GCF of 9302/786, 6509/310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9302/786, 6509/310 i.e 1/121830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9302/786, 6509/310.
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 9302/786,6509/310?
Given fractions are 9302/786,6509/310
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 9302/786,6509/310, numerators are 9302,6509
Denominators are 786,310
The GCF of 9302,6509 is 1 .
LCM of 786,310 is 121830.
The greatest common factor of 9302/786,6509/310 = [GCF of 9302,6509]/[LCM of 786,310]= 1/121830
Therefore, the GCF of 9302/786,6509/310 is 1/121830.
To find the highest common factor of 9302,6509, we have to find the factors of both numbers and list the highest common factor.
The factors of 9302 are 1, 2, 4651, 9302
The factors of 6509 are 1, 23, 283, 6509
The HCF of 9302,6509 is 1.
Lets's calculate GCF of 9302,6509
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9302,6509 By Matching Biggest Common Factor Method
Now, list down the factors of 9302
:1,2,4651,9302
Now, list down the factors of 6509
:1,23,283,6509
Greatest Common Factor
We found the factors 9302,6509 . The biggest common factor number is the GCF number.
So the greatest common factor 9302,6509 is 1.
Lets's calculate LCM of 786,310
| 2 | 786, 310 |
| 393, 155 |
∴ So the LCM of the given numbers is 2 x 393 x 155 = 121830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121830
Therefore, the GCF of Fractions 9302/786,6509/310 is 1/121830
Least Common Multiple of 786,310 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 786,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,310) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(786,310) x common factors =2 x 1 = 2
LCM(786,310) = ( 786 × 310 ) / 2
LCM(786,310) = 243660 / 2
LCM(786,310) = 121830
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FAQs on GCF of Fractions of 9302/786, 6509/310
1. What is the HCF of 9302,6509?
The HCF of 9302,6509 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 9302/786, 6509/310?
Answer: GCF of Numerators as per given numbers 9302/786, 6509/310 is
GCF of Numerators i.e. for 9302,6509 is 1
LCM of denominators i.e. for 786,310 is 121830.
Thus, GCF of Fractions is 1/121830.Finally, GCF of Fractions for 9302/786, 6509/310 is 1/121830.