GCF of 4714/309, 7454/5574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4714/309, 7454/5574 i.e 2/574122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4714/309, 7454/5574.
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 4714/309,7454/5574?
Given fractions are 4714/309,7454/5574
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 4714/309,7454/5574, numerators are 4714,7454
Denominators are 309,5574
The GCF of 4714,7454 is 2 .
LCM of 309,5574 is 574122.
The greatest common factor of 4714/309,7454/5574 = [GCF of 4714,7454]/[LCM of 309,5574]= 2/574122
Therefore, the GCF of 4714/309,7454/5574 is 2/574122.
To find the highest common factor of 4714,7454, we have to find the factors of both numbers and list the highest common factor.
The factors of 4714 are 1, 2, 2357, 4714
The factors of 7454 are 1, 2, 3727, 7454
The HCF of 4714,7454 is 2.
Lets's calculate GCF of 4714,7454
| 2 | 4714, 7454 |
| 2357, 3727 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4714,7454 By Matching Biggest Common Factor Method
Now, list down the factors of 4714
:1,2,2357,4714
Now, list down the factors of 7454
:1,2,3727,7454
Greatest Common Factor
We found the factors 4714,7454 . The biggest common factor number is the GCF number.
So the greatest common factor 4714,7454 is 2.
Lets's calculate LCM of 309,5574
| 3 | 309, 5574 |
| 103, 1858 |
∴ So the LCM of the given numbers is 3 x 103 x 1858 = 574122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/574122
Therefore, the GCF of Fractions 4714/309,7454/5574 is 2/574122
Least Common Multiple of 309,5574 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 309,5574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,5574) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(309,5574) x common factors =3 x 1 = 3
LCM(309,5574) = ( 309 × 5574 ) / 3
LCM(309,5574) = 1722366 / 3
LCM(309,5574) = 574122
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FAQs on GCF of Fractions of 4714/309, 7454/5574
1. What is the HCF of 4714,7454?
The HCF of 4714,7454 is 2
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 4714/309, 7454/5574?
Answer: GCF of Numerators as per given numbers 4714/309, 7454/5574 is
GCF of Numerators i.e. for 4714,7454 is 2
LCM of denominators i.e. for 309,5574 is 574122.
Thus, GCF of Fractions is 2/574122.Finally, GCF of Fractions for 4714/309, 7454/5574 is 2/574122.