235,140 By Matching Biggest Common Factor Method
Now, list down the factors of 547
:1,547
Now, list down the factors of 235
:1,5,47,235
Now, list down the factors of 140
:1,2,4,5,7,10,14,20,28,35,70,140
Greatest Common Factor
We found the factors 547,235,140 . The biggest common factor number is the GCF number.
So the greatest common factor 547,235,140 is 1.
Lets's calculate LCM of 41,75,42
| 3 | 41, 75, 42 |
| 41, 25, 14 |
∴ So the LCM of the given numbers is 3 x 41 x 25 x 14 = 43050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43050
Therefore, the GCF of Fractions 547/41,235/75,140/42 is 1/43050
Least Common Multiple of 41,75,42 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 41,75,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,75,42) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(41,75,42) x common factors =1 x 3 = 3
LCM(41,75,42) = ( 41 × 75 × 42 ) / 3
LCM(41,75,42) = 129150 / 3
LCM(41,75,42) = 43050
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FAQs on GCF of Fractions of 547/41, 235/75, 140/42
1. What is the HCF of 547,235,140?
The HCF of 547,235,140 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 547/41, 235/75, 140/42?
Answer: GCF of Numerators as per given numbers 547/41, 235/75, 140/42 is
GCF of Numerators i.e. for 547,235,140 is 1
LCM of denominators i.e. for 41,75,42 is 43050.
Thus, GCF of Fractions is 1/43050.Finally, GCF of Fractions for 547/41, 235/75, 140/42 is 1/43050.