GCF of 672/621, 4728/4922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 672/621, 4728/4922 i.e 24/132894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 672/621, 4728/4922.
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 672/621,4728/4922?
Given fractions are 672/621,4728/4922
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 672/621,4728/4922, numerators are 672,4728
Denominators are 621,4922
The GCF of 672,4728 is 24 .
LCM of 621,4922 is 132894.
The greatest common factor of 672/621,4728/4922 = [GCF of 672,4728]/[LCM of 621,4922]= 24/132894
Therefore, the GCF of 672/621,4728/4922 is 24/132894.
To find the highest common factor of 672,4728, we have to find the factors of both numbers and list the highest common factor.
The factors of 672 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
The factors of 4728 are 1, 2, 3, 4, 6, 8, 12, 24, 197, 394, 591, 788, 1182, 1576, 2364, 4728
The HCF of 672,4728 is 24.
Lets's calculate GCF of 672,4728
| 2 | 672, 4728 |
| 2 | 336, 2364 |
| 2 | 168, 1182 |
| 3 | 84, 591 |
| 28, 197 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 672,4728 By Matching Biggest Common Factor Method
Now, list down the factors of 672
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Now, list down the factors of 4728
:1,2,3,4,6,8,12,24,197,394,591,788,1182,1576,2364,4728
Greatest Common Factor
We found the factors 672,4728 . The biggest common factor number is the GCF number.
So the greatest common factor 672,4728 is 24.
Lets's calculate LCM of 621,4922
| 23 | 621, 4922 |
| 27, 214 |
∴ So the LCM of the given numbers is 23 x 27 x 214 = 132894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/132894
Therefore, the GCF of Fractions 672/621,4728/4922 is 24/132894
Least Common Multiple of 621,4922 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 621,4922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,4922) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(621,4922) x common factors =23 x 1 = 23
LCM(621,4922) = ( 621 × 4922 ) / 23
LCM(621,4922) = 3056562 / 23
LCM(621,4922) = 132894
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 672/621, 4728/4922
1. What is the HCF of 672,4728?
The HCF of 672,4728 is 24
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 672/621, 4728/4922?
Answer: GCF of Numerators as per given numbers 672/621, 4728/4922 is
GCF of Numerators i.e. for 672,4728 is 24
LCM of denominators i.e. for 621,4922 is 132894.
Thus, GCF of Fractions is 24/132894.Finally, GCF of Fractions for 672/621, 4728/4922 is 24/132894.