GCF of 1144/834, 8395/5070
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1144/834, 8395/5070 i.e 1/704730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1144/834, 8395/5070.
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 1144/834,8395/5070?
Given fractions are 1144/834,8395/5070
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 1144/834,8395/5070, numerators are 1144,8395
Denominators are 834,5070
The GCF of 1144,8395 is 1 .
LCM of 834,5070 is 704730.
The greatest common factor of 1144/834,8395/5070 = [GCF of 1144,8395]/[LCM of 834,5070]= 1/704730
Therefore, the GCF of 1144/834,8395/5070 is 1/704730.
To find the highest common factor of 1144,8395, we have to find the factors of both numbers and list the highest common factor.
The factors of 1144 are 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144
The factors of 8395 are 1, 5, 23, 73, 115, 365, 1679, 8395
The HCF of 1144,8395 is 1.
Lets's calculate GCF of 1144,8395
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1144,8395 By Matching Biggest Common Factor Method
Now, list down the factors of 1144
:1,2,4,8,11,13,22,26,44,52,88,104,143,286,572,1144
Now, list down the factors of 8395
:1,5,23,73,115,365,1679,8395
Greatest Common Factor
We found the factors 1144,8395 . The biggest common factor number is the GCF number.
So the greatest common factor 1144,8395 is 1.
Lets's calculate LCM of 834,5070
| 2 | 834, 5070 |
| 3 | 417, 2535 |
| 139, 845 |
∴ So the LCM of the given numbers is 2 x 3 x 139 x 845 = 704730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/704730
Therefore, the GCF of Fractions 1144/834,8395/5070 is 1/704730
Least Common Multiple of 834,5070 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 834,5070 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(834,5070) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(834,5070) x common factors =6 x 1 = 6
LCM(834,5070) = ( 834 × 5070 ) / 6
LCM(834,5070) = 4228380 / 6
LCM(834,5070) = 704730
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FAQs on GCF of Fractions of 1144/834, 8395/5070
1. What is the HCF of 1144,8395?
The HCF of 1144,8395 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 1144/834, 8395/5070?
Answer: GCF of Numerators as per given numbers 1144/834, 8395/5070 is
GCF of Numerators i.e. for 1144,8395 is 1
LCM of denominators i.e. for 834,5070 is 704730.
Thus, GCF of Fractions is 1/704730.Finally, GCF of Fractions for 1144/834, 8395/5070 is 1/704730.