GCF of 725/46, 783/6890
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 725/46, 783/6890 i.e 29/158470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 725/46, 783/6890.
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 725/46,783/6890?
Given fractions are 725/46,783/6890
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 725/46,783/6890, numerators are 725,783
Denominators are 46,6890
The GCF of 725,783 is 29 .
LCM of 46,6890 is 158470.
The greatest common factor of 725/46,783/6890 = [GCF of 725,783]/[LCM of 46,6890]= 29/158470
Therefore, the GCF of 725/46,783/6890 is 29/158470.
To find the highest common factor of 725,783, we have to find the factors of both numbers and list the highest common factor.
The factors of 725 are 1, 5, 25, 29, 145, 725
The factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783
The HCF of 725,783 is 29.
Lets's calculate GCF of 725,783
| 29 | 725, 783 |
| 25, 27 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 725,783 By Matching Biggest Common Factor Method
Now, list down the factors of 725
:1,5,25,29,145,725
Now, list down the factors of 783
:1,3,9,27,29,87,261,783
Greatest Common Factor
We found the factors 725,783 . The biggest common factor number is the GCF number.
So the greatest common factor 725,783 is 29.
Lets's calculate LCM of 46,6890
| 2 | 46, 6890 |
| 23, 3445 |
∴ So the LCM of the given numbers is 2 x 23 x 3445 = 158470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/158470
Therefore, the GCF of Fractions 725/46,783/6890 is 29/158470
Least Common Multiple of 46,6890 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 46,6890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,6890) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(46,6890) x common factors =2 x 1 = 2
LCM(46,6890) = ( 46 × 6890 ) / 2
LCM(46,6890) = 316940 / 2
LCM(46,6890) = 158470
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FAQs on GCF of Fractions of 725/46, 783/6890
1. What is the HCF of 725,783?
The HCF of 725,783 is 29
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 725/46, 783/6890?
Answer: GCF of Numerators as per given numbers 725/46, 783/6890 is
GCF of Numerators i.e. for 725,783 is 29
LCM of denominators i.e. for 46,6890 is 158470.
Thus, GCF of Fractions is 29/158470.Finally, GCF of Fractions for 725/46, 783/6890 is 29/158470.