GCF of 28/672, 92/333, 407/767
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/672, 92/333, 407/767 i.e 1/57212064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/672, 92/333, 407/767.
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 28/672,92/333,407/767?
Given fractions are 28/672,92/333,407/767
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 28/672,92/333,407/767, numerators are 28,92,407
Denominators are 672,333,767
The GCF of 28,92,407 is 1 .
LCM of 672,333,767 is 57212064.
The greatest common factor of 28/672,92/333,407/767 = [GCF of 28,92,407]/[LCM of 672,333,767]= 1/57212064
Therefore, the GCF of 28/672,92/333,407/767 is 1/57212064.
To find the highest common factor of 28,92,407, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 407 are 1, 11, 37, 407
The HCF of 28,92,407 is 1.
Lets's calculate GCF of 28,92,407
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 28,92,407 By Matching Biggest Common Factor Method
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 407
:1,11,37,407
Greatest Common Factor
We found the factors 28,92,407 . The biggest common factor number is the GCF number.
So the greatest common factor 28,92,407 is 1.
Lets's calculate LCM of 672,333,767
| 3 | 672, 333, 767 |
| 224, 111, 767 |
∴ So the LCM of the given numbers is 3 x 224 x 111 x 767 = 57212064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57212064
Therefore, the GCF of Fractions 28/672,92/333,407/767 is 1/57212064
Least Common Multiple of 672,333,767 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 672,333,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,333,767) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(672,333,767) x common factors =1 x 3 = 3
LCM(672,333,767) = ( 672 × 333 × 767 ) / 3
LCM(672,333,767) = 171636192 / 3
LCM(672,333,767) = 57212064
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 28/672, 92/333, 407/767
1. What is the HCF of 28,92,407?
The HCF of 28,92,407 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 28/672, 92/333, 407/767?
Answer: GCF of Numerators as per given numbers 28/672, 92/333, 407/767 is
GCF of Numerators i.e. for 28,92,407 is 1
LCM of denominators i.e. for 672,333,767 is 57212064.
Thus, GCF of Fractions is 1/57212064.Finally, GCF of Fractions for 28/672, 92/333, 407/767 is 1/57212064.