GCF of 1145/496, 7675/3453
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1145/496, 7675/3453 i.e 5/1712688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1145/496, 7675/3453.
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 1145/496,7675/3453?
Given fractions are 1145/496,7675/3453
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 1145/496,7675/3453, numerators are 1145,7675
Denominators are 496,3453
The GCF of 1145,7675 is 5 .
LCM of 496,3453 is 1712688.
The greatest common factor of 1145/496,7675/3453 = [GCF of 1145,7675]/[LCM of 496,3453]= 5/1712688
Therefore, the GCF of 1145/496,7675/3453 is 5/1712688.
To find the highest common factor of 1145,7675, we have to find the factors of both numbers and list the highest common factor.
The factors of 1145 are 1, 5, 229, 1145
The factors of 7675 are 1, 5, 25, 307, 1535, 7675
The HCF of 1145,7675 is 5.
Lets's calculate GCF of 1145,7675
| 5 | 1145, 7675 |
| 229, 1535 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1145,7675 By Matching Biggest Common Factor Method
Now, list down the factors of 1145
:1,5,229,1145
Now, list down the factors of 7675
:1,5,25,307,1535,7675
Greatest Common Factor
We found the factors 1145,7675 . The biggest common factor number is the GCF number.
So the greatest common factor 1145,7675 is 5.
Lets's calculate LCM of 496,3453
Given numbers has no common factors except 1. So, there LCM is their product i.e 1712688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1712688
Therefore, the GCF of Fractions 1145/496,7675/3453 is 5/1712688
Least Common Multiple of 496,3453 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 496,3453 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,3453) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(496,3453) x common factors =1 x 1 = 1
LCM(496,3453) = ( 496 × 3453 ) / 1
LCM(496,3453) = 1712688 / 1
LCM(496,3453) = 1712688
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1145/496, 7675/3453
1. What is the HCF of 1145,7675?
The HCF of 1145,7675 is 5
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 1145/496, 7675/3453?
Answer: GCF of Numerators as per given numbers 1145/496, 7675/3453 is
GCF of Numerators i.e. for 1145,7675 is 5
LCM of denominators i.e. for 496,3453 is 1712688.
Thus, GCF of Fractions is 5/1712688.Finally, GCF of Fractions for 1145/496, 7675/3453 is 5/1712688.