GCF of 478/52, 480/28, 846/49
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 478/52, 480/28, 846/49 i.e 2/2548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 478/52, 480/28, 846/49.
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 478/52,480/28,846/49?
Given fractions are 478/52,480/28,846/49
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 478/52,480/28,846/49, numerators are 478,480,846
Denominators are 52,28,49
The GCF of 478,480,846 is 2 .
LCM of 52,28,49 is 2548.
The greatest common factor of 478/52,480/28,846/49 = [GCF of 478,480,846]/[LCM of 52,28,49]= 2/2548
Therefore, the GCF of 478/52,480/28,846/49 is 2/2548.
To find the highest common factor of 478,480,846, we have to find the factors of both numbers and list the highest common factor.
The factors of 478 are 1, 2, 239, 478
The factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
The HCF of 478,480,846 is 2.
Lets's calculate GCF of 478,480,846
| 2 | 478, 480, 846 |
| 239, 240, 423 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 478,480,846 By Matching Biggest Common Factor Method
Now, list down the factors of 478
:1,2,239,478
Now, list down the factors of 480
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Now, list down the factors of 846
:1,2,3,6,9,18,47,94,141,282,423,846
Greatest Common Factor
We found the factors 478,480,846 . The biggest common factor number is the GCF number.
So the greatest common factor 478,480,846 is 2.
Lets's calculate LCM of 52,28,49
| 2 | 52, 28, 49 |
| 2 | 26, 14, 49 |
| 7 | 13, 7, 49 |
| 13, 1, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 13 x 1 x 7 = 2548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2548
Therefore, the GCF of Fractions 478/52,480/28,846/49 is 2/2548
Least Common Multiple of 52,28,49 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 52,28,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,28,49) = 1
common factors(in case of two or more numbers have common factors) = 28
GCF(52,28,49) x common factors =1 x 28 = 28
LCM(52,28,49) = ( 52 × 28 × 49 ) / 28
LCM(52,28,49) = 71344 / 28
LCM(52,28,49) = 2548
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FAQs on GCF of Fractions of 478/52, 480/28, 846/49
1. What is the HCF of 478,480,846?
The HCF of 478,480,846 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 478/52, 480/28, 846/49?
Answer: GCF of Numerators as per given numbers 478/52, 480/28, 846/49 is
GCF of Numerators i.e. for 478,480,846 is 2
LCM of denominators i.e. for 52,28,49 is 2548.
Thus, GCF of Fractions is 2/2548.Finally, GCF of Fractions for 478/52, 480/28, 846/49 is 2/2548.