GCF of 8593/630, 1077/7147
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8593/630, 1077/7147 i.e 1/643230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8593/630, 1077/7147.
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 8593/630,1077/7147?
Given fractions are 8593/630,1077/7147
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 8593/630,1077/7147, numerators are 8593,1077
Denominators are 630,7147
The GCF of 8593,1077 is 1 .
LCM of 630,7147 is 643230.
The greatest common factor of 8593/630,1077/7147 = [GCF of 8593,1077]/[LCM of 630,7147]= 1/643230
Therefore, the GCF of 8593/630,1077/7147 is 1/643230.
To find the highest common factor of 8593,1077, we have to find the factors of both numbers and list the highest common factor.
The factors of 8593 are 1, 13, 661, 8593
The factors of 1077 are 1, 3, 359, 1077
The HCF of 8593,1077 is 1.
Lets's calculate GCF of 8593,1077
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8593,1077 By Matching Biggest Common Factor Method
Now, list down the factors of 8593
:1,13,661,8593
Now, list down the factors of 1077
:1,3,359,1077
Greatest Common Factor
We found the factors 8593,1077 . The biggest common factor number is the GCF number.
So the greatest common factor 8593,1077 is 1.
Lets's calculate LCM of 630,7147
| 7 | 630, 7147 |
| 90, 1021 |
∴ So the LCM of the given numbers is 7 x 90 x 1021 = 643230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/643230
Therefore, the GCF of Fractions 8593/630,1077/7147 is 1/643230
Least Common Multiple of 630,7147 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 630,7147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,7147) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(630,7147) x common factors =7 x 1 = 7
LCM(630,7147) = ( 630 × 7147 ) / 7
LCM(630,7147) = 4502610 / 7
LCM(630,7147) = 643230
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FAQs on GCF of Fractions of 8593/630, 1077/7147
1. What is the HCF of 8593,1077?
The HCF of 8593,1077 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 8593/630, 1077/7147?
Answer: GCF of Numerators as per given numbers 8593/630, 1077/7147 is
GCF of Numerators i.e. for 8593,1077 is 1
LCM of denominators i.e. for 630,7147 is 643230.
Thus, GCF of Fractions is 1/643230.Finally, GCF of Fractions for 8593/630, 1077/7147 is 1/643230.