GCF of 770/330, 605/552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 770/330, 605/552 i.e 55/30360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 770/330, 605/552.
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 770/330,605/552?
Given fractions are 770/330,605/552
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 770/330,605/552, numerators are 770,605
Denominators are 330,552
The GCF of 770,605 is 55 .
LCM of 330,552 is 30360.
The greatest common factor of 770/330,605/552 = [GCF of 770,605]/[LCM of 330,552]= 55/30360
Therefore, the GCF of 770/330,605/552 is 55/30360.
To find the highest common factor of 770,605, we have to find the factors of both numbers and list the highest common factor.
The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
The factors of 605 are 1, 5, 11, 55, 121, 605
The HCF of 770,605 is 55.
Lets's calculate GCF of 770,605
| 5 | 770, 605 |
| 11 | 154, 121 |
| 14, 11 |
∴ So the GCF of the given numbers is 5 x 11 = 55
Greatest Common Factor of 770,605 By Matching Biggest Common Factor Method
Now, list down the factors of 770
:1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Now, list down the factors of 605
:1,5,11,55,121,605
Greatest Common Factor
We found the factors 770,605 . The biggest common factor number is the GCF number.
So the greatest common factor 770,605 is 55.
Lets's calculate LCM of 330,552
| 2 | 330, 552 |
| 3 | 165, 276 |
| 55, 92 |
∴ So the LCM of the given numbers is 2 x 3 x 55 x 92 = 30360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/30360
Therefore, the GCF of Fractions 770/330,605/552 is 55/30360
Least Common Multiple of 330,552 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 330,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,552) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(330,552) x common factors =6 x 1 = 6
LCM(330,552) = ( 330 × 552 ) / 6
LCM(330,552) = 182160 / 6
LCM(330,552) = 30360
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FAQs on GCF of Fractions of 770/330, 605/552
1. What is the HCF of 770,605?
The HCF of 770,605 is 55
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 770/330, 605/552?
Answer: GCF of Numerators as per given numbers 770/330, 605/552 is
GCF of Numerators i.e. for 770,605 is 55
LCM of denominators i.e. for 330,552 is 30360.
Thus, GCF of Fractions is 55/30360.Finally, GCF of Fractions for 770/330, 605/552 is 55/30360.