GCF of 925/660, 5742/396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 925/660, 5742/396 i.e 1/1980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 925/660, 5742/396.
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 925/660,5742/396?
Given fractions are 925/660,5742/396
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 925/660,5742/396, numerators are 925,5742
Denominators are 660,396
The GCF of 925,5742 is 1 .
LCM of 660,396 is 1980.
The greatest common factor of 925/660,5742/396 = [GCF of 925,5742]/[LCM of 660,396]= 1/1980
Therefore, the GCF of 925/660,5742/396 is 1/1980.
To find the highest common factor of 925,5742, we have to find the factors of both numbers and list the highest common factor.
The factors of 925 are 1, 5, 25, 37, 185, 925
The factors of 5742 are 1, 2, 3, 6, 9, 11, 18, 22, 29, 33, 58, 66, 87, 99, 174, 198, 261, 319, 522, 638, 957, 1914, 2871, 5742
The HCF of 925,5742 is 1.
Lets's calculate GCF of 925,5742
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 925,5742 By Matching Biggest Common Factor Method
Now, list down the factors of 925
:1,5,25,37,185,925
Now, list down the factors of 5742
:1,2,3,6,9,11,18,22,29,33,58,66,87,99,174,198,261,319,522,638,957,1914,2871,5742
Greatest Common Factor
We found the factors 925,5742 . The biggest common factor number is the GCF number.
So the greatest common factor 925,5742 is 1.
Lets's calculate LCM of 660,396
| 2 | 660, 396 |
| 2 | 330, 198 |
| 3 | 165, 99 |
| 11 | 55, 33 |
| 5, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 5 x 3 = 1980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1980
Therefore, the GCF of Fractions 925/660,5742/396 is 1/1980
Least Common Multiple of 660,396 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 660,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(660,396) = 132
common factors(in case of two or more numbers have common factors) = 1
GCF(660,396) x common factors =132 x 1 = 132
LCM(660,396) = ( 660 × 396 ) / 132
LCM(660,396) = 261360 / 132
LCM(660,396) = 1980
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FAQs on GCF of Fractions of 925/660, 5742/396
1. What is the HCF of 925,5742?
The HCF of 925,5742 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 925/660, 5742/396?
Answer: GCF of Numerators as per given numbers 925/660, 5742/396 is
GCF of Numerators i.e. for 925,5742 is 1
LCM of denominators i.e. for 660,396 is 1980.
Thus, GCF of Fractions is 1/1980.Finally, GCF of Fractions for 925/660, 5742/396 is 1/1980.