GCF of 64/651, 92/215, 925/643
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 64/651, 92/215, 925/643 i.e 1/89997495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/651, 92/215, 925/643.
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 64/651,92/215,925/643?
Given fractions are 64/651,92/215,925/643
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 64/651,92/215,925/643, numerators are 64,92,925
Denominators are 651,215,643
The GCF of 64,92,925 is 1 .
LCM of 651,215,643 is 89997495.
The greatest common factor of 64/651,92/215,925/643 = [GCF of 64,92,925]/[LCM of 651,215,643]= 1/89997495
Therefore, the GCF of 64/651,92/215,925/643 is 1/89997495.
To find the highest common factor of 64,92,925, 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 92 are 1, 2, 4, 23, 46, 92
The factors of 925 are 1, 5, 25, 37, 185, 925
The HCF of 64,92,925 is 1.
Lets's calculate GCF of 64,92,925
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 64,92,925 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 92
:1,2,4,23,46,92
Now, list down the factors of 925
:1,5,25,37,185,925
Greatest Common Factor
We found the factors 64,92,925 . The biggest common factor number is the GCF number.
So the greatest common factor 64,92,925 is 1.
Lets's calculate LCM of 651,215,643
Given numbers has no common factors except 1. So, there LCM is their product i.e 89997495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89997495
Therefore, the GCF of Fractions 64/651,92/215,925/643 is 1/89997495
Least Common Multiple of 651,215,643 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 651,215,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,215,643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(651,215,643) x common factors =1 x 1 = 1
LCM(651,215,643) = ( 651 × 215 × 643 ) / 1
LCM(651,215,643) = 89997495 / 1
LCM(651,215,643) = 89997495
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FAQs on GCF of Fractions of 64/651, 92/215, 925/643
1. What is the HCF of 64,92,925?
The HCF of 64,92,925 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 64/651, 92/215, 925/643?
Answer: GCF of Numerators as per given numbers 64/651, 92/215, 925/643 is
GCF of Numerators i.e. for 64,92,925 is 1
LCM of denominators i.e. for 651,215,643 is 89997495.
Thus, GCF of Fractions is 1/89997495.Finally, GCF of Fractions for 64/651, 92/215, 925/643 is 1/89997495.