GCF of 9293/678, 7120/134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9293/678, 7120/134 i.e 1/45426 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9293/678, 7120/134.
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 9293/678,7120/134?
Given fractions are 9293/678,7120/134
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 9293/678,7120/134, numerators are 9293,7120
Denominators are 678,134
The GCF of 9293,7120 is 1 .
LCM of 678,134 is 45426.
The greatest common factor of 9293/678,7120/134 = [GCF of 9293,7120]/[LCM of 678,134]= 1/45426
Therefore, the GCF of 9293/678,7120/134 is 1/45426.
To find the highest common factor of 9293,7120, we have to find the factors of both numbers and list the highest common factor.
The factors of 9293 are 1, 9293
The factors of 7120 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 89, 178, 356, 445, 712, 890, 1424, 1780, 3560, 7120
The HCF of 9293,7120 is 1.
Lets's calculate GCF of 9293,7120
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9293,7120 By Matching Biggest Common Factor Method
Now, list down the factors of 9293
:1,9293
Now, list down the factors of 7120
:1,2,4,5,8,10,16,20,40,80,89,178,356,445,712,890,1424,1780,3560,7120
Greatest Common Factor
We found the factors 9293,7120 . The biggest common factor number is the GCF number.
So the greatest common factor 9293,7120 is 1.
Lets's calculate LCM of 678,134
| 2 | 678, 134 |
| 339, 67 |
∴ So the LCM of the given numbers is 2 x 339 x 67 = 45426
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45426
Therefore, the GCF of Fractions 9293/678,7120/134 is 1/45426
Least Common Multiple of 678,134 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 678,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(678,134) x common factors =2 x 1 = 2
LCM(678,134) = ( 678 × 134 ) / 2
LCM(678,134) = 90852 / 2
LCM(678,134) = 45426
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FAQs on GCF of Fractions of 9293/678, 7120/134
1. What is the HCF of 9293,7120?
The HCF of 9293,7120 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 9293/678, 7120/134?
Answer: GCF of Numerators as per given numbers 9293/678, 7120/134 is
GCF of Numerators i.e. for 9293,7120 is 1
LCM of denominators i.e. for 678,134 is 45426.
Thus, GCF of Fractions is 1/45426.Finally, GCF of Fractions for 9293/678, 7120/134 is 1/45426.