GCF of 1040/457, 4520/5138
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1040/457, 4520/5138 i.e 40/2348066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1040/457, 4520/5138.
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 1040/457,4520/5138?
Given fractions are 1040/457,4520/5138
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 1040/457,4520/5138, numerators are 1040,4520
Denominators are 457,5138
The GCF of 1040,4520 is 40 .
LCM of 457,5138 is 2348066.
The greatest common factor of 1040/457,4520/5138 = [GCF of 1040,4520]/[LCM of 457,5138]= 40/2348066
Therefore, the GCF of 1040/457,4520/5138 is 40/2348066.
To find the highest common factor of 1040,4520, 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 4520 are 1, 2, 4, 5, 8, 10, 20, 40, 113, 226, 452, 565, 904, 1130, 2260, 4520
The HCF of 1040,4520 is 40.
Lets's calculate GCF of 1040,4520
| 2 | 1040, 4520 |
| 2 | 520, 2260 |
| 2 | 260, 1130 |
| 5 | 130, 565 |
| 26, 113 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Greatest Common Factor of 1040,4520 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 4520
:1,2,4,5,8,10,20,40,113,226,452,565,904,1130,2260,4520
Greatest Common Factor
We found the factors 1040,4520 . The biggest common factor number is the GCF number.
So the greatest common factor 1040,4520 is 40.
Lets's calculate LCM of 457,5138
Given numbers has no common factors except 1. So, there LCM is their product i.e 2348066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/2348066
Therefore, the GCF of Fractions 1040/457,4520/5138 is 40/2348066
Least Common Multiple of 457,5138 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 457,5138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,5138) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,5138) x common factors =1 x 1 = 1
LCM(457,5138) = ( 457 × 5138 ) / 1
LCM(457,5138) = 2348066 / 1
LCM(457,5138) = 2348066
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FAQs on GCF of Fractions of 1040/457, 4520/5138
1. What is the HCF of 1040,4520?
The HCF of 1040,4520 is 40
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 1040/457, 4520/5138?
Answer: GCF of Numerators as per given numbers 1040/457, 4520/5138 is
GCF of Numerators i.e. for 1040,4520 is 40
LCM of denominators i.e. for 457,5138 is 2348066.
Thus, GCF of Fractions is 40/2348066.Finally, GCF of Fractions for 1040/457, 4520/5138 is 40/2348066.