GCF of 5029/774, 7040/9711
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5029/774, 7040/9711 i.e 1/835146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5029/774, 7040/9711.
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 5029/774,7040/9711?
Given fractions are 5029/774,7040/9711
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 5029/774,7040/9711, numerators are 5029,7040
Denominators are 774,9711
The GCF of 5029,7040 is 1 .
LCM of 774,9711 is 835146.
The greatest common factor of 5029/774,7040/9711 = [GCF of 5029,7040]/[LCM of 774,9711]= 1/835146
Therefore, the GCF of 5029/774,7040/9711 is 1/835146.
To find the highest common factor of 5029,7040, we have to find the factors of both numbers and list the highest common factor.
The factors of 5029 are 1, 47, 107, 5029
The factors of 7040 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 320, 352, 440, 640, 704, 880, 1408, 1760, 3520, 7040
The HCF of 5029,7040 is 1.
Lets's calculate GCF of 5029,7040
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5029,7040 By Matching Biggest Common Factor Method
Now, list down the factors of 5029
:1,47,107,5029
Now, list down the factors of 7040
:1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,128,160,176,220,320,352,440,640,704,880,1408,1760,3520,7040
Greatest Common Factor
We found the factors 5029,7040 . The biggest common factor number is the GCF number.
So the greatest common factor 5029,7040 is 1.
Lets's calculate LCM of 774,9711
| 3 | 774, 9711 |
| 3 | 258, 3237 |
| 86, 1079 |
∴ So the LCM of the given numbers is 3 x 3 x 86 x 1079 = 835146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/835146
Therefore, the GCF of Fractions 5029/774,7040/9711 is 1/835146
Least Common Multiple of 774,9711 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 774,9711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,9711) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(774,9711) x common factors =9 x 1 = 9
LCM(774,9711) = ( 774 × 9711 ) / 9
LCM(774,9711) = 7516314 / 9
LCM(774,9711) = 835146
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FAQs on GCF of Fractions of 5029/774, 7040/9711
1. What is the HCF of 5029,7040?
The HCF of 5029,7040 is 1
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 5029/774, 7040/9711?
Answer: GCF of Numerators as per given numbers 5029/774, 7040/9711 is
GCF of Numerators i.e. for 5029,7040 is 1
LCM of denominators i.e. for 774,9711 is 835146.
Thus, GCF of Fractions is 1/835146.Finally, GCF of Fractions for 5029/774, 7040/9711 is 1/835146.