GCF of 48/187, 822/451, 724/649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 48/187, 822/451, 724/649 i.e 2/452353 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/187, 822/451, 724/649.
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 48/187,822/451,724/649?
Given fractions are 48/187,822/451,724/649
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 48/187,822/451,724/649, numerators are 48,822,724
Denominators are 187,451,649
The GCF of 48,822,724 is 2 .
LCM of 187,451,649 is 452353.
The greatest common factor of 48/187,822/451,724/649 = [GCF of 48,822,724]/[LCM of 187,451,649]= 2/452353
Therefore, the GCF of 48/187,822/451,724/649 is 2/452353.
To find the highest common factor of 48,822,724, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822
The factors of 724 are 1, 2, 4, 181, 362, 724
The HCF of 48,822,724 is 2.
Lets's calculate GCF of 48,822,724
| 2 | 48, 822, 724 |
| 24, 411, 362 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 48,822,724 By Matching Biggest Common Factor Method
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 822
:1,2,3,6,137,274,411,822
Now, list down the factors of 724
:1,2,4,181,362,724
Greatest Common Factor
We found the factors 48,822,724 . The biggest common factor number is the GCF number.
So the greatest common factor 48,822,724 is 2.
Lets's calculate LCM of 187,451,649
| 11 | 187, 451, 649 |
| 17, 41, 59 |
∴ So the LCM of the given numbers is 11 x 17 x 41 x 59 = 452353
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/452353
Therefore, the GCF of Fractions 48/187,822/451,724/649 is 2/452353
Least Common Multiple of 187,451,649 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 187,451,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,451,649) = 11
common factors(in case of two or more numbers have common factors) = 11
GCF(187,451,649) x common factors =11 x 11 = 121
LCM(187,451,649) = ( 187 × 451 × 649 ) / 121
LCM(187,451,649) = 54734713 / 121
LCM(187,451,649) = 452353
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 48/187, 822/451, 724/649
1. What is the HCF of 48,822,724?
The HCF of 48,822,724 is 2
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 48/187, 822/451, 724/649?
Answer: GCF of Numerators as per given numbers 48/187, 822/451, 724/649 is
GCF of Numerators i.e. for 48,822,724 is 2
LCM of denominators i.e. for 187,451,649 is 452353.
Thus, GCF of Fractions is 2/452353.Finally, GCF of Fractions for 48/187, 822/451, 724/649 is 2/452353.