GCF of 8883/628, 8742/5116
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8883/628, 8742/5116 i.e 141/803212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8883/628, 8742/5116.
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 8883/628,8742/5116?
Given fractions are 8883/628,8742/5116
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 8883/628,8742/5116, numerators are 8883,8742
Denominators are 628,5116
The GCF of 8883,8742 is 141 .
LCM of 628,5116 is 803212.
The greatest common factor of 8883/628,8742/5116 = [GCF of 8883,8742]/[LCM of 628,5116]= 141/803212
Therefore, the GCF of 8883/628,8742/5116 is 141/803212.
To find the highest common factor of 8883,8742, we have to find the factors of both numbers and list the highest common factor.
The factors of 8883 are 1, 3, 7, 9, 21, 27, 47, 63, 141, 189, 329, 423, 987, 1269, 2961, 8883
The factors of 8742 are 1, 2, 3, 6, 31, 47, 62, 93, 94, 141, 186, 282, 1457, 2914, 4371, 8742
The HCF of 8883,8742 is 141.
Lets's calculate GCF of 8883,8742
| 3 | 8883, 8742 |
| 47 | 2961, 2914 |
| 63, 62 |
∴ So the GCF of the given numbers is 3 x 47 = 141
Greatest Common Factor of 8883,8742 By Matching Biggest Common Factor Method
Now, list down the factors of 8883
:1,3,7,9,21,27,47,63,141,189,329,423,987,1269,2961,8883
Now, list down the factors of 8742
:1,2,3,6,31,47,62,93,94,141,186,282,1457,2914,4371,8742
Greatest Common Factor
We found the factors 8883,8742 . The biggest common factor number is the GCF number.
So the greatest common factor 8883,8742 is 141.
Lets's calculate LCM of 628,5116
| 2 | 628, 5116 |
| 2 | 314, 2558 |
| 157, 1279 |
∴ So the LCM of the given numbers is 2 x 2 x 157 x 1279 = 803212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 141/803212
Therefore, the GCF of Fractions 8883/628,8742/5116 is 141/803212
Least Common Multiple of 628,5116 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 628,5116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,5116) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(628,5116) x common factors =4 x 1 = 4
LCM(628,5116) = ( 628 × 5116 ) / 4
LCM(628,5116) = 3212848 / 4
LCM(628,5116) = 803212
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FAQs on GCF of Fractions of 8883/628, 8742/5116
1. What is the HCF of 8883,8742?
The HCF of 8883,8742 is 141
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 8883/628, 8742/5116?
Answer: GCF of Numerators as per given numbers 8883/628, 8742/5116 is
GCF of Numerators i.e. for 8883,8742 is 141
LCM of denominators i.e. for 628,5116 is 803212.
Thus, GCF of Fractions is 141/803212.Finally, GCF of Fractions for 8883/628, 8742/5116 is 141/803212.