GCF of 2472/254, 5382/5442
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2472/254, 5382/5442 i.e 6/691134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2472/254, 5382/5442.
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 2472/254,5382/5442?
Given fractions are 2472/254,5382/5442
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 2472/254,5382/5442, numerators are 2472,5382
Denominators are 254,5442
The GCF of 2472,5382 is 6 .
LCM of 254,5442 is 691134.
The greatest common factor of 2472/254,5382/5442 = [GCF of 2472,5382]/[LCM of 254,5442]= 6/691134
Therefore, the GCF of 2472/254,5382/5442 is 6/691134.
To find the highest common factor of 2472,5382, we have to find the factors of both numbers and list the highest common factor.
The factors of 2472 are 1, 2, 3, 4, 6, 8, 12, 24, 103, 206, 309, 412, 618, 824, 1236, 2472
The factors of 5382 are 1, 2, 3, 6, 9, 13, 18, 23, 26, 39, 46, 69, 78, 117, 138, 207, 234, 299, 414, 598, 897, 1794, 2691, 5382
The HCF of 2472,5382 is 6.
Lets's calculate GCF of 2472,5382
| 2 | 2472, 5382 |
| 3 | 1236, 2691 |
| 412, 897 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2472,5382 By Matching Biggest Common Factor Method
Now, list down the factors of 2472
:1,2,3,4,6,8,12,24,103,206,309,412,618,824,1236,2472
Now, list down the factors of 5382
:1,2,3,6,9,13,18,23,26,39,46,69,78,117,138,207,234,299,414,598,897,1794,2691,5382
Greatest Common Factor
We found the factors 2472,5382 . The biggest common factor number is the GCF number.
So the greatest common factor 2472,5382 is 6.
Lets's calculate LCM of 254,5442
| 2 | 254, 5442 |
| 127, 2721 |
∴ So the LCM of the given numbers is 2 x 127 x 2721 = 691134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/691134
Therefore, the GCF of Fractions 2472/254,5382/5442 is 6/691134
Least Common Multiple of 254,5442 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 254,5442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,5442) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(254,5442) x common factors =2 x 1 = 2
LCM(254,5442) = ( 254 × 5442 ) / 2
LCM(254,5442) = 1382268 / 2
LCM(254,5442) = 691134
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FAQs on GCF of Fractions of 2472/254, 5382/5442
1. What is the HCF of 2472,5382?
The HCF of 2472,5382 is 6
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 2472/254, 5382/5442?
Answer: GCF of Numerators as per given numbers 2472/254, 5382/5442 is
GCF of Numerators i.e. for 2472,5382 is 6
LCM of denominators i.e. for 254,5442 is 691134.
Thus, GCF of Fractions is 6/691134.Finally, GCF of Fractions for 2472/254, 5382/5442 is 6/691134.