GCF of 350/226, 704/996, 698/208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 350/226, 704/996, 698/208 i.e 2/5852496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 350/226, 704/996, 698/208.
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 350/226,704/996,698/208?
Given fractions are 350/226,704/996,698/208
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 350/226,704/996,698/208, numerators are 350,704,698
Denominators are 226,996,208
The GCF of 350,704,698 is 2 .
LCM of 226,996,208 is 5852496.
The greatest common factor of 350/226,704/996,698/208 = [GCF of 350,704,698]/[LCM of 226,996,208]= 2/5852496
Therefore, the GCF of 350/226,704/996,698/208 is 2/5852496.
To find the highest common factor of 350,704,698, we have to find the factors of both numbers and list the highest common factor.
The factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
The factors of 704 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
The factors of 698 are 1, 2, 349, 698
The HCF of 350,704,698 is 2.
Lets's calculate GCF of 350,704,698
| 2 | 350, 704, 698 |
| 175, 352, 349 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 350,704,698 By Matching Biggest Common Factor Method
Now, list down the factors of 350
:1,2,5,7,10,14,25,35,50,70,175,350
Now, list down the factors of 704
:1,2,4,8,11,16,22,32,44,64,88,176,352,704
Now, list down the factors of 698
:1,2,349,698
Greatest Common Factor
We found the factors 350,704,698 . The biggest common factor number is the GCF number.
So the greatest common factor 350,704,698 is 2.
Lets's calculate LCM of 226,996,208
| 2 | 226, 996, 208 |
| 2 | 113, 498, 104 |
| 113, 249, 52 |
∴ So the LCM of the given numbers is 2 x 2 x 113 x 249 x 52 = 5852496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5852496
Therefore, the GCF of Fractions 350/226,704/996,698/208 is 2/5852496
Least Common Multiple of 226,996,208 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 226,996,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,996,208) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(226,996,208) x common factors =2 x 4 = 8
LCM(226,996,208) = ( 226 × 996 × 208 ) / 8
LCM(226,996,208) = 46819968 / 8
LCM(226,996,208) = 5852496
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FAQs on GCF of Fractions of 350/226, 704/996, 698/208
1. What is the HCF of 350,704,698?
The HCF of 350,704,698 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 350/226, 704/996, 698/208?
Answer: GCF of Numerators as per given numbers 350/226, 704/996, 698/208 is
GCF of Numerators i.e. for 350,704,698 is 2
LCM of denominators i.e. for 226,996,208 is 5852496.
Thus, GCF of Fractions is 2/5852496.Finally, GCF of Fractions for 350/226, 704/996, 698/208 is 2/5852496.