GCF of 1925/725, 5742/3665
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1925/725, 5742/3665 i.e 11/531425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1925/725, 5742/3665.
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 1925/725,5742/3665?
Given fractions are 1925/725,5742/3665
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 1925/725,5742/3665, numerators are 1925,5742
Denominators are 725,3665
The GCF of 1925,5742 is 11 .
LCM of 725,3665 is 531425.
The greatest common factor of 1925/725,5742/3665 = [GCF of 1925,5742]/[LCM of 725,3665]= 11/531425
Therefore, the GCF of 1925/725,5742/3665 is 11/531425.
To find the highest common factor of 1925,5742, we have to find the factors of both numbers and list the highest common factor.
The factors of 1925 are 1, 5, 7, 11, 25, 35, 55, 77, 175, 275, 385, 1925
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 1925,5742 is 11.
Lets's calculate GCF of 1925,5742
| 11 | 1925, 5742 |
| 175, 522 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 1925,5742 By Matching Biggest Common Factor Method
Now, list down the factors of 1925
:1,5,7,11,25,35,55,77,175,275,385,1925
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 1925,5742 . The biggest common factor number is the GCF number.
So the greatest common factor 1925,5742 is 11.
Lets's calculate LCM of 725,3665
| 5 | 725, 3665 |
| 145, 733 |
∴ So the LCM of the given numbers is 5 x 145 x 733 = 531425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/531425
Therefore, the GCF of Fractions 1925/725,5742/3665 is 11/531425
Least Common Multiple of 725,3665 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 725,3665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,3665) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(725,3665) x common factors =5 x 1 = 5
LCM(725,3665) = ( 725 × 3665 ) / 5
LCM(725,3665) = 2657125 / 5
LCM(725,3665) = 531425
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FAQs on GCF of Fractions of 1925/725, 5742/3665
1. What is the HCF of 1925,5742?
The HCF of 1925,5742 is 11
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 1925/725, 5742/3665?
Answer: GCF of Numerators as per given numbers 1925/725, 5742/3665 is
GCF of Numerators i.e. for 1925,5742 is 11
LCM of denominators i.e. for 725,3665 is 531425.
Thus, GCF of Fractions is 11/531425.Finally, GCF of Fractions for 1925/725, 5742/3665 is 11/531425.