GCF of 5173/217, 7102/1364
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5173/217, 7102/1364 i.e 1/9548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5173/217, 7102/1364.
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 5173/217,7102/1364?
Given fractions are 5173/217,7102/1364
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 5173/217,7102/1364, numerators are 5173,7102
Denominators are 217,1364
The GCF of 5173,7102 is 1 .
LCM of 217,1364 is 9548.
The greatest common factor of 5173/217,7102/1364 = [GCF of 5173,7102]/[LCM of 217,1364]= 1/9548
Therefore, the GCF of 5173/217,7102/1364 is 1/9548.
To find the highest common factor of 5173,7102, we have to find the factors of both numbers and list the highest common factor.
The factors of 5173 are 1, 7, 739, 5173
The factors of 7102 are 1, 2, 53, 67, 106, 134, 3551, 7102
The HCF of 5173,7102 is 1.
Lets's calculate GCF of 5173,7102
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5173,7102 By Matching Biggest Common Factor Method
Now, list down the factors of 5173
:1,7,739,5173
Now, list down the factors of 7102
:1,2,53,67,106,134,3551,7102
Greatest Common Factor
We found the factors 5173,7102 . The biggest common factor number is the GCF number.
So the greatest common factor 5173,7102 is 1.
Lets's calculate LCM of 217,1364
| 31 | 217, 1364 |
| 7, 44 |
∴ So the LCM of the given numbers is 31 x 7 x 44 = 9548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9548
Therefore, the GCF of Fractions 5173/217,7102/1364 is 1/9548
Least Common Multiple of 217,1364 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 217,1364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,1364) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(217,1364) x common factors =31 x 1 = 31
LCM(217,1364) = ( 217 × 1364 ) / 31
LCM(217,1364) = 295988 / 31
LCM(217,1364) = 9548
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FAQs on GCF of Fractions of 5173/217, 7102/1364
1. What is the HCF of 5173,7102?
The HCF of 5173,7102 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 5173/217, 7102/1364?
Answer: GCF of Numerators as per given numbers 5173/217, 7102/1364 is
GCF of Numerators i.e. for 5173,7102 is 1
LCM of denominators i.e. for 217,1364 is 9548.
Thus, GCF of Fractions is 1/9548.Finally, GCF of Fractions for 5173/217, 7102/1364 is 1/9548.