GCF of 82/294, 550/895, 698/562
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 82/294, 550/895, 698/562 i.e 2/73939530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/294, 550/895, 698/562.
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 82/294,550/895,698/562?
Given fractions are 82/294,550/895,698/562
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 82/294,550/895,698/562, numerators are 82,550,698
Denominators are 294,895,562
The GCF of 82,550,698 is 2 .
LCM of 294,895,562 is 73939530.
The greatest common factor of 82/294,550/895,698/562 = [GCF of 82,550,698]/[LCM of 294,895,562]= 2/73939530
Therefore, the GCF of 82/294,550/895,698/562 is 2/73939530.
To find the highest common factor of 82,550,698, we have to find the factors of both numbers and list the highest common factor.
The factors of 82 are 1, 2, 41, 82
The factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
The factors of 698 are 1, 2, 349, 698
The HCF of 82,550,698 is 2.
Lets's calculate GCF of 82,550,698
| 2 | 82, 550, 698 |
| 41, 275, 349 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 82,550,698 By Matching Biggest Common Factor Method
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 550
:1,2,5,10,11,22,25,50,55,110,275,550
Now, list down the factors of 698
:1,2,349,698
Greatest Common Factor
We found the factors 82,550,698 . The biggest common factor number is the GCF number.
So the greatest common factor 82,550,698 is 2.
Lets's calculate LCM of 294,895,562
| 2 | 294, 895, 562 |
| 147, 895, 281 |
∴ So the LCM of the given numbers is 2 x 147 x 895 x 281 = 73939530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/73939530
Therefore, the GCF of Fractions 82/294,550/895,698/562 is 2/73939530
Least Common Multiple of 294,895,562 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 294,895,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,895,562) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(294,895,562) x common factors =1 x 2 = 2
LCM(294,895,562) = ( 294 × 895 × 562 ) / 2
LCM(294,895,562) = 147879060 / 2
LCM(294,895,562) = 73939530
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FAQs on GCF of Fractions of 82/294, 550/895, 698/562
1. What is the HCF of 82,550,698?
The HCF of 82,550,698 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 82/294, 550/895, 698/562?
Answer: GCF of Numerators as per given numbers 82/294, 550/895, 698/562 is
GCF of Numerators i.e. for 82,550,698 is 2
LCM of denominators i.e. for 294,895,562 is 73939530.
Thus, GCF of Fractions is 2/73939530.Finally, GCF of Fractions for 82/294, 550/895, 698/562 is 2/73939530.