GCF of 3547/596, 9957/762
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3547/596, 9957/762 i.e 1/227076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3547/596, 9957/762.
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 3547/596,9957/762?
Given fractions are 3547/596,9957/762
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 3547/596,9957/762, numerators are 3547,9957
Denominators are 596,762
The GCF of 3547,9957 is 1 .
LCM of 596,762 is 227076.
The greatest common factor of 3547/596,9957/762 = [GCF of 3547,9957]/[LCM of 596,762]= 1/227076
Therefore, the GCF of 3547/596,9957/762 is 1/227076.
To find the highest common factor of 3547,9957, we have to find the factors of both numbers and list the highest common factor.
The factors of 3547 are 1, 3547
The factors of 9957 are 1, 3, 3319, 9957
The HCF of 3547,9957 is 1.
Lets's calculate GCF of 3547,9957
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3547,9957 By Matching Biggest Common Factor Method
Now, list down the factors of 3547
:1,3547
Now, list down the factors of 9957
:1,3,3319,9957
Greatest Common Factor
We found the factors 3547,9957 . The biggest common factor number is the GCF number.
So the greatest common factor 3547,9957 is 1.
Lets's calculate LCM of 596,762
| 2 | 596, 762 |
| 298, 381 |
∴ So the LCM of the given numbers is 2 x 298 x 381 = 227076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227076
Therefore, the GCF of Fractions 3547/596,9957/762 is 1/227076
Least Common Multiple of 596,762 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 596,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,762) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(596,762) x common factors =2 x 1 = 2
LCM(596,762) = ( 596 × 762 ) / 2
LCM(596,762) = 454152 / 2
LCM(596,762) = 227076
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3547/596, 9957/762
1. What is the HCF of 3547,9957?
The HCF of 3547,9957 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 3547/596, 9957/762?
Answer: GCF of Numerators as per given numbers 3547/596, 9957/762 is
GCF of Numerators i.e. for 3547,9957 is 1
LCM of denominators i.e. for 596,762 is 227076.
Thus, GCF of Fractions is 1/227076.Finally, GCF of Fractions for 3547/596, 9957/762 is 1/227076.