GCF of 7618/774, 6160/1710
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7618/774, 6160/1710 i.e 2/73530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7618/774, 6160/1710.
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 7618/774,6160/1710?
Given fractions are 7618/774,6160/1710
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 7618/774,6160/1710, numerators are 7618,6160
Denominators are 774,1710
The GCF of 7618,6160 is 2 .
LCM of 774,1710 is 73530.
The greatest common factor of 7618/774,6160/1710 = [GCF of 7618,6160]/[LCM of 774,1710]= 2/73530
Therefore, the GCF of 7618/774,6160/1710 is 2/73530.
To find the highest common factor of 7618,6160, we have to find the factors of both numbers and list the highest common factor.
The factors of 7618 are 1, 2, 13, 26, 293, 586, 3809, 7618
The factors of 6160 are 1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 80, 88, 110, 112, 140, 154, 176, 220, 280, 308, 385, 440, 560, 616, 770, 880, 1232, 1540, 3080, 6160
The HCF of 7618,6160 is 2.
Lets's calculate GCF of 7618,6160
| 2 | 7618, 6160 |
| 3809, 3080 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7618,6160 By Matching Biggest Common Factor Method
Now, list down the factors of 7618
:1,2,13,26,293,586,3809,7618
Now, list down the factors of 6160
:1,2,4,5,7,8,10,11,14,16,20,22,28,35,40,44,55,56,70,77,80,88,110,112,140,154,176,220,280,308,385,440,560,616,770,880,1232,1540,3080,6160
Greatest Common Factor
We found the factors 7618,6160 . The biggest common factor number is the GCF number.
So the greatest common factor 7618,6160 is 2.
Lets's calculate LCM of 774,1710
| 2 | 774, 1710 |
| 3 | 387, 855 |
| 3 | 129, 285 |
| 43, 95 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 43 x 95 = 73530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/73530
Therefore, the GCF of Fractions 7618/774,6160/1710 is 2/73530
Least Common Multiple of 774,1710 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 774,1710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,1710) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(774,1710) x common factors =18 x 1 = 18
LCM(774,1710) = ( 774 × 1710 ) / 18
LCM(774,1710) = 1323540 / 18
LCM(774,1710) = 73530
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FAQs on GCF of Fractions of 7618/774, 6160/1710
1. What is the HCF of 7618,6160?
The HCF of 7618,6160 is 2
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 7618/774, 6160/1710?
Answer: GCF of Numerators as per given numbers 7618/774, 6160/1710 is
GCF of Numerators i.e. for 7618,6160 is 2
LCM of denominators i.e. for 774,1710 is 73530.
Thus, GCF of Fractions is 2/73530.Finally, GCF of Fractions for 7618/774, 6160/1710 is 2/73530.