GCF of 5093/632, 2772/3436
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5093/632, 2772/3436 i.e 11/542888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5093/632, 2772/3436.
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 5093/632,2772/3436?
Given fractions are 5093/632,2772/3436
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 5093/632,2772/3436, numerators are 5093,2772
Denominators are 632,3436
The GCF of 5093,2772 is 11 .
LCM of 632,3436 is 542888.
The greatest common factor of 5093/632,2772/3436 = [GCF of 5093,2772]/[LCM of 632,3436]= 11/542888
Therefore, the GCF of 5093/632,2772/3436 is 11/542888.
To find the highest common factor of 5093,2772, we have to find the factors of both numbers and list the highest common factor.
The factors of 5093 are 1, 11, 463, 5093
The factors of 2772 are 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386, 2772
The HCF of 5093,2772 is 11.
Lets's calculate GCF of 5093,2772
| 11 | 5093, 2772 |
| 463, 252 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 5093,2772 By Matching Biggest Common Factor Method
Now, list down the factors of 5093
:1,11,463,5093
Now, list down the factors of 2772
:1,2,3,4,6,7,9,11,12,14,18,21,22,28,33,36,42,44,63,66,77,84,99,126,132,154,198,231,252,308,396,462,693,924,1386,2772
Greatest Common Factor
We found the factors 5093,2772 . The biggest common factor number is the GCF number.
So the greatest common factor 5093,2772 is 11.
Lets's calculate LCM of 632,3436
| 2 | 632, 3436 |
| 2 | 316, 1718 |
| 158, 859 |
∴ So the LCM of the given numbers is 2 x 2 x 158 x 859 = 542888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/542888
Therefore, the GCF of Fractions 5093/632,2772/3436 is 11/542888
Least Common Multiple of 632,3436 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 632,3436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,3436) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(632,3436) x common factors =4 x 1 = 4
LCM(632,3436) = ( 632 × 3436 ) / 4
LCM(632,3436) = 2171552 / 4
LCM(632,3436) = 542888
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FAQs on GCF of Fractions of 5093/632, 2772/3436
1. What is the HCF of 5093,2772?
The HCF of 5093,2772 is 11
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 5093/632, 2772/3436?
Answer: GCF of Numerators as per given numbers 5093/632, 2772/3436 is
GCF of Numerators i.e. for 5093,2772 is 11
LCM of denominators i.e. for 632,3436 is 542888.
Thus, GCF of Fractions is 11/542888.Finally, GCF of Fractions for 5093/632, 2772/3436 is 11/542888.