GCF of 1082/773, 7485/3958
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1082/773, 7485/3958 i.e 1/3059534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1082/773, 7485/3958.
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 1082/773,7485/3958?
Given fractions are 1082/773,7485/3958
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 1082/773,7485/3958, numerators are 1082,7485
Denominators are 773,3958
The GCF of 1082,7485 is 1 .
LCM of 773,3958 is 3059534.
The greatest common factor of 1082/773,7485/3958 = [GCF of 1082,7485]/[LCM of 773,3958]= 1/3059534
Therefore, the GCF of 1082/773,7485/3958 is 1/3059534.
To find the highest common factor of 1082,7485, we have to find the factors of both numbers and list the highest common factor.
The factors of 1082 are 1, 2, 541, 1082
The factors of 7485 are 1, 3, 5, 15, 499, 1497, 2495, 7485
The HCF of 1082,7485 is 1.
Lets's calculate GCF of 1082,7485
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1082,7485 By Matching Biggest Common Factor Method
Now, list down the factors of 1082
:1,2,541,1082
Now, list down the factors of 7485
:1,3,5,15,499,1497,2495,7485
Greatest Common Factor
We found the factors 1082,7485 . The biggest common factor number is the GCF number.
So the greatest common factor 1082,7485 is 1.
Lets's calculate LCM of 773,3958
Given numbers has no common factors except 1. So, there LCM is their product i.e 3059534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3059534
Therefore, the GCF of Fractions 1082/773,7485/3958 is 1/3059534
Least Common Multiple of 773,3958 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 773,3958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(773,3958) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(773,3958) x common factors =1 x 1 = 1
LCM(773,3958) = ( 773 × 3958 ) / 1
LCM(773,3958) = 3059534 / 1
LCM(773,3958) = 3059534
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FAQs on GCF of Fractions of 1082/773, 7485/3958
1. What is the HCF of 1082,7485?
The HCF of 1082,7485 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 1082/773, 7485/3958?
Answer: GCF of Numerators as per given numbers 1082/773, 7485/3958 is
GCF of Numerators i.e. for 1082,7485 is 1
LCM of denominators i.e. for 773,3958 is 3059534.
Thus, GCF of Fractions is 1/3059534.Finally, GCF of Fractions for 1082/773, 7485/3958 is 1/3059534.