GCF of 7306/787, 8680/2218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7306/787, 8680/2218 i.e 2/1745566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7306/787, 8680/2218.
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 7306/787,8680/2218?
Given fractions are 7306/787,8680/2218
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 7306/787,8680/2218, numerators are 7306,8680
Denominators are 787,2218
The GCF of 7306,8680 is 2 .
LCM of 787,2218 is 1745566.
The greatest common factor of 7306/787,8680/2218 = [GCF of 7306,8680]/[LCM of 787,2218]= 2/1745566
Therefore, the GCF of 7306/787,8680/2218 is 2/1745566.
To find the highest common factor of 7306,8680, we have to find the factors of both numbers and list the highest common factor.
The factors of 7306 are 1, 2, 13, 26, 281, 562, 3653, 7306
The factors of 8680 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 31, 35, 40, 56, 62, 70, 124, 140, 155, 217, 248, 280, 310, 434, 620, 868, 1085, 1240, 1736, 2170, 4340, 8680
The HCF of 7306,8680 is 2.
Lets's calculate GCF of 7306,8680
| 2 | 7306, 8680 |
| 3653, 4340 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7306,8680 By Matching Biggest Common Factor Method
Now, list down the factors of 7306
:1,2,13,26,281,562,3653,7306
Now, list down the factors of 8680
:1,2,4,5,7,8,10,14,20,28,31,35,40,56,62,70,124,140,155,217,248,280,310,434,620,868,1085,1240,1736,2170,4340,8680
Greatest Common Factor
We found the factors 7306,8680 . The biggest common factor number is the GCF number.
So the greatest common factor 7306,8680 is 2.
Lets's calculate LCM of 787,2218
Given numbers has no common factors except 1. So, there LCM is their product i.e 1745566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1745566
Therefore, the GCF of Fractions 7306/787,8680/2218 is 2/1745566
Least Common Multiple of 787,2218 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 787,2218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(787,2218) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(787,2218) x common factors =1 x 1 = 1
LCM(787,2218) = ( 787 × 2218 ) / 1
LCM(787,2218) = 1745566 / 1
LCM(787,2218) = 1745566
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FAQs on GCF of Fractions of 7306/787, 8680/2218
1. What is the HCF of 7306,8680?
The HCF of 7306,8680 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 7306/787, 8680/2218?
Answer: GCF of Numerators as per given numbers 7306/787, 8680/2218 is
GCF of Numerators i.e. for 7306,8680 is 2
LCM of denominators i.e. for 787,2218 is 1745566.
Thus, GCF of Fractions is 2/1745566.Finally, GCF of Fractions for 7306/787, 8680/2218 is 2/1745566.