GCF of 5322/845, 6120/910
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5322/845, 6120/910 i.e 6/11830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5322/845, 6120/910.
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 5322/845,6120/910?
Given fractions are 5322/845,6120/910
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 5322/845,6120/910, numerators are 5322,6120
Denominators are 845,910
The GCF of 5322,6120 is 6 .
LCM of 845,910 is 11830.
The greatest common factor of 5322/845,6120/910 = [GCF of 5322,6120]/[LCM of 845,910]= 6/11830
Therefore, the GCF of 5322/845,6120/910 is 6/11830.
To find the highest common factor of 5322,6120, we have to find the factors of both numbers and list the highest common factor.
The factors of 5322 are 1, 2, 3, 6, 887, 1774, 2661, 5322
The factors of 6120 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 17, 18, 20, 24, 30, 34, 36, 40, 45, 51, 60, 68, 72, 85, 90, 102, 120, 136, 153, 170, 180, 204, 255, 306, 340, 360, 408, 510, 612, 680, 765, 1020, 1224, 1530, 2040, 3060, 6120
The HCF of 5322,6120 is 6.
Lets's calculate GCF of 5322,6120
| 2 | 5322, 6120 |
| 3 | 2661, 3060 |
| 887, 1020 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5322,6120 By Matching Biggest Common Factor Method
Now, list down the factors of 5322
:1,2,3,6,887,1774,2661,5322
Now, list down the factors of 6120
:1,2,3,4,5,6,8,9,10,12,15,17,18,20,24,30,34,36,40,45,51,60,68,72,85,90,102,120,136,153,170,180,204,255,306,340,360,408,510,612,680,765,1020,1224,1530,2040,3060,6120
Greatest Common Factor
We found the factors 5322,6120 . The biggest common factor number is the GCF number.
So the greatest common factor 5322,6120 is 6.
Lets's calculate LCM of 845,910
| 5 | 845, 910 |
| 13 | 169, 182 |
| 13, 14 |
∴ So the LCM of the given numbers is 5 x 13 x 13 x 14 = 11830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/11830
Therefore, the GCF of Fractions 5322/845,6120/910 is 6/11830
Least Common Multiple of 845,910 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 845,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,910) = 65
common factors(in case of two or more numbers have common factors) = 1
GCF(845,910) x common factors =65 x 1 = 65
LCM(845,910) = ( 845 × 910 ) / 65
LCM(845,910) = 768950 / 65
LCM(845,910) = 11830
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FAQs on GCF of Fractions of 5322/845, 6120/910
1. What is the HCF of 5322,6120?
The HCF of 5322,6120 is 6
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 5322/845, 6120/910?
Answer: GCF of Numerators as per given numbers 5322/845, 6120/910 is
GCF of Numerators i.e. for 5322,6120 is 6
LCM of denominators i.e. for 845,910 is 11830.
Thus, GCF of Fractions is 6/11830.Finally, GCF of Fractions for 5322/845, 6120/910 is 6/11830.