GCF of 8108/971, 9702/7431
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8108/971, 9702/7431 i.e 2/7215501 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8108/971, 9702/7431.
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 8108/971,9702/7431?
Given fractions are 8108/971,9702/7431
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 8108/971,9702/7431, numerators are 8108,9702
Denominators are 971,7431
The GCF of 8108,9702 is 2 .
LCM of 971,7431 is 7215501.
The greatest common factor of 8108/971,9702/7431 = [GCF of 8108,9702]/[LCM of 971,7431]= 2/7215501
Therefore, the GCF of 8108/971,9702/7431 is 2/7215501.
To find the highest common factor of 8108,9702, we have to find the factors of both numbers and list the highest common factor.
The factors of 8108 are 1, 2, 4, 2027, 4054, 8108
The factors of 9702 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 49, 63, 66, 77, 98, 99, 126, 147, 154, 198, 231, 294, 441, 462, 539, 693, 882, 1078, 1386, 1617, 3234, 4851, 9702
The HCF of 8108,9702 is 2.
Lets's calculate GCF of 8108,9702
| 2 | 8108, 9702 |
| 4054, 4851 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8108,9702 By Matching Biggest Common Factor Method
Now, list down the factors of 8108
:1,2,4,2027,4054,8108
Now, list down the factors of 9702
:1,2,3,6,7,9,11,14,18,21,22,33,42,49,63,66,77,98,99,126,147,154,198,231,294,441,462,539,693,882,1078,1386,1617,3234,4851,9702
Greatest Common Factor
We found the factors 8108,9702 . The biggest common factor number is the GCF number.
So the greatest common factor 8108,9702 is 2.
Lets's calculate LCM of 971,7431
Given numbers has no common factors except 1. So, there LCM is their product i.e 7215501
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7215501
Therefore, the GCF of Fractions 8108/971,9702/7431 is 2/7215501
Least Common Multiple of 971,7431 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 971,7431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,7431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,7431) x common factors =1 x 1 = 1
LCM(971,7431) = ( 971 × 7431 ) / 1
LCM(971,7431) = 7215501 / 1
LCM(971,7431) = 7215501
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8108/971, 9702/7431
1. What is the HCF of 8108,9702?
The HCF of 8108,9702 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 8108/971, 9702/7431?
Answer: GCF of Numerators as per given numbers 8108/971, 9702/7431 is
GCF of Numerators i.e. for 8108,9702 is 2
LCM of denominators i.e. for 971,7431 is 7215501.
Thus, GCF of Fractions is 2/7215501.Finally, GCF of Fractions for 8108/971, 9702/7431 is 2/7215501.