GCF of 526/595, 698/717
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 526/595, 698/717 i.e 2/426615 easily. The following is the detailed procedure to determine the greatest common factor of fractions 526/595, 698/717.
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 526/595,698/717?
Given fractions are 526/595,698/717
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 526/595,698/717, numerators are 526,698
Denominators are 595,717
The GCF of 526,698 is 2 .
LCM of 595,717 is 426615.
The greatest common factor of 526/595,698/717 = [GCF of 526,698]/[LCM of 595,717]= 2/426615
Therefore, the GCF of 526/595,698/717 is 2/426615.
To find the highest common factor of 526,698, we have to find the factors of both numbers and list the highest common factor.
The factors of 526 are 1, 2, 263, 526
The factors of 698 are 1, 2, 349, 698
The HCF of 526,698 is 2.
Lets's calculate GCF of 526,698
| 2 | 526, 698 |
| 263, 349 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 526,698 By Matching Biggest Common Factor Method
Now, list down the factors of 526
:1,2,263,526
Now, list down the factors of 698
:1,2,349,698
Greatest Common Factor
We found the factors 526,698 . The biggest common factor number is the GCF number.
So the greatest common factor 526,698 is 2.
Lets's calculate LCM of 595,717
Given numbers has no common factors except 1. So, there LCM is their product i.e 426615
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/426615
Therefore, the GCF of Fractions 526/595,698/717 is 2/426615
Least Common Multiple of 595,717 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 595,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,717) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(595,717) x common factors =1 x 1 = 1
LCM(595,717) = ( 595 × 717 ) / 1
LCM(595,717) = 426615 / 1
LCM(595,717) = 426615
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FAQs on GCF of Fractions of 526/595, 698/717
1. What is the HCF of 526,698?
The HCF of 526,698 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 526/595, 698/717?
Answer: GCF of Numerators as per given numbers 526/595, 698/717 is
GCF of Numerators i.e. for 526,698 is 2
LCM of denominators i.e. for 595,717 is 426615.
Thus, GCF of Fractions is 2/426615.Finally, GCF of Fractions for 526/595, 698/717 is 2/426615.