GCF of 191/218, 252/470
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 191/218, 252/470 i.e 1/51230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 191/218, 252/470.
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 191/218,252/470?
Given fractions are 191/218,252/470
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 191/218,252/470, numerators are 191,252
Denominators are 218,470
The GCF of 191,252 is 1 .
LCM of 218,470 is 51230.
The greatest common factor of 191/218,252/470 = [GCF of 191,252]/[LCM of 218,470]= 1/51230
Therefore, the GCF of 191/218,252/470 is 1/51230.
To find the highest common factor of 191,252, we have to find the factors of both numbers and list the highest common factor.
The factors of 191 are 1, 191
The factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
The HCF of 191,252 is 1.
Lets's calculate GCF of 191,252
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 191,252 By Matching Biggest Common Factor Method
Now, list down the factors of 191
:1,191
Now, list down the factors of 252
:1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Greatest Common Factor
We found the factors 191,252 . The biggest common factor number is the GCF number.
So the greatest common factor 191,252 is 1.
Lets's calculate LCM of 218,470
| 2 | 218, 470 |
| 109, 235 |
∴ So the LCM of the given numbers is 2 x 109 x 235 = 51230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51230
Therefore, the GCF of Fractions 191/218,252/470 is 1/51230
Least Common Multiple of 218,470 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 218,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,470) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(218,470) x common factors =2 x 1 = 2
LCM(218,470) = ( 218 × 470 ) / 2
LCM(218,470) = 102460 / 2
LCM(218,470) = 51230
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FAQs on GCF of Fractions of 191/218, 252/470
1. What is the HCF of 191,252?
The HCF of 191,252 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 191/218, 252/470?
Answer: GCF of Numerators as per given numbers 191/218, 252/470 is
GCF of Numerators i.e. for 191,252 is 1
LCM of denominators i.e. for 218,470 is 51230.
Thus, GCF of Fractions is 1/51230.Finally, GCF of Fractions for 191/218, 252/470 is 1/51230.