GCF of 5112/493, 7194/4719
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5112/493, 7194/4719 i.e 6/2326467 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5112/493, 7194/4719.
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 5112/493,7194/4719?
Given fractions are 5112/493,7194/4719
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 5112/493,7194/4719, numerators are 5112,7194
Denominators are 493,4719
The GCF of 5112,7194 is 6 .
LCM of 493,4719 is 2326467.
The greatest common factor of 5112/493,7194/4719 = [GCF of 5112,7194]/[LCM of 493,4719]= 6/2326467
Therefore, the GCF of 5112/493,7194/4719 is 6/2326467.
To find the highest common factor of 5112,7194, we have to find the factors of both numbers and list the highest common factor.
The factors of 5112 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 71, 72, 142, 213, 284, 426, 568, 639, 852, 1278, 1704, 2556, 5112
The factors of 7194 are 1, 2, 3, 6, 11, 22, 33, 66, 109, 218, 327, 654, 1199, 2398, 3597, 7194
The HCF of 5112,7194 is 6.
Lets's calculate GCF of 5112,7194
| 2 | 5112, 7194 |
| 3 | 2556, 3597 |
| 852, 1199 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5112,7194 By Matching Biggest Common Factor Method
Now, list down the factors of 5112
:1,2,3,4,6,8,9,12,18,24,36,71,72,142,213,284,426,568,639,852,1278,1704,2556,5112
Now, list down the factors of 7194
:1,2,3,6,11,22,33,66,109,218,327,654,1199,2398,3597,7194
Greatest Common Factor
We found the factors 5112,7194 . The biggest common factor number is the GCF number.
So the greatest common factor 5112,7194 is 6.
Lets's calculate LCM of 493,4719
Given numbers has no common factors except 1. So, there LCM is their product i.e 2326467
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2326467
Therefore, the GCF of Fractions 5112/493,7194/4719 is 6/2326467
Least Common Multiple of 493,4719 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 493,4719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,4719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(493,4719) x common factors =1 x 1 = 1
LCM(493,4719) = ( 493 × 4719 ) / 1
LCM(493,4719) = 2326467 / 1
LCM(493,4719) = 2326467
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FAQs on GCF of Fractions of 5112/493, 7194/4719
1. What is the HCF of 5112,7194?
The HCF of 5112,7194 is 6
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 5112/493, 7194/4719?
Answer: GCF of Numerators as per given numbers 5112/493, 7194/4719 is
GCF of Numerators i.e. for 5112,7194 is 6
LCM of denominators i.e. for 493,4719 is 2326467.
Thus, GCF of Fractions is 6/2326467.Finally, GCF of Fractions for 5112/493, 7194/4719 is 6/2326467.