GCF of 7363/668, 5796/1474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7363/668, 5796/1474 i.e 1/492316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7363/668, 5796/1474.
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 7363/668,5796/1474?
Given fractions are 7363/668,5796/1474
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 7363/668,5796/1474, numerators are 7363,5796
Denominators are 668,1474
The GCF of 7363,5796 is 1 .
LCM of 668,1474 is 492316.
The greatest common factor of 7363/668,5796/1474 = [GCF of 7363,5796]/[LCM of 668,1474]= 1/492316
Therefore, the GCF of 7363/668,5796/1474 is 1/492316.
To find the highest common factor of 7363,5796, we have to find the factors of both numbers and list the highest common factor.
The factors of 7363 are 1, 37, 199, 7363
The factors of 5796 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 23, 28, 36, 42, 46, 63, 69, 84, 92, 126, 138, 161, 207, 252, 276, 322, 414, 483, 644, 828, 966, 1449, 1932, 2898, 5796
The HCF of 7363,5796 is 1.
Lets's calculate GCF of 7363,5796
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7363,5796 By Matching Biggest Common Factor Method
Now, list down the factors of 7363
:1,37,199,7363
Now, list down the factors of 5796
:1,2,3,4,6,7,9,12,14,18,21,23,28,36,42,46,63,69,84,92,126,138,161,207,252,276,322,414,483,644,828,966,1449,1932,2898,5796
Greatest Common Factor
We found the factors 7363,5796 . The biggest common factor number is the GCF number.
So the greatest common factor 7363,5796 is 1.
Lets's calculate LCM of 668,1474
| 2 | 668, 1474 |
| 334, 737 |
∴ So the LCM of the given numbers is 2 x 334 x 737 = 492316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/492316
Therefore, the GCF of Fractions 7363/668,5796/1474 is 1/492316
Least Common Multiple of 668,1474 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 668,1474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,1474) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(668,1474) x common factors =2 x 1 = 2
LCM(668,1474) = ( 668 × 1474 ) / 2
LCM(668,1474) = 984632 / 2
LCM(668,1474) = 492316
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FAQs on GCF of Fractions of 7363/668, 5796/1474
1. What is the HCF of 7363,5796?
The HCF of 7363,5796 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 7363/668, 5796/1474?
Answer: GCF of Numerators as per given numbers 7363/668, 5796/1474 is
GCF of Numerators i.e. for 7363,5796 is 1
LCM of denominators i.e. for 668,1474 is 492316.
Thus, GCF of Fractions is 1/492316.Finally, GCF of Fractions for 7363/668, 5796/1474 is 1/492316.