GCF of 9310/621, 3275/445
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9310/621, 3275/445 i.e 5/276345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9310/621, 3275/445.
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 9310/621,3275/445?
Given fractions are 9310/621,3275/445
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 9310/621,3275/445, numerators are 9310,3275
Denominators are 621,445
The GCF of 9310,3275 is 5 .
LCM of 621,445 is 276345.
The greatest common factor of 9310/621,3275/445 = [GCF of 9310,3275]/[LCM of 621,445]= 5/276345
Therefore, the GCF of 9310/621,3275/445 is 5/276345.
To find the highest common factor of 9310,3275, we have to find the factors of both numbers and list the highest common factor.
The factors of 9310 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 49, 70, 95, 98, 133, 190, 245, 266, 490, 665, 931, 1330, 1862, 4655, 9310
The factors of 3275 are 1, 5, 25, 131, 655, 3275
The HCF of 9310,3275 is 5.
Lets's calculate GCF of 9310,3275
| 5 | 9310, 3275 |
| 1862, 655 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9310,3275 By Matching Biggest Common Factor Method
Now, list down the factors of 9310
:1,2,5,7,10,14,19,35,38,49,70,95,98,133,190,245,266,490,665,931,1330,1862,4655,9310
Now, list down the factors of 3275
:1,5,25,131,655,3275
Greatest Common Factor
We found the factors 9310,3275 . The biggest common factor number is the GCF number.
So the greatest common factor 9310,3275 is 5.
Lets's calculate LCM of 621,445
Given numbers has no common factors except 1. So, there LCM is their product i.e 276345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/276345
Therefore, the GCF of Fractions 9310/621,3275/445 is 5/276345
Least Common Multiple of 621,445 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 621,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,445) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(621,445) x common factors =1 x 1 = 1
LCM(621,445) = ( 621 × 445 ) / 1
LCM(621,445) = 276345 / 1
LCM(621,445) = 276345
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FAQs on GCF of Fractions of 9310/621, 3275/445
1. What is the HCF of 9310,3275?
The HCF of 9310,3275 is 5
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 9310/621, 3275/445?
Answer: GCF of Numerators as per given numbers 9310/621, 3275/445 is
GCF of Numerators i.e. for 9310,3275 is 5
LCM of denominators i.e. for 621,445 is 276345.
Thus, GCF of Fractions is 5/276345.Finally, GCF of Fractions for 9310/621, 3275/445 is 5/276345.