GCF of 7204/783, 9310/669
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7204/783, 9310/669 i.e 2/174609 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7204/783, 9310/669.
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 7204/783,9310/669?
Given fractions are 7204/783,9310/669
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 7204/783,9310/669, numerators are 7204,9310
Denominators are 783,669
The GCF of 7204,9310 is 2 .
LCM of 783,669 is 174609.
The greatest common factor of 7204/783,9310/669 = [GCF of 7204,9310]/[LCM of 783,669]= 2/174609
Therefore, the GCF of 7204/783,9310/669 is 2/174609.
To find the highest common factor of 7204,9310, we have to find the factors of both numbers and list the highest common factor.
The factors of 7204 are 1, 2, 4, 1801, 3602, 7204
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 HCF of 7204,9310 is 2.
Lets's calculate GCF of 7204,9310
| 2 | 7204, 9310 |
| 3602, 4655 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7204,9310 By Matching Biggest Common Factor Method
Now, list down the factors of 7204
:1,2,4,1801,3602,7204
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
Greatest Common Factor
We found the factors 7204,9310 . The biggest common factor number is the GCF number.
So the greatest common factor 7204,9310 is 2.
Lets's calculate LCM of 783,669
| 3 | 783, 669 |
| 261, 223 |
∴ So the LCM of the given numbers is 3 x 261 x 223 = 174609
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/174609
Therefore, the GCF of Fractions 7204/783,9310/669 is 2/174609
Least Common Multiple of 783,669 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 783,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,669) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(783,669) x common factors =3 x 1 = 3
LCM(783,669) = ( 783 × 669 ) / 3
LCM(783,669) = 523827 / 3
LCM(783,669) = 174609
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FAQs on GCF of Fractions of 7204/783, 9310/669
1. What is the HCF of 7204,9310?
The HCF of 7204,9310 is 2
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 7204/783, 9310/669?
Answer: GCF of Numerators as per given numbers 7204/783, 9310/669 is
GCF of Numerators i.e. for 7204,9310 is 2
LCM of denominators i.e. for 783,669 is 174609.
Thus, GCF of Fractions is 2/174609.Finally, GCF of Fractions for 7204/783, 9310/669 is 2/174609.