GCF of 4694/758, 8614/306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4694/758, 8614/306 i.e 2/115974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4694/758, 8614/306.
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 4694/758,8614/306?
Given fractions are 4694/758,8614/306
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 4694/758,8614/306, numerators are 4694,8614
Denominators are 758,306
The GCF of 4694,8614 is 2 .
LCM of 758,306 is 115974.
The greatest common factor of 4694/758,8614/306 = [GCF of 4694,8614]/[LCM of 758,306]= 2/115974
Therefore, the GCF of 4694/758,8614/306 is 2/115974.
To find the highest common factor of 4694,8614, we have to find the factors of both numbers and list the highest common factor.
The factors of 4694 are 1, 2, 2347, 4694
The factors of 8614 are 1, 2, 59, 73, 118, 146, 4307, 8614
The HCF of 4694,8614 is 2.
Lets's calculate GCF of 4694,8614
| 2 | 4694, 8614 |
| 2347, 4307 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4694,8614 By Matching Biggest Common Factor Method
Now, list down the factors of 4694
:1,2,2347,4694
Now, list down the factors of 8614
:1,2,59,73,118,146,4307,8614
Greatest Common Factor
We found the factors 4694,8614 . The biggest common factor number is the GCF number.
So the greatest common factor 4694,8614 is 2.
Lets's calculate LCM of 758,306
| 2 | 758, 306 |
| 379, 153 |
∴ So the LCM of the given numbers is 2 x 379 x 153 = 115974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/115974
Therefore, the GCF of Fractions 4694/758,8614/306 is 2/115974
Least Common Multiple of 758,306 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 758,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,306) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(758,306) x common factors =2 x 1 = 2
LCM(758,306) = ( 758 × 306 ) / 2
LCM(758,306) = 231948 / 2
LCM(758,306) = 115974
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FAQs on GCF of Fractions of 4694/758, 8614/306
1. What is the HCF of 4694,8614?
The HCF of 4694,8614 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 4694/758, 8614/306?
Answer: GCF of Numerators as per given numbers 4694/758, 8614/306 is
GCF of Numerators i.e. for 4694,8614 is 2
LCM of denominators i.e. for 758,306 is 115974.
Thus, GCF of Fractions is 2/115974.Finally, GCF of Fractions for 4694/758, 8614/306 is 2/115974.