GCF of 5465/45, 6120/896
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5465/45, 6120/896 i.e 5/40320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5465/45, 6120/896.
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 5465/45,6120/896?
Given fractions are 5465/45,6120/896
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 5465/45,6120/896, numerators are 5465,6120
Denominators are 45,896
The GCF of 5465,6120 is 5 .
LCM of 45,896 is 40320.
The greatest common factor of 5465/45,6120/896 = [GCF of 5465,6120]/[LCM of 45,896]= 5/40320
Therefore, the GCF of 5465/45,6120/896 is 5/40320.
To find the highest common factor of 5465,6120, we have to find the factors of both numbers and list the highest common factor.
The factors of 5465 are 1, 5, 1093, 5465
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 5465,6120 is 5.
Lets's calculate GCF of 5465,6120
| 5 | 5465, 6120 |
| 1093, 1224 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5465,6120 By Matching Biggest Common Factor Method
Now, list down the factors of 5465
:1,5,1093,5465
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 5465,6120 . The biggest common factor number is the GCF number.
So the greatest common factor 5465,6120 is 5.
Lets's calculate LCM of 45,896
Given numbers has no common factors except 1. So, there LCM is their product i.e 40320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/40320
Therefore, the GCF of Fractions 5465/45,6120/896 is 5/40320
Least Common Multiple of 45,896 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 45,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,896) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,896) x common factors =1 x 1 = 1
LCM(45,896) = ( 45 × 896 ) / 1
LCM(45,896) = 40320 / 1
LCM(45,896) = 40320
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FAQs on GCF of Fractions of 5465/45, 6120/896
1. What is the HCF of 5465,6120?
The HCF of 5465,6120 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 5465/45, 6120/896?
Answer: GCF of Numerators as per given numbers 5465/45, 6120/896 is
GCF of Numerators i.e. for 5465,6120 is 5
LCM of denominators i.e. for 45,896 is 40320.
Thus, GCF of Fractions is 5/40320.Finally, GCF of Fractions for 5465/45, 6120/896 is 5/40320.