GCF of 4874/274, 3632/1566
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4874/274, 3632/1566 i.e 2/214542 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4874/274, 3632/1566.
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 4874/274,3632/1566?
Given fractions are 4874/274,3632/1566
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 4874/274,3632/1566, numerators are 4874,3632
Denominators are 274,1566
The GCF of 4874,3632 is 2 .
LCM of 274,1566 is 214542.
The greatest common factor of 4874/274,3632/1566 = [GCF of 4874,3632]/[LCM of 274,1566]= 2/214542
Therefore, the GCF of 4874/274,3632/1566 is 2/214542.
To find the highest common factor of 4874,3632, we have to find the factors of both numbers and list the highest common factor.
The factors of 4874 are 1, 2, 2437, 4874
The factors of 3632 are 1, 2, 4, 8, 16, 227, 454, 908, 1816, 3632
The HCF of 4874,3632 is 2.
Lets's calculate GCF of 4874,3632
| 2 | 4874, 3632 |
| 2437, 1816 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4874,3632 By Matching Biggest Common Factor Method
Now, list down the factors of 4874
:1,2,2437,4874
Now, list down the factors of 3632
:1,2,4,8,16,227,454,908,1816,3632
Greatest Common Factor
We found the factors 4874,3632 . The biggest common factor number is the GCF number.
So the greatest common factor 4874,3632 is 2.
Lets's calculate LCM of 274,1566
| 2 | 274, 1566 |
| 137, 783 |
∴ So the LCM of the given numbers is 2 x 137 x 783 = 214542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/214542
Therefore, the GCF of Fractions 4874/274,3632/1566 is 2/214542
Least Common Multiple of 274,1566 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 274,1566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,1566) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(274,1566) x common factors =2 x 1 = 2
LCM(274,1566) = ( 274 × 1566 ) / 2
LCM(274,1566) = 429084 / 2
LCM(274,1566) = 214542
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FAQs on GCF of Fractions of 4874/274, 3632/1566
1. What is the HCF of 4874,3632?
The HCF of 4874,3632 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 4874/274, 3632/1566?
Answer: GCF of Numerators as per given numbers 4874/274, 3632/1566 is
GCF of Numerators i.e. for 4874,3632 is 2
LCM of denominators i.e. for 274,1566 is 214542.
Thus, GCF of Fractions is 2/214542.Finally, GCF of Fractions for 4874/274, 3632/1566 is 2/214542.