GCF of 803/258, 7140/638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 803/258, 7140/638 i.e 1/82302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 803/258, 7140/638.
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 803/258,7140/638?
Given fractions are 803/258,7140/638
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 803/258,7140/638, numerators are 803,7140
Denominators are 258,638
The GCF of 803,7140 is 1 .
LCM of 258,638 is 82302.
The greatest common factor of 803/258,7140/638 = [GCF of 803,7140]/[LCM of 258,638]= 1/82302
Therefore, the GCF of 803/258,7140/638 is 1/82302.
To find the highest common factor of 803,7140, we have to find the factors of both numbers and list the highest common factor.
The factors of 803 are 1, 11, 73, 803
The factors of 7140 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 17, 20, 21, 28, 30, 34, 35, 42, 51, 60, 68, 70, 84, 85, 102, 105, 119, 140, 170, 204, 210, 238, 255, 340, 357, 420, 476, 510, 595, 714, 1020, 1190, 1428, 1785, 2380, 3570, 7140
The HCF of 803,7140 is 1.
Lets's calculate GCF of 803,7140
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 803,7140 By Matching Biggest Common Factor Method
Now, list down the factors of 803
:1,11,73,803
Now, list down the factors of 7140
:1,2,3,4,5,6,7,10,12,14,15,17,20,21,28,30,34,35,42,51,60,68,70,84,85,102,105,119,140,170,204,210,238,255,340,357,420,476,510,595,714,1020,1190,1428,1785,2380,3570,7140
Greatest Common Factor
We found the factors 803,7140 . The biggest common factor number is the GCF number.
So the greatest common factor 803,7140 is 1.
Lets's calculate LCM of 258,638
| 2 | 258, 638 |
| 129, 319 |
∴ So the LCM of the given numbers is 2 x 129 x 319 = 82302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82302
Therefore, the GCF of Fractions 803/258,7140/638 is 1/82302
Least Common Multiple of 258,638 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 258,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,638) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(258,638) x common factors =2 x 1 = 2
LCM(258,638) = ( 258 × 638 ) / 2
LCM(258,638) = 164604 / 2
LCM(258,638) = 82302
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FAQs on GCF of Fractions of 803/258, 7140/638
1. What is the HCF of 803,7140?
The HCF of 803,7140 is 1
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 803/258, 7140/638?
Answer: GCF of Numerators as per given numbers 803/258, 7140/638 is
GCF of Numerators i.e. for 803,7140 is 1
LCM of denominators i.e. for 258,638 is 82302.
Thus, GCF of Fractions is 1/82302.Finally, GCF of Fractions for 803/258, 7140/638 is 1/82302.