GCF of 5490/672, 6040/4090
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5490/672, 6040/4090 i.e 10/1374240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5490/672, 6040/4090.
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 5490/672,6040/4090?
Given fractions are 5490/672,6040/4090
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 5490/672,6040/4090, numerators are 5490,6040
Denominators are 672,4090
The GCF of 5490,6040 is 10 .
LCM of 672,4090 is 1374240.
The greatest common factor of 5490/672,6040/4090 = [GCF of 5490,6040]/[LCM of 672,4090]= 10/1374240
Therefore, the GCF of 5490/672,6040/4090 is 10/1374240.
To find the highest common factor of 5490,6040, we have to find the factors of both numbers and list the highest common factor.
The factors of 5490 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 61, 90, 122, 183, 305, 366, 549, 610, 915, 1098, 1830, 2745, 5490
The factors of 6040 are 1, 2, 4, 5, 8, 10, 20, 40, 151, 302, 604, 755, 1208, 1510, 3020, 6040
The HCF of 5490,6040 is 10.
Lets's calculate GCF of 5490,6040
| 2 | 5490, 6040 |
| 5 | 2745, 3020 |
| 549, 604 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 5490,6040 By Matching Biggest Common Factor Method
Now, list down the factors of 5490
:1,2,3,5,6,9,10,15,18,30,45,61,90,122,183,305,366,549,610,915,1098,1830,2745,5490
Now, list down the factors of 6040
:1,2,4,5,8,10,20,40,151,302,604,755,1208,1510,3020,6040
Greatest Common Factor
We found the factors 5490,6040 . The biggest common factor number is the GCF number.
So the greatest common factor 5490,6040 is 10.
Lets's calculate LCM of 672,4090
| 2 | 672, 4090 |
| 336, 2045 |
∴ So the LCM of the given numbers is 2 x 336 x 2045 = 1374240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1374240
Therefore, the GCF of Fractions 5490/672,6040/4090 is 10/1374240
Least Common Multiple of 672,4090 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 672,4090 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,4090) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(672,4090) x common factors =2 x 1 = 2
LCM(672,4090) = ( 672 × 4090 ) / 2
LCM(672,4090) = 2748480 / 2
LCM(672,4090) = 1374240
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FAQs on GCF of Fractions of 5490/672, 6040/4090
1. What is the HCF of 5490,6040?
The HCF of 5490,6040 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 5490/672, 6040/4090?
Answer: GCF of Numerators as per given numbers 5490/672, 6040/4090 is
GCF of Numerators i.e. for 5490,6040 is 10
LCM of denominators i.e. for 672,4090 is 1374240.
Thus, GCF of Fractions is 10/1374240.Finally, GCF of Fractions for 5490/672, 6040/4090 is 10/1374240.