GCF of 9530/349, 2678/8178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9530/349, 2678/8178 i.e 2/2854122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9530/349, 2678/8178.
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 9530/349,2678/8178?
Given fractions are 9530/349,2678/8178
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 9530/349,2678/8178, numerators are 9530,2678
Denominators are 349,8178
The GCF of 9530,2678 is 2 .
LCM of 349,8178 is 2854122.
The greatest common factor of 9530/349,2678/8178 = [GCF of 9530,2678]/[LCM of 349,8178]= 2/2854122
Therefore, the GCF of 9530/349,2678/8178 is 2/2854122.
To find the highest common factor of 9530,2678, we have to find the factors of both numbers and list the highest common factor.
The factors of 9530 are 1, 2, 5, 10, 953, 1906, 4765, 9530
The factors of 2678 are 1, 2, 13, 26, 103, 206, 1339, 2678
The HCF of 9530,2678 is 2.
Lets's calculate GCF of 9530,2678
| 2 | 9530, 2678 |
| 4765, 1339 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9530,2678 By Matching Biggest Common Factor Method
Now, list down the factors of 9530
:1,2,5,10,953,1906,4765,9530
Now, list down the factors of 2678
:1,2,13,26,103,206,1339,2678
Greatest Common Factor
We found the factors 9530,2678 . The biggest common factor number is the GCF number.
So the greatest common factor 9530,2678 is 2.
Lets's calculate LCM of 349,8178
Given numbers has no common factors except 1. So, there LCM is their product i.e 2854122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2854122
Therefore, the GCF of Fractions 9530/349,2678/8178 is 2/2854122
Least Common Multiple of 349,8178 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 349,8178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,8178) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(349,8178) x common factors =1 x 1 = 1
LCM(349,8178) = ( 349 × 8178 ) / 1
LCM(349,8178) = 2854122 / 1
LCM(349,8178) = 2854122
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FAQs on GCF of Fractions of 9530/349, 2678/8178
1. What is the HCF of 9530,2678?
The HCF of 9530,2678 is 2
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 9530/349, 2678/8178?
Answer: GCF of Numerators as per given numbers 9530/349, 2678/8178 is
GCF of Numerators i.e. for 9530,2678 is 2
LCM of denominators i.e. for 349,8178 is 2854122.
Thus, GCF of Fractions is 2/2854122.Finally, GCF of Fractions for 9530/349, 2678/8178 is 2/2854122.