GCF of 92/779, 525/184, 428/979
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 92/779, 525/184, 428/979 i.e 1/140325944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/779, 525/184, 428/979.
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 92/779,525/184,428/979?
Given fractions are 92/779,525/184,428/979
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 92/779,525/184,428/979, numerators are 92,525,428
Denominators are 779,184,979
The GCF of 92,525,428 is 1 .
LCM of 779,184,979 is 140325944.
The greatest common factor of 92/779,525/184,428/979 = [GCF of 92,525,428]/[LCM of 779,184,979]= 1/140325944
Therefore, the GCF of 92/779,525/184,428/979 is 1/140325944.
To find the highest common factor of 92,525,428, we have to find the factors of both numbers and list the highest common factor.
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
The factors of 428 are 1, 2, 4, 107, 214, 428
The HCF of 92,525,428 is 1.
Lets's calculate GCF of 92,525,428
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 92,525,428 By Matching Biggest Common Factor Method
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 525
:1,3,5,7,15,21,25,35,75,105,175,525
Now, list down the factors of 428
:1,2,4,107,214,428
Greatest Common Factor
We found the factors 92,525,428 . The biggest common factor number is the GCF number.
So the greatest common factor 92,525,428 is 1.
Lets's calculate LCM of 779,184,979
Given numbers has no common factors except 1. So, there LCM is their product i.e 140325944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/140325944
Therefore, the GCF of Fractions 92/779,525/184,428/979 is 1/140325944
Least Common Multiple of 779,184,979 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 779,184,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,184,979) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(779,184,979) x common factors =1 x 1 = 1
LCM(779,184,979) = ( 779 × 184 × 979 ) / 1
LCM(779,184,979) = 140325944 / 1
LCM(779,184,979) = 140325944
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FAQs on GCF of Fractions of 92/779, 525/184, 428/979
1. What is the HCF of 92,525,428?
The HCF of 92,525,428 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 92/779, 525/184, 428/979?
Answer: GCF of Numerators as per given numbers 92/779, 525/184, 428/979 is
GCF of Numerators i.e. for 92,525,428 is 1
LCM of denominators i.e. for 779,184,979 is 140325944.
Thus, GCF of Fractions is 1/140325944.Finally, GCF of Fractions for 92/779, 525/184, 428/979 is 1/140325944.