GCF of 1040/546, 5018/3211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1040/546, 5018/3211 i.e 26/134862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1040/546, 5018/3211.
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 1040/546,5018/3211?
Given fractions are 1040/546,5018/3211
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 1040/546,5018/3211, numerators are 1040,5018
Denominators are 546,3211
The GCF of 1040,5018 is 26 .
LCM of 546,3211 is 134862.
The greatest common factor of 1040/546,5018/3211 = [GCF of 1040,5018]/[LCM of 546,3211]= 26/134862
Therefore, the GCF of 1040/546,5018/3211 is 26/134862.
To find the highest common factor of 1040,5018, we have to find the factors of both numbers and list the highest common factor.
The factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040
The factors of 5018 are 1, 2, 13, 26, 193, 386, 2509, 5018
The HCF of 1040,5018 is 26.
Lets's calculate GCF of 1040,5018
| 2 | 1040, 5018 |
| 13 | 520, 2509 |
| 40, 193 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 1040,5018 By Matching Biggest Common Factor Method
Now, list down the factors of 1040
:1,2,4,5,8,10,13,16,20,26,40,52,65,80,104,130,208,260,520,1040
Now, list down the factors of 5018
:1,2,13,26,193,386,2509,5018
Greatest Common Factor
We found the factors 1040,5018 . The biggest common factor number is the GCF number.
So the greatest common factor 1040,5018 is 26.
Lets's calculate LCM of 546,3211
| 13 | 546, 3211 |
| 42, 247 |
∴ So the LCM of the given numbers is 13 x 42 x 247 = 134862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/134862
Therefore, the GCF of Fractions 1040/546,5018/3211 is 26/134862
Least Common Multiple of 546,3211 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 546,3211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,3211) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(546,3211) x common factors =13 x 1 = 13
LCM(546,3211) = ( 546 × 3211 ) / 13
LCM(546,3211) = 1753206 / 13
LCM(546,3211) = 134862
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FAQs on GCF of Fractions of 1040/546, 5018/3211
1. What is the HCF of 1040,5018?
The HCF of 1040,5018 is 26
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 1040/546, 5018/3211?
Answer: GCF of Numerators as per given numbers 1040/546, 5018/3211 is
GCF of Numerators i.e. for 1040,5018 is 26
LCM of denominators i.e. for 546,3211 is 134862.
Thus, GCF of Fractions is 26/134862.Finally, GCF of Fractions for 1040/546, 5018/3211 is 26/134862.