GCF of 28/492, 914/966, 669/967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/492, 914/966, 669/967 i.e 1/76598004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/492, 914/966, 669/967.
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 28/492,914/966,669/967?
Given fractions are 28/492,914/966,669/967
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 28/492,914/966,669/967, numerators are 28,914,669
Denominators are 492,966,967
The GCF of 28,914,669 is 1 .
LCM of 492,966,967 is 76598004.
The greatest common factor of 28/492,914/966,669/967 = [GCF of 28,914,669]/[LCM of 492,966,967]= 1/76598004
Therefore, the GCF of 28/492,914/966,669/967 is 1/76598004.
To find the highest common factor of 28,914,669, 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 914 are 1, 2, 457, 914
The factors of 669 are 1, 3, 223, 669
The HCF of 28,914,669 is 1.
Lets's calculate GCF of 28,914,669
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 28,914,669 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 914
:1,2,457,914
Now, list down the factors of 669
:1,3,223,669
Greatest Common Factor
We found the factors 28,914,669 . The biggest common factor number is the GCF number.
So the greatest common factor 28,914,669 is 1.
Lets's calculate LCM of 492,966,967
| 2 | 492, 966, 967 |
| 3 | 246, 483, 967 |
| 82, 161, 967 |
∴ So the LCM of the given numbers is 2 x 3 x 82 x 161 x 967 = 76598004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76598004
Therefore, the GCF of Fractions 28/492,914/966,669/967 is 1/76598004
Least Common Multiple of 492,966,967 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 492,966,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,966,967) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(492,966,967) x common factors =1 x 6 = 6
LCM(492,966,967) = ( 492 × 966 × 967 ) / 6
LCM(492,966,967) = 459588024 / 6
LCM(492,966,967) = 76598004
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 28/492, 914/966, 669/967
1. What is the HCF of 28,914,669?
The HCF of 28,914,669 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 28/492, 914/966, 669/967?
Answer: GCF of Numerators as per given numbers 28/492, 914/966, 669/967 is
GCF of Numerators i.e. for 28,914,669 is 1
LCM of denominators i.e. for 492,966,967 is 76598004.
Thus, GCF of Fractions is 1/76598004.Finally, GCF of Fractions for 28/492, 914/966, 669/967 is 1/76598004.