GCF of 1139/164, 4284/1554
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1139/164, 4284/1554 i.e 17/127428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1139/164, 4284/1554.
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 1139/164,4284/1554?
Given fractions are 1139/164,4284/1554
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 1139/164,4284/1554, numerators are 1139,4284
Denominators are 164,1554
The GCF of 1139,4284 is 17 .
LCM of 164,1554 is 127428.
The greatest common factor of 1139/164,4284/1554 = [GCF of 1139,4284]/[LCM of 164,1554]= 17/127428
Therefore, the GCF of 1139/164,4284/1554 is 17/127428.
To find the highest common factor of 1139,4284, we have to find the factors of both numbers and list the highest common factor.
The factors of 1139 are 1, 17, 67, 1139
The factors of 4284 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 17, 18, 21, 28, 34, 36, 42, 51, 63, 68, 84, 102, 119, 126, 153, 204, 238, 252, 306, 357, 476, 612, 714, 1071, 1428, 2142, 4284
The HCF of 1139,4284 is 17.
Lets's calculate GCF of 1139,4284
| 17 | 1139, 4284 |
| 67, 252 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 1139,4284 By Matching Biggest Common Factor Method
Now, list down the factors of 1139
:1,17,67,1139
Now, list down the factors of 4284
:1,2,3,4,6,7,9,12,14,17,18,21,28,34,36,42,51,63,68,84,102,119,126,153,204,238,252,306,357,476,612,714,1071,1428,2142,4284
Greatest Common Factor
We found the factors 1139,4284 . The biggest common factor number is the GCF number.
So the greatest common factor 1139,4284 is 17.
Lets's calculate LCM of 164,1554
| 2 | 164, 1554 |
| 82, 777 |
∴ So the LCM of the given numbers is 2 x 82 x 777 = 127428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/127428
Therefore, the GCF of Fractions 1139/164,4284/1554 is 17/127428
Least Common Multiple of 164,1554 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 164,1554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,1554) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(164,1554) x common factors =2 x 1 = 2
LCM(164,1554) = ( 164 × 1554 ) / 2
LCM(164,1554) = 254856 / 2
LCM(164,1554) = 127428
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FAQs on GCF of Fractions of 1139/164, 4284/1554
1. What is the HCF of 1139,4284?
The HCF of 1139,4284 is 17
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 1139/164, 4284/1554?
Answer: GCF of Numerators as per given numbers 1139/164, 4284/1554 is
GCF of Numerators i.e. for 1139,4284 is 17
LCM of denominators i.e. for 164,1554 is 127428.
Thus, GCF of Fractions is 17/127428.Finally, GCF of Fractions for 1139/164, 4284/1554 is 17/127428.