GCF of 8906/387, 4628/198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8906/387, 4628/198 i.e 2/8514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8906/387, 4628/198.
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 8906/387,4628/198?
Given fractions are 8906/387,4628/198
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 8906/387,4628/198, numerators are 8906,4628
Denominators are 387,198
The GCF of 8906,4628 is 2 .
LCM of 387,198 is 8514.
The greatest common factor of 8906/387,4628/198 = [GCF of 8906,4628]/[LCM of 387,198]= 2/8514
Therefore, the GCF of 8906/387,4628/198 is 2/8514.
To find the highest common factor of 8906,4628, we have to find the factors of both numbers and list the highest common factor.
The factors of 8906 are 1, 2, 61, 73, 122, 146, 4453, 8906
The factors of 4628 are 1, 2, 4, 13, 26, 52, 89, 178, 356, 1157, 2314, 4628
The HCF of 8906,4628 is 2.
Lets's calculate GCF of 8906,4628
| 2 | 8906, 4628 |
| 4453, 2314 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8906,4628 By Matching Biggest Common Factor Method
Now, list down the factors of 8906
:1,2,61,73,122,146,4453,8906
Now, list down the factors of 4628
:1,2,4,13,26,52,89,178,356,1157,2314,4628
Greatest Common Factor
We found the factors 8906,4628 . The biggest common factor number is the GCF number.
So the greatest common factor 8906,4628 is 2.
Lets's calculate LCM of 387,198
| 3 | 387, 198 |
| 3 | 129, 66 |
| 43, 22 |
∴ So the LCM of the given numbers is 3 x 3 x 43 x 22 = 8514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8514
Therefore, the GCF of Fractions 8906/387,4628/198 is 2/8514
Least Common Multiple of 387,198 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 387,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,198) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(387,198) x common factors =9 x 1 = 9
LCM(387,198) = ( 387 × 198 ) / 9
LCM(387,198) = 76626 / 9
LCM(387,198) = 8514
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FAQs on GCF of Fractions of 8906/387, 4628/198
1. What is the HCF of 8906,4628?
The HCF of 8906,4628 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 8906/387, 4628/198?
Answer: GCF of Numerators as per given numbers 8906/387, 4628/198 is
GCF of Numerators i.e. for 8906,4628 is 2
LCM of denominators i.e. for 387,198 is 8514.
Thus, GCF of Fractions is 2/8514.Finally, GCF of Fractions for 8906/387, 4628/198 is 2/8514.