GCF of 9351/235, 7869/7683
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9351/235, 7869/7683 i.e 3/1805505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9351/235, 7869/7683.
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 9351/235,7869/7683?
Given fractions are 9351/235,7869/7683
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 9351/235,7869/7683, numerators are 9351,7869
Denominators are 235,7683
The GCF of 9351,7869 is 3 .
LCM of 235,7683 is 1805505.
The greatest common factor of 9351/235,7869/7683 = [GCF of 9351,7869]/[LCM of 235,7683]= 3/1805505
Therefore, the GCF of 9351/235,7869/7683 is 3/1805505.
To find the highest common factor of 9351,7869, we have to find the factors of both numbers and list the highest common factor.
The factors of 9351 are 1, 3, 9, 1039, 3117, 9351
The factors of 7869 are 1, 3, 43, 61, 129, 183, 2623, 7869
The HCF of 9351,7869 is 3.
Lets's calculate GCF of 9351,7869
| 3 | 9351, 7869 |
| 3117, 2623 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9351,7869 By Matching Biggest Common Factor Method
Now, list down the factors of 9351
:1,3,9,1039,3117,9351
Now, list down the factors of 7869
:1,3,43,61,129,183,2623,7869
Greatest Common Factor
We found the factors 9351,7869 . The biggest common factor number is the GCF number.
So the greatest common factor 9351,7869 is 3.
Lets's calculate LCM of 235,7683
Given numbers has no common factors except 1. So, there LCM is their product i.e 1805505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1805505
Therefore, the GCF of Fractions 9351/235,7869/7683 is 3/1805505
Least Common Multiple of 235,7683 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 235,7683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,7683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(235,7683) x common factors =1 x 1 = 1
LCM(235,7683) = ( 235 × 7683 ) / 1
LCM(235,7683) = 1805505 / 1
LCM(235,7683) = 1805505
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FAQs on GCF of Fractions of 9351/235, 7869/7683
1. What is the HCF of 9351,7869?
The HCF of 9351,7869 is 3
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 9351/235, 7869/7683?
Answer: GCF of Numerators as per given numbers 9351/235, 7869/7683 is
GCF of Numerators i.e. for 9351,7869 is 3
LCM of denominators i.e. for 235,7683 is 1805505.
Thus, GCF of Fractions is 3/1805505.Finally, GCF of Fractions for 9351/235, 7869/7683 is 3/1805505.