GCF of 8347/922, 8517/740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8347/922, 8517/740 i.e 17/341140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8347/922, 8517/740.
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 8347/922,8517/740?
Given fractions are 8347/922,8517/740
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 8347/922,8517/740, numerators are 8347,8517
Denominators are 922,740
The GCF of 8347,8517 is 17 .
LCM of 922,740 is 341140.
The greatest common factor of 8347/922,8517/740 = [GCF of 8347,8517]/[LCM of 922,740]= 17/341140
Therefore, the GCF of 8347/922,8517/740 is 17/341140.
To find the highest common factor of 8347,8517, we have to find the factors of both numbers and list the highest common factor.
The factors of 8347 are 1, 17, 491, 8347
The factors of 8517 are 1, 3, 17, 51, 167, 501, 2839, 8517
The HCF of 8347,8517 is 17.
Lets's calculate GCF of 8347,8517
| 17 | 8347, 8517 |
| 491, 501 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 8347,8517 By Matching Biggest Common Factor Method
Now, list down the factors of 8347
:1,17,491,8347
Now, list down the factors of 8517
:1,3,17,51,167,501,2839,8517
Greatest Common Factor
We found the factors 8347,8517 . The biggest common factor number is the GCF number.
So the greatest common factor 8347,8517 is 17.
Lets's calculate LCM of 922,740
| 2 | 922, 740 |
| 461, 370 |
∴ So the LCM of the given numbers is 2 x 461 x 370 = 341140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/341140
Therefore, the GCF of Fractions 8347/922,8517/740 is 17/341140
Least Common Multiple of 922,740 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 922,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,740) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(922,740) x common factors =2 x 1 = 2
LCM(922,740) = ( 922 × 740 ) / 2
LCM(922,740) = 682280 / 2
LCM(922,740) = 341140
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FAQs on GCF of Fractions of 8347/922, 8517/740
1. What is the HCF of 8347,8517?
The HCF of 8347,8517 is 17
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 8347/922, 8517/740?
Answer: GCF of Numerators as per given numbers 8347/922, 8517/740 is
GCF of Numerators i.e. for 8347,8517 is 17
LCM of denominators i.e. for 922,740 is 341140.
Thus, GCF of Fractions is 17/341140.Finally, GCF of Fractions for 8347/922, 8517/740 is 17/341140.