GCF of 932/561, 7474/1635
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 932/561, 7474/1635 i.e 2/305745 easily. The following is the detailed procedure to determine the greatest common factor of fractions 932/561, 7474/1635.
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 932/561,7474/1635?
Given fractions are 932/561,7474/1635
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 932/561,7474/1635, numerators are 932,7474
Denominators are 561,1635
The GCF of 932,7474 is 2 .
LCM of 561,1635 is 305745.
The greatest common factor of 932/561,7474/1635 = [GCF of 932,7474]/[LCM of 561,1635]= 2/305745
Therefore, the GCF of 932/561,7474/1635 is 2/305745.
To find the highest common factor of 932,7474, we have to find the factors of both numbers and list the highest common factor.
The factors of 932 are 1, 2, 4, 233, 466, 932
The factors of 7474 are 1, 2, 37, 74, 101, 202, 3737, 7474
The HCF of 932,7474 is 2.
Lets's calculate GCF of 932,7474
| 2 | 932, 7474 |
| 466, 3737 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 932,7474 By Matching Biggest Common Factor Method
Now, list down the factors of 932
:1,2,4,233,466,932
Now, list down the factors of 7474
:1,2,37,74,101,202,3737,7474
Greatest Common Factor
We found the factors 932,7474 . The biggest common factor number is the GCF number.
So the greatest common factor 932,7474 is 2.
Lets's calculate LCM of 561,1635
| 3 | 561, 1635 |
| 187, 545 |
∴ So the LCM of the given numbers is 3 x 187 x 545 = 305745
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/305745
Therefore, the GCF of Fractions 932/561,7474/1635 is 2/305745
Least Common Multiple of 561,1635 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 561,1635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,1635) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(561,1635) x common factors =3 x 1 = 3
LCM(561,1635) = ( 561 × 1635 ) / 3
LCM(561,1635) = 917235 / 3
LCM(561,1635) = 305745
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 932/561, 7474/1635
1. What is the HCF of 932,7474?
The HCF of 932,7474 is 2
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 932/561, 7474/1635?
Answer: GCF of Numerators as per given numbers 932/561, 7474/1635 is
GCF of Numerators i.e. for 932,7474 is 2
LCM of denominators i.e. for 561,1635 is 305745.
Thus, GCF of Fractions is 2/305745.Finally, GCF of Fractions for 932/561, 7474/1635 is 2/305745.