GCF of 64/32, 88/374, 808/314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 64/32, 88/374, 808/314 i.e 8/939488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/32, 88/374, 808/314.
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 64/32,88/374,808/314?
Given fractions are 64/32,88/374,808/314
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 64/32,88/374,808/314, numerators are 64,88,808
Denominators are 32,374,314
The GCF of 64,88,808 is 8 .
LCM of 32,374,314 is 939488.
The greatest common factor of 64/32,88/374,808/314 = [GCF of 64,88,808]/[LCM of 32,374,314]= 8/939488
Therefore, the GCF of 64/32,88/374,808/314 is 8/939488.
To find the highest common factor of 64,88,808, we have to find the factors of both numbers and list the highest common factor.
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88
The factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808
The HCF of 64,88,808 is 8.
Lets's calculate GCF of 64,88,808
| 2 | 64, 88, 808 |
| 2 | 32, 44, 404 |
| 2 | 16, 22, 202 |
| 8, 11, 101 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 64,88,808 By Matching Biggest Common Factor Method
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 88
:1,2,4,8,11,22,44,88
Now, list down the factors of 808
:1,2,4,8,101,202,404,808
Greatest Common Factor
We found the factors 64,88,808 . The biggest common factor number is the GCF number.
So the greatest common factor 64,88,808 is 8.
Lets's calculate LCM of 32,374,314
| 2 | 32, 374, 314 |
| 16, 187, 157 |
∴ So the LCM of the given numbers is 2 x 16 x 187 x 157 = 939488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/939488
Therefore, the GCF of Fractions 64/32,88/374,808/314 is 8/939488
Least Common Multiple of 32,374,314 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 32,374,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,374,314) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(32,374,314) x common factors =2 x 2 = 4
LCM(32,374,314) = ( 32 × 374 × 314 ) / 4
LCM(32,374,314) = 3757952 / 4
LCM(32,374,314) = 939488
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FAQs on GCF of Fractions of 64/32, 88/374, 808/314
1. What is the HCF of 64,88,808?
The HCF of 64,88,808 is 8
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 64/32, 88/374, 808/314?
Answer: GCF of Numerators as per given numbers 64/32, 88/374, 808/314 is
GCF of Numerators i.e. for 64,88,808 is 8
LCM of denominators i.e. for 32,374,314 is 939488.
Thus, GCF of Fractions is 8/939488.Finally, GCF of Fractions for 64/32, 88/374, 808/314 is 8/939488.