GCF of 4531/218, 3167/1572
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4531/218, 3167/1572 i.e 1/171348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4531/218, 3167/1572.
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 4531/218,3167/1572?
Given fractions are 4531/218,3167/1572
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 4531/218,3167/1572, numerators are 4531,3167
Denominators are 218,1572
The GCF of 4531,3167 is 1 .
LCM of 218,1572 is 171348.
The greatest common factor of 4531/218,3167/1572 = [GCF of 4531,3167]/[LCM of 218,1572]= 1/171348
Therefore, the GCF of 4531/218,3167/1572 is 1/171348.
To find the highest common factor of 4531,3167, we have to find the factors of both numbers and list the highest common factor.
The factors of 4531 are 1, 23, 197, 4531
The factors of 3167 are 1, 3167
The HCF of 4531,3167 is 1.
Lets's calculate GCF of 4531,3167
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4531,3167 By Matching Biggest Common Factor Method
Now, list down the factors of 4531
:1,23,197,4531
Now, list down the factors of 3167
:1,3167
Greatest Common Factor
We found the factors 4531,3167 . The biggest common factor number is the GCF number.
So the greatest common factor 4531,3167 is 1.
Lets's calculate LCM of 218,1572
| 2 | 218, 1572 |
| 109, 786 |
∴ So the LCM of the given numbers is 2 x 109 x 786 = 171348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171348
Therefore, the GCF of Fractions 4531/218,3167/1572 is 1/171348
Least Common Multiple of 218,1572 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 218,1572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,1572) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(218,1572) x common factors =2 x 1 = 2
LCM(218,1572) = ( 218 × 1572 ) / 2
LCM(218,1572) = 342696 / 2
LCM(218,1572) = 171348
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FAQs on GCF of Fractions of 4531/218, 3167/1572
1. What is the HCF of 4531,3167?
The HCF of 4531,3167 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 4531/218, 3167/1572?
Answer: GCF of Numerators as per given numbers 4531/218, 3167/1572 is
GCF of Numerators i.e. for 4531,3167 is 1
LCM of denominators i.e. for 218,1572 is 171348.
Thus, GCF of Fractions is 1/171348.Finally, GCF of Fractions for 4531/218, 3167/1572 is 1/171348.