GCF of 630/852, 574/144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 630/852, 574/144 i.e 14/10224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 630/852, 574/144.
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 630/852,574/144?
Given fractions are 630/852,574/144
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 630/852,574/144, numerators are 630,574
Denominators are 852,144
The GCF of 630,574 is 14 .
LCM of 852,144 is 10224.
The greatest common factor of 630/852,574/144 = [GCF of 630,574]/[LCM of 852,144]= 14/10224
Therefore, the GCF of 630/852,574/144 is 14/10224.
To find the highest common factor of 630,574, we have to find the factors of both numbers and list the highest common factor.
The factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
The factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574
The HCF of 630,574 is 14.
Lets's calculate GCF of 630,574
| 2 | 630, 574 |
| 7 | 315, 287 |
| 45, 41 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 630,574 By Matching Biggest Common Factor Method
Now, list down the factors of 630
:1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Now, list down the factors of 574
:1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 630,574 . The biggest common factor number is the GCF number.
So the greatest common factor 630,574 is 14.
Lets's calculate LCM of 852,144
| 2 | 852, 144 |
| 2 | 426, 72 |
| 3 | 213, 36 |
| 71, 12 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 71 x 12 = 10224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/10224
Therefore, the GCF of Fractions 630/852,574/144 is 14/10224
Least Common Multiple of 852,144 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 852,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(852,144) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(852,144) x common factors =12 x 1 = 12
LCM(852,144) = ( 852 × 144 ) / 12
LCM(852,144) = 122688 / 12
LCM(852,144) = 10224
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FAQs on GCF of Fractions of 630/852, 574/144
1. What is the HCF of 630,574?
The HCF of 630,574 is 14
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 630/852, 574/144?
Answer: GCF of Numerators as per given numbers 630/852, 574/144 is
GCF of Numerators i.e. for 630,574 is 14
LCM of denominators i.e. for 852,144 is 10224.
Thus, GCF of Fractions is 14/10224.Finally, GCF of Fractions for 630/852, 574/144 is 14/10224.