GCF of 929/174, 6167/5456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 929/174, 6167/5456 i.e 1/474672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 929/174, 6167/5456.
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 929/174,6167/5456?
Given fractions are 929/174,6167/5456
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 929/174,6167/5456, numerators are 929,6167
Denominators are 174,5456
The GCF of 929,6167 is 1 .
LCM of 174,5456 is 474672.
The greatest common factor of 929/174,6167/5456 = [GCF of 929,6167]/[LCM of 174,5456]= 1/474672
Therefore, the GCF of 929/174,6167/5456 is 1/474672.
To find the highest common factor of 929,6167, we have to find the factors of both numbers and list the highest common factor.
The factors of 929 are 1, 929
The factors of 6167 are 1, 7, 881, 6167
The HCF of 929,6167 is 1.
Lets's calculate GCF of 929,6167
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 929,6167 By Matching Biggest Common Factor Method
Now, list down the factors of 929
:1,929
Now, list down the factors of 6167
:1,7,881,6167
Greatest Common Factor
We found the factors 929,6167 . The biggest common factor number is the GCF number.
So the greatest common factor 929,6167 is 1.
Lets's calculate LCM of 174,5456
| 2 | 174, 5456 |
| 87, 2728 |
∴ So the LCM of the given numbers is 2 x 87 x 2728 = 474672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/474672
Therefore, the GCF of Fractions 929/174,6167/5456 is 1/474672
Least Common Multiple of 174,5456 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 174,5456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,5456) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(174,5456) x common factors =2 x 1 = 2
LCM(174,5456) = ( 174 × 5456 ) / 2
LCM(174,5456) = 949344 / 2
LCM(174,5456) = 474672
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FAQs on GCF of Fractions of 929/174, 6167/5456
1. What is the HCF of 929,6167?
The HCF of 929,6167 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 929/174, 6167/5456?
Answer: GCF of Numerators as per given numbers 929/174, 6167/5456 is
GCF of Numerators i.e. for 929,6167 is 1
LCM of denominators i.e. for 174,5456 is 474672.
Thus, GCF of Fractions is 1/474672.Finally, GCF of Fractions for 929/174, 6167/5456 is 1/474672.