GCF of 2244/254, 3884/5419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2244/254, 3884/5419 i.e 4/1376426 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2244/254, 3884/5419.
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 2244/254,3884/5419?
Given fractions are 2244/254,3884/5419
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 2244/254,3884/5419, numerators are 2244,3884
Denominators are 254,5419
The GCF of 2244,3884 is 4 .
LCM of 254,5419 is 1376426.
The greatest common factor of 2244/254,3884/5419 = [GCF of 2244,3884]/[LCM of 254,5419]= 4/1376426
Therefore, the GCF of 2244/254,3884/5419 is 4/1376426.
To find the highest common factor of 2244,3884, we have to find the factors of both numbers and list the highest common factor.
The factors of 2244 are 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122, 2244
The factors of 3884 are 1, 2, 4, 971, 1942, 3884
The HCF of 2244,3884 is 4.
Lets's calculate GCF of 2244,3884
| 2 | 2244, 3884 |
| 2 | 1122, 1942 |
| 561, 971 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2244,3884 By Matching Biggest Common Factor Method
Now, list down the factors of 2244
:1,2,3,4,6,11,12,17,22,33,34,44,51,66,68,102,132,187,204,374,561,748,1122,2244
Now, list down the factors of 3884
:1,2,4,971,1942,3884
Greatest Common Factor
We found the factors 2244,3884 . The biggest common factor number is the GCF number.
So the greatest common factor 2244,3884 is 4.
Lets's calculate LCM of 254,5419
Given numbers has no common factors except 1. So, there LCM is their product i.e 1376426
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1376426
Therefore, the GCF of Fractions 2244/254,3884/5419 is 4/1376426
Least Common Multiple of 254,5419 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 254,5419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,5419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(254,5419) x common factors =1 x 1 = 1
LCM(254,5419) = ( 254 × 5419 ) / 1
LCM(254,5419) = 1376426 / 1
LCM(254,5419) = 1376426
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FAQs on GCF of Fractions of 2244/254, 3884/5419
1. What is the HCF of 2244,3884?
The HCF of 2244,3884 is 4
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 2244/254, 3884/5419?
Answer: GCF of Numerators as per given numbers 2244/254, 3884/5419 is
GCF of Numerators i.e. for 2244,3884 is 4
LCM of denominators i.e. for 254,5419 is 1376426.
Thus, GCF of Fractions is 4/1376426.Finally, GCF of Fractions for 2244/254, 3884/5419 is 4/1376426.