GCF of 5363/672, 5958/8596
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5363/672, 5958/8596 i.e 1/206304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5363/672, 5958/8596.
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 5363/672,5958/8596?
Given fractions are 5363/672,5958/8596
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 5363/672,5958/8596, numerators are 5363,5958
Denominators are 672,8596
The GCF of 5363,5958 is 1 .
LCM of 672,8596 is 206304.
The greatest common factor of 5363/672,5958/8596 = [GCF of 5363,5958]/[LCM of 672,8596]= 1/206304
Therefore, the GCF of 5363/672,5958/8596 is 1/206304.
To find the highest common factor of 5363,5958, we have to find the factors of both numbers and list the highest common factor.
The factors of 5363 are 1, 31, 173, 5363
The factors of 5958 are 1, 2, 3, 6, 9, 18, 331, 662, 993, 1986, 2979, 5958
The HCF of 5363,5958 is 1.
Lets's calculate GCF of 5363,5958
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5363,5958 By Matching Biggest Common Factor Method
Now, list down the factors of 5363
:1,31,173,5363
Now, list down the factors of 5958
:1,2,3,6,9,18,331,662,993,1986,2979,5958
Greatest Common Factor
We found the factors 5363,5958 . The biggest common factor number is the GCF number.
So the greatest common factor 5363,5958 is 1.
Lets's calculate LCM of 672,8596
| 2 | 672, 8596 |
| 2 | 336, 4298 |
| 7 | 168, 2149 |
| 24, 307 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 24 x 307 = 206304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206304
Therefore, the GCF of Fractions 5363/672,5958/8596 is 1/206304
Least Common Multiple of 672,8596 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 672,8596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,8596) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(672,8596) x common factors =28 x 1 = 28
LCM(672,8596) = ( 672 × 8596 ) / 28
LCM(672,8596) = 5776512 / 28
LCM(672,8596) = 206304
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FAQs on GCF of Fractions of 5363/672, 5958/8596
1. What is the HCF of 5363,5958?
The HCF of 5363,5958 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 5363/672, 5958/8596?
Answer: GCF of Numerators as per given numbers 5363/672, 5958/8596 is
GCF of Numerators i.e. for 5363,5958 is 1
LCM of denominators i.e. for 672,8596 is 206304.
Thus, GCF of Fractions is 1/206304.Finally, GCF of Fractions for 5363/672, 5958/8596 is 1/206304.