GCF of 1921/795, 1713/1425
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1921/795, 1713/1425 i.e 1/75525 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1921/795, 1713/1425.
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 1921/795,1713/1425?
Given fractions are 1921/795,1713/1425
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 1921/795,1713/1425, numerators are 1921,1713
Denominators are 795,1425
The GCF of 1921,1713 is 1 .
LCM of 795,1425 is 75525.
The greatest common factor of 1921/795,1713/1425 = [GCF of 1921,1713]/[LCM of 795,1425]= 1/75525
Therefore, the GCF of 1921/795,1713/1425 is 1/75525.
To find the highest common factor of 1921,1713, we have to find the factors of both numbers and list the highest common factor.
The factors of 1921 are 1, 17, 113, 1921
The factors of 1713 are 1, 3, 571, 1713
The HCF of 1921,1713 is 1.
Lets's calculate GCF of 1921,1713
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1921,1713 By Matching Biggest Common Factor Method
Now, list down the factors of 1921
:1,17,113,1921
Now, list down the factors of 1713
:1,3,571,1713
Greatest Common Factor
We found the factors 1921,1713 . The biggest common factor number is the GCF number.
So the greatest common factor 1921,1713 is 1.
Lets's calculate LCM of 795,1425
| 3 | 795, 1425 |
| 5 | 265, 475 |
| 53, 95 |
∴ So the LCM of the given numbers is 3 x 5 x 53 x 95 = 75525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75525
Therefore, the GCF of Fractions 1921/795,1713/1425 is 1/75525
Least Common Multiple of 795,1425 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 795,1425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,1425) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(795,1425) x common factors =15 x 1 = 15
LCM(795,1425) = ( 795 × 1425 ) / 15
LCM(795,1425) = 1132875 / 15
LCM(795,1425) = 75525
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FAQs on GCF of Fractions of 1921/795, 1713/1425
1. What is the HCF of 1921,1713?
The HCF of 1921,1713 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 1921/795, 1713/1425?
Answer: GCF of Numerators as per given numbers 1921/795, 1713/1425 is
GCF of Numerators i.e. for 1921,1713 is 1
LCM of denominators i.e. for 795,1425 is 75525.
Thus, GCF of Fractions is 1/75525.Finally, GCF of Fractions for 1921/795, 1713/1425 is 1/75525.