GCF of 9142/969, 5838/6274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9142/969, 5838/6274 i.e 14/6079506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9142/969, 5838/6274.
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 9142/969,5838/6274?
Given fractions are 9142/969,5838/6274
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 9142/969,5838/6274, numerators are 9142,5838
Denominators are 969,6274
The GCF of 9142,5838 is 14 .
LCM of 969,6274 is 6079506.
The greatest common factor of 9142/969,5838/6274 = [GCF of 9142,5838]/[LCM of 969,6274]= 14/6079506
Therefore, the GCF of 9142/969,5838/6274 is 14/6079506.
To find the highest common factor of 9142,5838, we have to find the factors of both numbers and list the highest common factor.
The factors of 9142 are 1, 2, 7, 14, 653, 1306, 4571, 9142
The factors of 5838 are 1, 2, 3, 6, 7, 14, 21, 42, 139, 278, 417, 834, 973, 1946, 2919, 5838
The HCF of 9142,5838 is 14.
Lets's calculate GCF of 9142,5838
| 2 | 9142, 5838 |
| 7 | 4571, 2919 |
| 653, 417 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 9142,5838 By Matching Biggest Common Factor Method
Now, list down the factors of 9142
:1,2,7,14,653,1306,4571,9142
Now, list down the factors of 5838
:1,2,3,6,7,14,21,42,139,278,417,834,973,1946,2919,5838
Greatest Common Factor
We found the factors 9142,5838 . The biggest common factor number is the GCF number.
So the greatest common factor 9142,5838 is 14.
Lets's calculate LCM of 969,6274
Given numbers has no common factors except 1. So, there LCM is their product i.e 6079506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/6079506
Therefore, the GCF of Fractions 9142/969,5838/6274 is 14/6079506
Least Common Multiple of 969,6274 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 969,6274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,6274) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(969,6274) x common factors =1 x 1 = 1
LCM(969,6274) = ( 969 × 6274 ) / 1
LCM(969,6274) = 6079506 / 1
LCM(969,6274) = 6079506
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FAQs on GCF of Fractions of 9142/969, 5838/6274
1. What is the HCF of 9142,5838?
The HCF of 9142,5838 is 14
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 9142/969, 5838/6274?
Answer: GCF of Numerators as per given numbers 9142/969, 5838/6274 is
GCF of Numerators i.e. for 9142,5838 is 14
LCM of denominators i.e. for 969,6274 is 6079506.
Thus, GCF of Fractions is 14/6079506.Finally, GCF of Fractions for 9142/969, 5838/6274 is 14/6079506.