GCF of 1739/482, 9139/8414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1739/482, 9139/8414 i.e 37/2027774 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1739/482, 9139/8414.
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 1739/482,9139/8414?
Given fractions are 1739/482,9139/8414
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 1739/482,9139/8414, numerators are 1739,9139
Denominators are 482,8414
The GCF of 1739,9139 is 37 .
LCM of 482,8414 is 2027774.
The greatest common factor of 1739/482,9139/8414 = [GCF of 1739,9139]/[LCM of 482,8414]= 37/2027774
Therefore, the GCF of 1739/482,9139/8414 is 37/2027774.
To find the highest common factor of 1739,9139, we have to find the factors of both numbers and list the highest common factor.
The factors of 1739 are 1, 37, 47, 1739
The factors of 9139 are 1, 13, 19, 37, 247, 481, 703, 9139
The HCF of 1739,9139 is 37.
Lets's calculate GCF of 1739,9139
| 37 | 1739, 9139 |
| 47, 247 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 1739,9139 By Matching Biggest Common Factor Method
Now, list down the factors of 1739
:1,37,47,1739
Now, list down the factors of 9139
:1,13,19,37,247,481,703,9139
Greatest Common Factor
We found the factors 1739,9139 . The biggest common factor number is the GCF number.
So the greatest common factor 1739,9139 is 37.
Lets's calculate LCM of 482,8414
| 2 | 482, 8414 |
| 241, 4207 |
∴ So the LCM of the given numbers is 2 x 241 x 4207 = 2027774
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/2027774
Therefore, the GCF of Fractions 1739/482,9139/8414 is 37/2027774
Least Common Multiple of 482,8414 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 482,8414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,8414) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(482,8414) x common factors =2 x 1 = 2
LCM(482,8414) = ( 482 × 8414 ) / 2
LCM(482,8414) = 4055548 / 2
LCM(482,8414) = 2027774
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FAQs on GCF of Fractions of 1739/482, 9139/8414
1. What is the HCF of 1739,9139?
The HCF of 1739,9139 is 37
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 1739/482, 9139/8414?
Answer: GCF of Numerators as per given numbers 1739/482, 9139/8414 is
GCF of Numerators i.e. for 1739,9139 is 37
LCM of denominators i.e. for 482,8414 is 2027774.
Thus, GCF of Fractions is 37/2027774.Finally, GCF of Fractions for 1739/482, 9139/8414 is 37/2027774.