GCF of 8748/284, 8358/8118
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8748/284, 8358/8118 i.e 6/1152756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8748/284, 8358/8118.
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 8748/284,8358/8118?
Given fractions are 8748/284,8358/8118
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 8748/284,8358/8118, numerators are 8748,8358
Denominators are 284,8118
The GCF of 8748,8358 is 6 .
LCM of 284,8118 is 1152756.
The greatest common factor of 8748/284,8358/8118 = [GCF of 8748,8358]/[LCM of 284,8118]= 6/1152756
Therefore, the GCF of 8748/284,8358/8118 is 6/1152756.
To find the highest common factor of 8748,8358, we have to find the factors of both numbers and list the highest common factor.
The factors of 8748 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2187, 2916, 4374, 8748
The factors of 8358 are 1, 2, 3, 6, 7, 14, 21, 42, 199, 398, 597, 1194, 1393, 2786, 4179, 8358
The HCF of 8748,8358 is 6.
Lets's calculate GCF of 8748,8358
| 2 | 8748, 8358 |
| 3 | 4374, 4179 |
| 1458, 1393 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8748,8358 By Matching Biggest Common Factor Method
Now, list down the factors of 8748
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,729,972,1458,2187,2916,4374,8748
Now, list down the factors of 8358
:1,2,3,6,7,14,21,42,199,398,597,1194,1393,2786,4179,8358
Greatest Common Factor
We found the factors 8748,8358 . The biggest common factor number is the GCF number.
So the greatest common factor 8748,8358 is 6.
Lets's calculate LCM of 284,8118
| 2 | 284, 8118 |
| 142, 4059 |
∴ So the LCM of the given numbers is 2 x 142 x 4059 = 1152756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1152756
Therefore, the GCF of Fractions 8748/284,8358/8118 is 6/1152756
Least Common Multiple of 284,8118 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 284,8118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,8118) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(284,8118) x common factors =2 x 1 = 2
LCM(284,8118) = ( 284 × 8118 ) / 2
LCM(284,8118) = 2305512 / 2
LCM(284,8118) = 1152756
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FAQs on GCF of Fractions of 8748/284, 8358/8118
1. What is the HCF of 8748,8358?
The HCF of 8748,8358 is 6
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 8748/284, 8358/8118?
Answer: GCF of Numerators as per given numbers 8748/284, 8358/8118 is
GCF of Numerators i.e. for 8748,8358 is 6
LCM of denominators i.e. for 284,8118 is 1152756.
Thus, GCF of Fractions is 6/1152756.Finally, GCF of Fractions for 8748/284, 8358/8118 is 6/1152756.