GCF of 1770/720, 7905/3412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1770/720, 7905/3412 i.e 15/614160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1770/720, 7905/3412.
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 1770/720,7905/3412?
Given fractions are 1770/720,7905/3412
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 1770/720,7905/3412, numerators are 1770,7905
Denominators are 720,3412
The GCF of 1770,7905 is 15 .
LCM of 720,3412 is 614160.
The greatest common factor of 1770/720,7905/3412 = [GCF of 1770,7905]/[LCM of 720,3412]= 15/614160
Therefore, the GCF of 1770/720,7905/3412 is 15/614160.
To find the highest common factor of 1770,7905, we have to find the factors of both numbers and list the highest common factor.
The factors of 1770 are 1, 2, 3, 5, 6, 10, 15, 30, 59, 118, 177, 295, 354, 590, 885, 1770
The factors of 7905 are 1, 3, 5, 15, 17, 31, 51, 85, 93, 155, 255, 465, 527, 1581, 2635, 7905
The HCF of 1770,7905 is 15.
Lets's calculate GCF of 1770,7905
| 3 | 1770, 7905 |
| 5 | 590, 2635 |
| 118, 527 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 1770,7905 By Matching Biggest Common Factor Method
Now, list down the factors of 1770
:1,2,3,5,6,10,15,30,59,118,177,295,354,590,885,1770
Now, list down the factors of 7905
:1,3,5,15,17,31,51,85,93,155,255,465,527,1581,2635,7905
Greatest Common Factor
We found the factors 1770,7905 . The biggest common factor number is the GCF number.
So the greatest common factor 1770,7905 is 15.
Lets's calculate LCM of 720,3412
| 2 | 720, 3412 |
| 2 | 360, 1706 |
| 180, 853 |
∴ So the LCM of the given numbers is 2 x 2 x 180 x 853 = 614160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/614160
Therefore, the GCF of Fractions 1770/720,7905/3412 is 15/614160
Least Common Multiple of 720,3412 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 720,3412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,3412) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(720,3412) x common factors =4 x 1 = 4
LCM(720,3412) = ( 720 × 3412 ) / 4
LCM(720,3412) = 2456640 / 4
LCM(720,3412) = 614160
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FAQs on GCF of Fractions of 1770/720, 7905/3412
1. What is the HCF of 1770,7905?
The HCF of 1770,7905 is 15
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 1770/720, 7905/3412?
Answer: GCF of Numerators as per given numbers 1770/720, 7905/3412 is
GCF of Numerators i.e. for 1770,7905 is 15
LCM of denominators i.e. for 720,3412 is 614160.
Thus, GCF of Fractions is 15/614160.Finally, GCF of Fractions for 1770/720, 7905/3412 is 15/614160.