GCF of 92/226, 76/448, 929/722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 92/226, 76/448, 929/722 i.e 1/18275264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/226, 76/448, 929/722.
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 92/226,76/448,929/722?
Given fractions are 92/226,76/448,929/722
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 92/226,76/448,929/722, numerators are 92,76,929
Denominators are 226,448,722
The GCF of 92,76,929 is 1 .
LCM of 226,448,722 is 18275264.
The greatest common factor of 92/226,76/448,929/722 = [GCF of 92,76,929]/[LCM of 226,448,722]= 1/18275264
Therefore, the GCF of 92/226,76/448,929/722 is 1/18275264.
To find the highest common factor of 92,76,929, 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 76 are 1, 2, 4, 19, 38, 76
The factors of 929 are 1, 929
The HCF of 92,76,929 is 1.
Lets's calculate GCF of 92,76,929
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 92,76,929 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 76
:1,2,4,19,38,76
Now, list down the factors of 929
:1,929
Greatest Common Factor
We found the factors 92,76,929 . The biggest common factor number is the GCF number.
So the greatest common factor 92,76,929 is 1.
Lets's calculate LCM of 226,448,722
| 2 | 226, 448, 722 |
| 113, 224, 361 |
∴ So the LCM of the given numbers is 2 x 113 x 224 x 361 = 18275264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18275264
Therefore, the GCF of Fractions 92/226,76/448,929/722 is 1/18275264
Least Common Multiple of 226,448,722 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 226,448,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,448,722) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(226,448,722) x common factors =2 x 2 = 4
LCM(226,448,722) = ( 226 × 448 × 722 ) / 4
LCM(226,448,722) = 73101056 / 4
LCM(226,448,722) = 18275264
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FAQs on GCF of Fractions of 92/226, 76/448, 929/722
1. What is the HCF of 92,76,929?
The HCF of 92,76,929 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 92/226, 76/448, 929/722?
Answer: GCF of Numerators as per given numbers 92/226, 76/448, 929/722 is
GCF of Numerators i.e. for 92,76,929 is 1
LCM of denominators i.e. for 226,448,722 is 18275264.
Thus, GCF of Fractions is 1/18275264.Finally, GCF of Fractions for 92/226, 76/448, 929/722 is 1/18275264.