GCF of 20/788, 144/109, 692/824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 20/788, 144/109, 692/824 i.e 4/17693752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/788, 144/109, 692/824.
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 20/788,144/109,692/824?
Given fractions are 20/788,144/109,692/824
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 20/788,144/109,692/824, numerators are 20,144,692
Denominators are 788,109,824
The GCF of 20,144,692 is 4 .
LCM of 788,109,824 is 17693752.
The greatest common factor of 20/788,144/109,692/824 = [GCF of 20,144,692]/[LCM of 788,109,824]= 4/17693752
Therefore, the GCF of 20/788,144/109,692/824 is 4/17693752.
To find the highest common factor of 20,144,692, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
The factors of 692 are 1, 2, 4, 173, 346, 692
The HCF of 20,144,692 is 4.
Lets's calculate GCF of 20,144,692
| 2 | 20, 144, 692 |
| 2 | 10, 72, 346 |
| 5, 36, 173 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 20,144,692 By Matching Biggest Common Factor Method
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 144
:1,2,3,4,6,8,9,12,16,18,24,36,48,72,144
Now, list down the factors of 692
:1,2,4,173,346,692
Greatest Common Factor
We found the factors 20,144,692 . The biggest common factor number is the GCF number.
So the greatest common factor 20,144,692 is 4.
Lets's calculate LCM of 788,109,824
| 2 | 788, 109, 824 |
| 2 | 394, 109, 412 |
| 197, 109, 206 |
∴ So the LCM of the given numbers is 2 x 2 x 197 x 109 x 206 = 17693752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/17693752
Therefore, the GCF of Fractions 20/788,144/109,692/824 is 4/17693752
Least Common Multiple of 788,109,824 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 788,109,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,109,824) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(788,109,824) x common factors =1 x 4 = 4
LCM(788,109,824) = ( 788 × 109 × 824 ) / 4
LCM(788,109,824) = 70775008 / 4
LCM(788,109,824) = 17693752
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FAQs on GCF of Fractions of 20/788, 144/109, 692/824
1. What is the HCF of 20,144,692?
The HCF of 20,144,692 is 4
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 20/788, 144/109, 692/824?
Answer: GCF of Numerators as per given numbers 20/788, 144/109, 692/824 is
GCF of Numerators i.e. for 20,144,692 is 4
LCM of denominators i.e. for 788,109,824 is 17693752.
Thus, GCF of Fractions is 4/17693752.Finally, GCF of Fractions for 20/788, 144/109, 692/824 is 4/17693752.