GCF of 32/64, 158/21, 887/957
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 32/64, 158/21, 887/957 i.e 1/428736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 32/64, 158/21, 887/957.
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 32/64,158/21,887/957?
Given fractions are 32/64,158/21,887/957
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 32/64,158/21,887/957, numerators are 32,158,887
Denominators are 64,21,957
The GCF of 32,158,887 is 1 .
LCM of 64,21,957 is 428736.
The greatest common factor of 32/64,158/21,887/957 = [GCF of 32,158,887]/[LCM of 64,21,957]= 1/428736
Therefore, the GCF of 32/64,158/21,887/957 is 1/428736.
To find the highest common factor of 32,158,887, we have to find the factors of both numbers and list the highest common factor.
The factors of 32 are 1, 2, 4, 8, 16, 32
The factors of 158 are 1, 2, 79, 158
The factors of 887 are 1, 887
The HCF of 32,158,887 is 1.
Lets's calculate GCF of 32,158,887
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 32,158,887 By Matching Biggest Common Factor Method
Now, list down the factors of 32
:1,2,4,8,16,32
Now, list down the factors of 158
:1,2,79,158
Now, list down the factors of 887
:1,887
Greatest Common Factor
We found the factors 32,158,887 . The biggest common factor number is the GCF number.
So the greatest common factor 32,158,887 is 1.
Lets's calculate LCM of 64,21,957
| 3 | 64, 21, 957 |
| 64, 7, 319 |
∴ So the LCM of the given numbers is 3 x 64 x 7 x 319 = 428736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/428736
Therefore, the GCF of Fractions 32/64,158/21,887/957 is 1/428736
Least Common Multiple of 64,21,957 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 64,21,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,21,957) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(64,21,957) x common factors =1 x 3 = 3
LCM(64,21,957) = ( 64 × 21 × 957 ) / 3
LCM(64,21,957) = 1286208 / 3
LCM(64,21,957) = 428736
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FAQs on GCF of Fractions of 32/64, 158/21, 887/957
1. What is the HCF of 32,158,887?
The HCF of 32,158,887 is 1
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 32/64, 158/21, 887/957?
Answer: GCF of Numerators as per given numbers 32/64, 158/21, 887/957 is
GCF of Numerators i.e. for 32,158,887 is 1
LCM of denominators i.e. for 64,21,957 is 428736.
Thus, GCF of Fractions is 1/428736.Finally, GCF of Fractions for 32/64, 158/21, 887/957 is 1/428736.