GCF of 8608/894, 8992/3758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8608/894, 8992/3758 i.e 32/1679826 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8608/894, 8992/3758.
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Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8608/894,8992/3758?
Given fractions are 8608/894,8992/3758
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 8608/894,8992/3758, numerators are 8608,8992
Denominators are 894,3758
The GCF of 8608,8992 is 32 .
LCM of 894,3758 is 1679826.
The greatest common factor of 8608/894,8992/3758 = [GCF of 8608,8992]/[LCM of 894,3758]= 32/1679826
Therefore, the GCF of 8608/894,8992/3758 is 32/1679826.
To find the highest common factor of 8608,8992, we have to find the factors of both numbers and list the highest common factor.
The factors of 8608 are 1, 2, 4, 8, 16, 32, 269, 538, 1076, 2152, 4304, 8608
The factors of 8992 are 1, 2, 4, 8, 16, 32, 281, 562, 1124, 2248, 4496, 8992
The HCF of 8608,8992 is 32.
Lets's calculate GCF of 8608,8992
| 2 | 8608, 8992 |
| 2 | 4304, 4496 |
| 2 | 2152, 2248 |
| 2 | 1076, 1124 |
| 2 | 538, 562 |
| 269, 281 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 8608,8992 By Matching Biggest Common Factor Method
Now, list down the factors of 8608
:1,2,4,8,16,32,269,538,1076,2152,4304,8608
Now, list down the factors of 8992
:1,2,4,8,16,32,281,562,1124,2248,4496,8992
Greatest Common Factor
We found the factors 8608,8992 . The biggest common factor number is the GCF number.
So the greatest common factor 8608,8992 is 32.
Lets's calculate LCM of 894,3758
| 2 | 894, 3758 |
| 447, 1879 |
∴ So the LCM of the given numbers is 2 x 447 x 1879 = 1679826
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/1679826
Therefore, the GCF of Fractions 8608/894,8992/3758 is 32/1679826
Least Common Multiple of 894,3758 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 894,3758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,3758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(894,3758) x common factors =2 x 1 = 2
LCM(894,3758) = ( 894 × 3758 ) / 2
LCM(894,3758) = 3359652 / 2
LCM(894,3758) = 1679826
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FAQs on GCF of Fractions of 8608/894, 8992/3758
1. What is the HCF of 8608,8992?
The HCF of 8608,8992 is 32
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 8608/894, 8992/3758?
Answer: GCF of Numerators as per given numbers 8608/894, 8992/3758 is
GCF of Numerators i.e. for 8608,8992 is 32
LCM of denominators i.e. for 894,3758 is 1679826.
Thus, GCF of Fractions is 32/1679826.Finally, GCF of Fractions for 8608/894, 8992/3758 is 32/1679826.