GCF of 1933/452, 2067/638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1933/452, 2067/638 i.e 1/144188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1933/452, 2067/638.
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 1933/452,2067/638?
Given fractions are 1933/452,2067/638
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 1933/452,2067/638, numerators are 1933,2067
Denominators are 452,638
The GCF of 1933,2067 is 1 .
LCM of 452,638 is 144188.
The greatest common factor of 1933/452,2067/638 = [GCF of 1933,2067]/[LCM of 452,638]= 1/144188
Therefore, the GCF of 1933/452,2067/638 is 1/144188.
To find the highest common factor of 1933,2067, we have to find the factors of both numbers and list the highest common factor.
The factors of 1933 are 1, 1933
The factors of 2067 are 1, 3, 13, 39, 53, 159, 689, 2067
The HCF of 1933,2067 is 1.
Lets's calculate GCF of 1933,2067
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1933,2067 By Matching Biggest Common Factor Method
Now, list down the factors of 1933
:1,1933
Now, list down the factors of 2067
:1,3,13,39,53,159,689,2067
Greatest Common Factor
We found the factors 1933,2067 . The biggest common factor number is the GCF number.
So the greatest common factor 1933,2067 is 1.
Lets's calculate LCM of 452,638
| 2 | 452, 638 |
| 226, 319 |
∴ So the LCM of the given numbers is 2 x 226 x 319 = 144188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144188
Therefore, the GCF of Fractions 1933/452,2067/638 is 1/144188
Least Common Multiple of 452,638 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 452,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,638) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(452,638) x common factors =2 x 1 = 2
LCM(452,638) = ( 452 × 638 ) / 2
LCM(452,638) = 288376 / 2
LCM(452,638) = 144188
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FAQs on GCF of Fractions of 1933/452, 2067/638
1. What is the HCF of 1933,2067?
The HCF of 1933,2067 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 1933/452, 2067/638?
Answer: GCF of Numerators as per given numbers 1933/452, 2067/638 is
GCF of Numerators i.e. for 1933,2067 is 1
LCM of denominators i.e. for 452,638 is 144188.
Thus, GCF of Fractions is 1/144188.Finally, GCF of Fractions for 1933/452, 2067/638 is 1/144188.