GCF of 3485/330, 7700/4636
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3485/330, 7700/4636 i.e 5/764940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3485/330, 7700/4636.
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 3485/330,7700/4636?
Given fractions are 3485/330,7700/4636
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 3485/330,7700/4636, numerators are 3485,7700
Denominators are 330,4636
The GCF of 3485,7700 is 5 .
LCM of 330,4636 is 764940.
The greatest common factor of 3485/330,7700/4636 = [GCF of 3485,7700]/[LCM of 330,4636]= 5/764940
Therefore, the GCF of 3485/330,7700/4636 is 5/764940.
To find the highest common factor of 3485,7700, we have to find the factors of both numbers and list the highest common factor.
The factors of 3485 are 1, 5, 17, 41, 85, 205, 697, 3485
The factors of 7700 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 25, 28, 35, 44, 50, 55, 70, 77, 100, 110, 140, 154, 175, 220, 275, 308, 350, 385, 550, 700, 770, 1100, 1540, 1925, 3850, 7700
The HCF of 3485,7700 is 5.
Lets's calculate GCF of 3485,7700
| 5 | 3485, 7700 |
| 697, 1540 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3485,7700 By Matching Biggest Common Factor Method
Now, list down the factors of 3485
:1,5,17,41,85,205,697,3485
Now, list down the factors of 7700
:1,2,4,5,7,10,11,14,20,22,25,28,35,44,50,55,70,77,100,110,140,154,175,220,275,308,350,385,550,700,770,1100,1540,1925,3850,7700
Greatest Common Factor
We found the factors 3485,7700 . The biggest common factor number is the GCF number.
So the greatest common factor 3485,7700 is 5.
Lets's calculate LCM of 330,4636
| 2 | 330, 4636 |
| 165, 2318 |
∴ So the LCM of the given numbers is 2 x 165 x 2318 = 764940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/764940
Therefore, the GCF of Fractions 3485/330,7700/4636 is 5/764940
Least Common Multiple of 330,4636 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 330,4636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,4636) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(330,4636) x common factors =2 x 1 = 2
LCM(330,4636) = ( 330 × 4636 ) / 2
LCM(330,4636) = 1529880 / 2
LCM(330,4636) = 764940
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FAQs on GCF of Fractions of 3485/330, 7700/4636
1. What is the HCF of 3485,7700?
The HCF of 3485,7700 is 5
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 3485/330, 7700/4636?
Answer: GCF of Numerators as per given numbers 3485/330, 7700/4636 is
GCF of Numerators i.e. for 3485,7700 is 5
LCM of denominators i.e. for 330,4636 is 764940.
Thus, GCF of Fractions is 5/764940.Finally, GCF of Fractions for 3485/330, 7700/4636 is 5/764940.