GCF of 1631/684, 1567/212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1631/684, 1567/212 i.e 1/36252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1631/684, 1567/212.
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 1631/684,1567/212?
Given fractions are 1631/684,1567/212
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 1631/684,1567/212, numerators are 1631,1567
Denominators are 684,212
The GCF of 1631,1567 is 1 .
LCM of 684,212 is 36252.
The greatest common factor of 1631/684,1567/212 = [GCF of 1631,1567]/[LCM of 684,212]= 1/36252
Therefore, the GCF of 1631/684,1567/212 is 1/36252.
To find the highest common factor of 1631,1567, we have to find the factors of both numbers and list the highest common factor.
The factors of 1631 are 1, 7, 233, 1631
The factors of 1567 are 1, 1567
The HCF of 1631,1567 is 1.
Lets's calculate GCF of 1631,1567
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1631,1567 By Matching Biggest Common Factor Method
Now, list down the factors of 1631
:1,7,233,1631
Now, list down the factors of 1567
:1,1567
Greatest Common Factor
We found the factors 1631,1567 . The biggest common factor number is the GCF number.
So the greatest common factor 1631,1567 is 1.
Lets's calculate LCM of 684,212
| 2 | 684, 212 |
| 2 | 342, 106 |
| 171, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 171 x 53 = 36252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36252
Therefore, the GCF of Fractions 1631/684,1567/212 is 1/36252
Least Common Multiple of 684,212 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 684,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,212) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(684,212) x common factors =4 x 1 = 4
LCM(684,212) = ( 684 × 212 ) / 4
LCM(684,212) = 145008 / 4
LCM(684,212) = 36252
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FAQs on GCF of Fractions of 1631/684, 1567/212
1. What is the HCF of 1631,1567?
The HCF of 1631,1567 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 1631/684, 1567/212?
Answer: GCF of Numerators as per given numbers 1631/684, 1567/212 is
GCF of Numerators i.e. for 1631,1567 is 1
LCM of denominators i.e. for 684,212 is 36252.
Thus, GCF of Fractions is 1/36252.Finally, GCF of Fractions for 1631/684, 1567/212 is 1/36252.