GCF of 700/18, 779/47, 168/14
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 700/18, 779/47, 168/14 i.e 1/5922 easily. The following is the detailed procedure to determine the greatest common factor of fractions 700/18, 779/47, 168/14.
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 700/18,779/47,168/14?
Given fractions are 700/18,779/47,168/14
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 700/18,779/47,168/14, numerators are 700,779,168
Denominators are 18,47,14
The GCF of 700,779,168 is 1 .
LCM of 18,47,14 is 5922.
The greatest common factor of 700/18,779/47,168/14 = [GCF of 700,779,168]/[LCM of 18,47,14]= 1/5922
Therefore, the GCF of 700/18,779/47,168/14 is 1/5922.
To find the highest common factor of 700,779,168, we have to find the factors of both numbers and list the highest common factor.
The factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
The factors of 779 are 1, 19, 41, 779
The factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
The HCF of 700,779,168 is 1.
Lets's calculate GCF of 700,779,168
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 700,779,168 By Matching Biggest Common Factor Method
Now, list down the factors of 700
:1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Now, list down the factors of 779
:1,19,41,779
Now, list down the factors of 168
:1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 700,779,168 . The biggest common factor number is the GCF number.
So the greatest common factor 700,779,168 is 1.
Lets's calculate LCM of 18,47,14
| 2 | 18, 47, 14 |
| 9, 47, 7 |
∴ So the LCM of the given numbers is 2 x 9 x 47 x 7 = 5922
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5922
Therefore, the GCF of Fractions 700/18,779/47,168/14 is 1/5922
Least Common Multiple of 18,47,14 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 18,47,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,47,14) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(18,47,14) x common factors =1 x 2 = 2
LCM(18,47,14) = ( 18 × 47 × 14 ) / 2
LCM(18,47,14) = 11844 / 2
LCM(18,47,14) = 5922
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 700/18, 779/47, 168/14
1. What is the HCF of 700,779,168?
The HCF of 700,779,168 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 700/18, 779/47, 168/14?
Answer: GCF of Numerators as per given numbers 700/18, 779/47, 168/14 is
GCF of Numerators i.e. for 700,779,168 is 1
LCM of denominators i.e. for 18,47,14 is 5922.
Thus, GCF of Fractions is 1/5922.Finally, GCF of Fractions for 700/18, 779/47, 168/14 is 1/5922.