GCF of 6110/122, 5219/8264
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6110/122, 5219/8264 i.e 1/504104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6110/122, 5219/8264.
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 6110/122,5219/8264?
Given fractions are 6110/122,5219/8264
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 6110/122,5219/8264, numerators are 6110,5219
Denominators are 122,8264
The GCF of 6110,5219 is 1 .
LCM of 122,8264 is 504104.
The greatest common factor of 6110/122,5219/8264 = [GCF of 6110,5219]/[LCM of 122,8264]= 1/504104
Therefore, the GCF of 6110/122,5219/8264 is 1/504104.
To find the highest common factor of 6110,5219, we have to find the factors of both numbers and list the highest common factor.
The factors of 6110 are 1, 2, 5, 10, 13, 26, 47, 65, 94, 130, 235, 470, 611, 1222, 3055, 6110
The factors of 5219 are 1, 17, 307, 5219
The HCF of 6110,5219 is 1.
Lets's calculate GCF of 6110,5219
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6110,5219 By Matching Biggest Common Factor Method
Now, list down the factors of 6110
:1,2,5,10,13,26,47,65,94,130,235,470,611,1222,3055,6110
Now, list down the factors of 5219
:1,17,307,5219
Greatest Common Factor
We found the factors 6110,5219 . The biggest common factor number is the GCF number.
So the greatest common factor 6110,5219 is 1.
Lets's calculate LCM of 122,8264
| 2 | 122, 8264 |
| 61, 4132 |
∴ So the LCM of the given numbers is 2 x 61 x 4132 = 504104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/504104
Therefore, the GCF of Fractions 6110/122,5219/8264 is 1/504104
Least Common Multiple of 122,8264 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 122,8264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,8264) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(122,8264) x common factors =2 x 1 = 2
LCM(122,8264) = ( 122 × 8264 ) / 2
LCM(122,8264) = 1008208 / 2
LCM(122,8264) = 504104
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FAQs on GCF of Fractions of 6110/122, 5219/8264
1. What is the HCF of 6110,5219?
The HCF of 6110,5219 is 1
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 6110/122, 5219/8264?
Answer: GCF of Numerators as per given numbers 6110/122, 5219/8264 is
GCF of Numerators i.e. for 6110,5219 is 1
LCM of denominators i.e. for 122,8264 is 504104.
Thus, GCF of Fractions is 1/504104.Finally, GCF of Fractions for 6110/122, 5219/8264 is 1/504104.