GCF of 7347/864, 1494/6418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7347/864, 1494/6418 i.e 3/2772576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7347/864, 1494/6418.
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 7347/864,1494/6418?
Given fractions are 7347/864,1494/6418
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 7347/864,1494/6418, numerators are 7347,1494
Denominators are 864,6418
The GCF of 7347,1494 is 3 .
LCM of 864,6418 is 2772576.
The greatest common factor of 7347/864,1494/6418 = [GCF of 7347,1494]/[LCM of 864,6418]= 3/2772576
Therefore, the GCF of 7347/864,1494/6418 is 3/2772576.
To find the highest common factor of 7347,1494, we have to find the factors of both numbers and list the highest common factor.
The factors of 7347 are 1, 3, 31, 79, 93, 237, 2449, 7347
The factors of 1494 are 1, 2, 3, 6, 9, 18, 83, 166, 249, 498, 747, 1494
The HCF of 7347,1494 is 3.
Lets's calculate GCF of 7347,1494
| 3 | 7347, 1494 |
| 2449, 498 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7347,1494 By Matching Biggest Common Factor Method
Now, list down the factors of 7347
:1,3,31,79,93,237,2449,7347
Now, list down the factors of 1494
:1,2,3,6,9,18,83,166,249,498,747,1494
Greatest Common Factor
We found the factors 7347,1494 . The biggest common factor number is the GCF number.
So the greatest common factor 7347,1494 is 3.
Lets's calculate LCM of 864,6418
| 2 | 864, 6418 |
| 432, 3209 |
∴ So the LCM of the given numbers is 2 x 432 x 3209 = 2772576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2772576
Therefore, the GCF of Fractions 7347/864,1494/6418 is 3/2772576
Least Common Multiple of 864,6418 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 864,6418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,6418) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(864,6418) x common factors =2 x 1 = 2
LCM(864,6418) = ( 864 × 6418 ) / 2
LCM(864,6418) = 5545152 / 2
LCM(864,6418) = 2772576
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FAQs on GCF of Fractions of 7347/864, 1494/6418
1. What is the HCF of 7347,1494?
The HCF of 7347,1494 is 3
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 7347/864, 1494/6418?
Answer: GCF of Numerators as per given numbers 7347/864, 1494/6418 is
GCF of Numerators i.e. for 7347,1494 is 3
LCM of denominators i.e. for 864,6418 is 2772576.
Thus, GCF of Fractions is 3/2772576.Finally, GCF of Fractions for 7347/864, 1494/6418 is 3/2772576.