GCF of 7347/353, 8680/2442
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7347/353, 8680/2442 i.e 31/862026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7347/353, 8680/2442.
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 7347/353,8680/2442?
Given fractions are 7347/353,8680/2442
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 7347/353,8680/2442, numerators are 7347,8680
Denominators are 353,2442
The GCF of 7347,8680 is 31 .
LCM of 353,2442 is 862026.
The greatest common factor of 7347/353,8680/2442 = [GCF of 7347,8680]/[LCM of 353,2442]= 31/862026
Therefore, the GCF of 7347/353,8680/2442 is 31/862026.
To find the highest common factor of 7347,8680, we have to find the factors of both numbers and list the highest common factor.
The factors of 7347 are 1, 3, 31, 79, 93, 237, 2449, 7347
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 7347,8680 is 31.
Lets's calculate GCF of 7347,8680
| 31 | 7347, 8680 |
| 237, 280 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 7347,8680 By Matching Biggest Common Factor Method
Now, list down the factors of 7347
:1,3,31,79,93,237,2449,7347
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 7347,8680 . The biggest common factor number is the GCF number.
So the greatest common factor 7347,8680 is 31.
Lets's calculate LCM of 353,2442
Given numbers has no common factors except 1. So, there LCM is their product i.e 862026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/862026
Therefore, the GCF of Fractions 7347/353,8680/2442 is 31/862026
Least Common Multiple of 353,2442 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 353,2442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,2442) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,2442) x common factors =1 x 1 = 1
LCM(353,2442) = ( 353 × 2442 ) / 1
LCM(353,2442) = 862026 / 1
LCM(353,2442) = 862026
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FAQs on GCF of Fractions of 7347/353, 8680/2442
1. What is the HCF of 7347,8680?
The HCF of 7347,8680 is 31
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 7347/353, 8680/2442?
Answer: GCF of Numerators as per given numbers 7347/353, 8680/2442 is
GCF of Numerators i.e. for 7347,8680 is 31
LCM of denominators i.e. for 353,2442 is 862026.
Thus, GCF of Fractions is 31/862026.Finally, GCF of Fractions for 7347/353, 8680/2442 is 31/862026.