GCF of 6493/726, 4134/2282
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6493/726, 4134/2282 i.e 1/828366 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6493/726, 4134/2282.
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 6493/726,4134/2282?
Given fractions are 6493/726,4134/2282
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 6493/726,4134/2282, numerators are 6493,4134
Denominators are 726,2282
The GCF of 6493,4134 is 1 .
LCM of 726,2282 is 828366.
The greatest common factor of 6493/726,4134/2282 = [GCF of 6493,4134]/[LCM of 726,2282]= 1/828366
Therefore, the GCF of 6493/726,4134/2282 is 1/828366.
To find the highest common factor of 6493,4134, we have to find the factors of both numbers and list the highest common factor.
The factors of 6493 are 1, 43, 151, 6493
The factors of 4134 are 1, 2, 3, 6, 13, 26, 39, 53, 78, 106, 159, 318, 689, 1378, 2067, 4134
The HCF of 6493,4134 is 1.
Lets's calculate GCF of 6493,4134
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6493,4134 By Matching Biggest Common Factor Method
Now, list down the factors of 6493
:1,43,151,6493
Now, list down the factors of 4134
:1,2,3,6,13,26,39,53,78,106,159,318,689,1378,2067,4134
Greatest Common Factor
We found the factors 6493,4134 . The biggest common factor number is the GCF number.
So the greatest common factor 6493,4134 is 1.
Lets's calculate LCM of 726,2282
| 2 | 726, 2282 |
| 363, 1141 |
∴ So the LCM of the given numbers is 2 x 363 x 1141 = 828366
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/828366
Therefore, the GCF of Fractions 6493/726,4134/2282 is 1/828366
Least Common Multiple of 726,2282 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 726,2282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,2282) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(726,2282) x common factors =2 x 1 = 2
LCM(726,2282) = ( 726 × 2282 ) / 2
LCM(726,2282) = 1656732 / 2
LCM(726,2282) = 828366
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FAQs on GCF of Fractions of 6493/726, 4134/2282
1. What is the HCF of 6493,4134?
The HCF of 6493,4134 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 6493/726, 4134/2282?
Answer: GCF of Numerators as per given numbers 6493/726, 4134/2282 is
GCF of Numerators i.e. for 6493,4134 is 1
LCM of denominators i.e. for 726,2282 is 828366.
Thus, GCF of Fractions is 1/828366.Finally, GCF of Fractions for 6493/726, 4134/2282 is 1/828366.