GCF of 5151/586, 4274/7926
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5151/586, 4274/7926 i.e 1/2322318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5151/586, 4274/7926.
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 5151/586,4274/7926?
Given fractions are 5151/586,4274/7926
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 5151/586,4274/7926, numerators are 5151,4274
Denominators are 586,7926
The GCF of 5151,4274 is 1 .
LCM of 586,7926 is 2322318.
The greatest common factor of 5151/586,4274/7926 = [GCF of 5151,4274]/[LCM of 586,7926]= 1/2322318
Therefore, the GCF of 5151/586,4274/7926 is 1/2322318.
To find the highest common factor of 5151,4274, we have to find the factors of both numbers and list the highest common factor.
The factors of 5151 are 1, 3, 17, 51, 101, 303, 1717, 5151
The factors of 4274 are 1, 2, 2137, 4274
The HCF of 5151,4274 is 1.
Lets's calculate GCF of 5151,4274
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5151,4274 By Matching Biggest Common Factor Method
Now, list down the factors of 5151
:1,3,17,51,101,303,1717,5151
Now, list down the factors of 4274
:1,2,2137,4274
Greatest Common Factor
We found the factors 5151,4274 . The biggest common factor number is the GCF number.
So the greatest common factor 5151,4274 is 1.
Lets's calculate LCM of 586,7926
| 2 | 586, 7926 |
| 293, 3963 |
∴ So the LCM of the given numbers is 2 x 293 x 3963 = 2322318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2322318
Therefore, the GCF of Fractions 5151/586,4274/7926 is 1/2322318
Least Common Multiple of 586,7926 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 586,7926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,7926) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,7926) x common factors =2 x 1 = 2
LCM(586,7926) = ( 586 × 7926 ) / 2
LCM(586,7926) = 4644636 / 2
LCM(586,7926) = 2322318
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FAQs on GCF of Fractions of 5151/586, 4274/7926
1. What is the HCF of 5151,4274?
The HCF of 5151,4274 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 5151/586, 4274/7926?
Answer: GCF of Numerators as per given numbers 5151/586, 4274/7926 is
GCF of Numerators i.e. for 5151,4274 is 1
LCM of denominators i.e. for 586,7926 is 2322318.
Thus, GCF of Fractions is 1/2322318.Finally, GCF of Fractions for 5151/586, 4274/7926 is 1/2322318.