GCF of 7351/294, 9246/3630
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7351/294, 9246/3630 i.e 1/177870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7351/294, 9246/3630.
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 7351/294,9246/3630?
Given fractions are 7351/294,9246/3630
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 7351/294,9246/3630, numerators are 7351,9246
Denominators are 294,3630
The GCF of 7351,9246 is 1 .
LCM of 294,3630 is 177870.
The greatest common factor of 7351/294,9246/3630 = [GCF of 7351,9246]/[LCM of 294,3630]= 1/177870
Therefore, the GCF of 7351/294,9246/3630 is 1/177870.
To find the highest common factor of 7351,9246, we have to find the factors of both numbers and list the highest common factor.
The factors of 7351 are 1, 7351
The factors of 9246 are 1, 2, 3, 6, 23, 46, 67, 69, 134, 138, 201, 402, 1541, 3082, 4623, 9246
The HCF of 7351,9246 is 1.
Lets's calculate GCF of 7351,9246
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7351,9246 By Matching Biggest Common Factor Method
Now, list down the factors of 7351
:1,7351
Now, list down the factors of 9246
:1,2,3,6,23,46,67,69,134,138,201,402,1541,3082,4623,9246
Greatest Common Factor
We found the factors 7351,9246 . The biggest common factor number is the GCF number.
So the greatest common factor 7351,9246 is 1.
Lets's calculate LCM of 294,3630
| 2 | 294, 3630 |
| 3 | 147, 1815 |
| 49, 605 |
∴ So the LCM of the given numbers is 2 x 3 x 49 x 605 = 177870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177870
Therefore, the GCF of Fractions 7351/294,9246/3630 is 1/177870
Least Common Multiple of 294,3630 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 294,3630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,3630) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(294,3630) x common factors =6 x 1 = 6
LCM(294,3630) = ( 294 × 3630 ) / 6
LCM(294,3630) = 1067220 / 6
LCM(294,3630) = 177870
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FAQs on GCF of Fractions of 7351/294, 9246/3630
1. What is the HCF of 7351,9246?
The HCF of 7351,9246 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 7351/294, 9246/3630?
Answer: GCF of Numerators as per given numbers 7351/294, 9246/3630 is
GCF of Numerators i.e. for 7351,9246 is 1
LCM of denominators i.e. for 294,3630 is 177870.
Thus, GCF of Fractions is 1/177870.Finally, GCF of Fractions for 7351/294, 9246/3630 is 1/177870.