GCF of 110/409, 7620/294
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 110/409, 7620/294 i.e 10/120246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 110/409, 7620/294.
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 110/409,7620/294?
Given fractions are 110/409,7620/294
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 110/409,7620/294, numerators are 110,7620
Denominators are 409,294
The GCF of 110,7620 is 10 .
LCM of 409,294 is 120246.
The greatest common factor of 110/409,7620/294 = [GCF of 110,7620]/[LCM of 409,294]= 10/120246
Therefore, the GCF of 110/409,7620/294 is 10/120246.
To find the highest common factor of 110,7620, we have to find the factors of both numbers and list the highest common factor.
The factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110
The factors of 7620 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 127, 254, 381, 508, 635, 762, 1270, 1524, 1905, 2540, 3810, 7620
The HCF of 110,7620 is 10.
Lets's calculate GCF of 110,7620
| 2 | 110, 7620 |
| 5 | 55, 3810 |
| 11, 762 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 110,7620 By Matching Biggest Common Factor Method
Now, list down the factors of 110
:1,2,5,10,11,22,55,110
Now, list down the factors of 7620
:1,2,3,4,5,6,10,12,15,20,30,60,127,254,381,508,635,762,1270,1524,1905,2540,3810,7620
Greatest Common Factor
We found the factors 110,7620 . The biggest common factor number is the GCF number.
So the greatest common factor 110,7620 is 10.
Lets's calculate LCM of 409,294
Given numbers has no common factors except 1. So, there LCM is their product i.e 120246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/120246
Therefore, the GCF of Fractions 110/409,7620/294 is 10/120246
Least Common Multiple of 409,294 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 409,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,294) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,294) x common factors =1 x 1 = 1
LCM(409,294) = ( 409 × 294 ) / 1
LCM(409,294) = 120246 / 1
LCM(409,294) = 120246
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FAQs on GCF of Fractions of 110/409, 7620/294
1. What is the HCF of 110,7620?
The HCF of 110,7620 is 10
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 110/409, 7620/294?
Answer: GCF of Numerators as per given numbers 110/409, 7620/294 is
GCF of Numerators i.e. for 110,7620 is 10
LCM of denominators i.e. for 409,294 is 120246.
Thus, GCF of Fractions is 10/120246.Finally, GCF of Fractions for 110/409, 7620/294 is 10/120246.