GCF of 5363/602, 8645/814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5363/602, 8645/814 i.e 1/245014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5363/602, 8645/814.
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 5363/602,8645/814?
Given fractions are 5363/602,8645/814
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 5363/602,8645/814, numerators are 5363,8645
Denominators are 602,814
The GCF of 5363,8645 is 1 .
LCM of 602,814 is 245014.
The greatest common factor of 5363/602,8645/814 = [GCF of 5363,8645]/[LCM of 602,814]= 1/245014
Therefore, the GCF of 5363/602,8645/814 is 1/245014.
To find the highest common factor of 5363,8645, 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 8645 are 1, 5, 7, 13, 19, 35, 65, 91, 95, 133, 247, 455, 665, 1235, 1729, 8645
The HCF of 5363,8645 is 1.
Lets's calculate GCF of 5363,8645
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5363,8645 By Matching Biggest Common Factor Method
Now, list down the factors of 5363
:1,31,173,5363
Now, list down the factors of 8645
:1,5,7,13,19,35,65,91,95,133,247,455,665,1235,1729,8645
Greatest Common Factor
We found the factors 5363,8645 . The biggest common factor number is the GCF number.
So the greatest common factor 5363,8645 is 1.
Lets's calculate LCM of 602,814
| 2 | 602, 814 |
| 301, 407 |
∴ So the LCM of the given numbers is 2 x 301 x 407 = 245014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/245014
Therefore, the GCF of Fractions 5363/602,8645/814 is 1/245014
Least Common Multiple of 602,814 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 602,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,814) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(602,814) x common factors =2 x 1 = 2
LCM(602,814) = ( 602 × 814 ) / 2
LCM(602,814) = 490028 / 2
LCM(602,814) = 245014
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FAQs on GCF of Fractions of 5363/602, 8645/814
1. What is the HCF of 5363,8645?
The HCF of 5363,8645 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 5363/602, 8645/814?
Answer: GCF of Numerators as per given numbers 5363/602, 8645/814 is
GCF of Numerators i.e. for 5363,8645 is 1
LCM of denominators i.e. for 602,814 is 245014.
Thus, GCF of Fractions is 1/245014.Finally, GCF of Fractions for 5363/602, 8645/814 is 1/245014.