GCF of 1763/764, 3457/432
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1763/764, 3457/432 i.e 1/82512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1763/764, 3457/432.
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 1763/764,3457/432?
Given fractions are 1763/764,3457/432
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 1763/764,3457/432, numerators are 1763,3457
Denominators are 764,432
The GCF of 1763,3457 is 1 .
LCM of 764,432 is 82512.
The greatest common factor of 1763/764,3457/432 = [GCF of 1763,3457]/[LCM of 764,432]= 1/82512
Therefore, the GCF of 1763/764,3457/432 is 1/82512.
To find the highest common factor of 1763,3457, we have to find the factors of both numbers and list the highest common factor.
The factors of 1763 are 1, 41, 43, 1763
The factors of 3457 are 1, 3457
The HCF of 1763,3457 is 1.
Lets's calculate GCF of 1763,3457
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1763,3457 By Matching Biggest Common Factor Method
Now, list down the factors of 1763
:1,41,43,1763
Now, list down the factors of 3457
:1,3457
Greatest Common Factor
We found the factors 1763,3457 . The biggest common factor number is the GCF number.
So the greatest common factor 1763,3457 is 1.
Lets's calculate LCM of 764,432
| 2 | 764, 432 |
| 2 | 382, 216 |
| 191, 108 |
∴ So the LCM of the given numbers is 2 x 2 x 191 x 108 = 82512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82512
Therefore, the GCF of Fractions 1763/764,3457/432 is 1/82512
Least Common Multiple of 764,432 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 764,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,432) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(764,432) x common factors =4 x 1 = 4
LCM(764,432) = ( 764 × 432 ) / 4
LCM(764,432) = 330048 / 4
LCM(764,432) = 82512
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FAQs on GCF of Fractions of 1763/764, 3457/432
1. What is the HCF of 1763,3457?
The HCF of 1763,3457 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 1763/764, 3457/432?
Answer: GCF of Numerators as per given numbers 1763/764, 3457/432 is
GCF of Numerators i.e. for 1763,3457 is 1
LCM of denominators i.e. for 764,432 is 82512.
Thus, GCF of Fractions is 1/82512.Finally, GCF of Fractions for 1763/764, 3457/432 is 1/82512.