GCF of 8680/431, 9652/7143
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8680/431, 9652/7143 i.e 4/3078633 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8680/431, 9652/7143.
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 8680/431,9652/7143?
Given fractions are 8680/431,9652/7143
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 8680/431,9652/7143, numerators are 8680,9652
Denominators are 431,7143
The GCF of 8680,9652 is 4 .
LCM of 431,7143 is 3078633.
The greatest common factor of 8680/431,9652/7143 = [GCF of 8680,9652]/[LCM of 431,7143]= 4/3078633
Therefore, the GCF of 8680/431,9652/7143 is 4/3078633.
To find the highest common factor of 8680,9652, we have to find the factors of both numbers and list the highest common factor.
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 factors of 9652 are 1, 2, 4, 19, 38, 76, 127, 254, 508, 2413, 4826, 9652
The HCF of 8680,9652 is 4.
Lets's calculate GCF of 8680,9652
| 2 | 8680, 9652 |
| 2 | 4340, 4826 |
| 2170, 2413 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8680,9652 By Matching Biggest Common Factor Method
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
Now, list down the factors of 9652
:1,2,4,19,38,76,127,254,508,2413,4826,9652
Greatest Common Factor
We found the factors 8680,9652 . The biggest common factor number is the GCF number.
So the greatest common factor 8680,9652 is 4.
Lets's calculate LCM of 431,7143
Given numbers has no common factors except 1. So, there LCM is their product i.e 3078633
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3078633
Therefore, the GCF of Fractions 8680/431,9652/7143 is 4/3078633
Least Common Multiple of 431,7143 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 431,7143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,7143) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,7143) x common factors =1 x 1 = 1
LCM(431,7143) = ( 431 × 7143 ) / 1
LCM(431,7143) = 3078633 / 1
LCM(431,7143) = 3078633
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FAQs on GCF of Fractions of 8680/431, 9652/7143
1. What is the HCF of 8680,9652?
The HCF of 8680,9652 is 4
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 8680/431, 9652/7143?
Answer: GCF of Numerators as per given numbers 8680/431, 9652/7143 is
GCF of Numerators i.e. for 8680,9652 is 4
LCM of denominators i.e. for 431,7143 is 3078633.
Thus, GCF of Fractions is 4/3078633.Finally, GCF of Fractions for 8680/431, 9652/7143 is 4/3078633.