GCF of 8886/921, 7634/8901
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8886/921, 7634/8901 i.e 2/2732607 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8886/921, 7634/8901.
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 8886/921,7634/8901?
Given fractions are 8886/921,7634/8901
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 8886/921,7634/8901, numerators are 8886,7634
Denominators are 921,8901
The GCF of 8886,7634 is 2 .
LCM of 921,8901 is 2732607.
The greatest common factor of 8886/921,7634/8901 = [GCF of 8886,7634]/[LCM of 921,8901]= 2/2732607
Therefore, the GCF of 8886/921,7634/8901 is 2/2732607.
To find the highest common factor of 8886,7634, we have to find the factors of both numbers and list the highest common factor.
The factors of 8886 are 1, 2, 3, 6, 1481, 2962, 4443, 8886
The factors of 7634 are 1, 2, 11, 22, 347, 694, 3817, 7634
The HCF of 8886,7634 is 2.
Lets's calculate GCF of 8886,7634
| 2 | 8886, 7634 |
| 4443, 3817 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8886,7634 By Matching Biggest Common Factor Method
Now, list down the factors of 8886
:1,2,3,6,1481,2962,4443,8886
Now, list down the factors of 7634
:1,2,11,22,347,694,3817,7634
Greatest Common Factor
We found the factors 8886,7634 . The biggest common factor number is the GCF number.
So the greatest common factor 8886,7634 is 2.
Lets's calculate LCM of 921,8901
| 3 | 921, 8901 |
| 307, 2967 |
∴ So the LCM of the given numbers is 3 x 307 x 2967 = 2732607
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2732607
Therefore, the GCF of Fractions 8886/921,7634/8901 is 2/2732607
Least Common Multiple of 921,8901 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 921,8901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,8901) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(921,8901) x common factors =3 x 1 = 3
LCM(921,8901) = ( 921 × 8901 ) / 3
LCM(921,8901) = 8197821 / 3
LCM(921,8901) = 2732607
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FAQs on GCF of Fractions of 8886/921, 7634/8901
1. What is the HCF of 8886,7634?
The HCF of 8886,7634 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 8886/921, 7634/8901?
Answer: GCF of Numerators as per given numbers 8886/921, 7634/8901 is
GCF of Numerators i.e. for 8886,7634 is 2
LCM of denominators i.e. for 921,8901 is 2732607.
Thus, GCF of Fractions is 2/2732607.Finally, GCF of Fractions for 8886/921, 7634/8901 is 2/2732607.