GCF of 525/862, 8614/410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 525/862, 8614/410 i.e 1/176710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 525/862, 8614/410.
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 525/862,8614/410?
Given fractions are 525/862,8614/410
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 525/862,8614/410, numerators are 525,8614
Denominators are 862,410
The GCF of 525,8614 is 1 .
LCM of 862,410 is 176710.
The greatest common factor of 525/862,8614/410 = [GCF of 525,8614]/[LCM of 862,410]= 1/176710
Therefore, the GCF of 525/862,8614/410 is 1/176710.
To find the highest common factor of 525,8614, we have to find the factors of both numbers and list the highest common factor.
The factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
The factors of 8614 are 1, 2, 59, 73, 118, 146, 4307, 8614
The HCF of 525,8614 is 1.
Lets's calculate GCF of 525,8614
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 525,8614 By Matching Biggest Common Factor Method
Now, list down the factors of 525
:1,3,5,7,15,21,25,35,75,105,175,525
Now, list down the factors of 8614
:1,2,59,73,118,146,4307,8614
Greatest Common Factor
We found the factors 525,8614 . The biggest common factor number is the GCF number.
So the greatest common factor 525,8614 is 1.
Lets's calculate LCM of 862,410
| 2 | 862, 410 |
| 431, 205 |
∴ So the LCM of the given numbers is 2 x 431 x 205 = 176710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176710
Therefore, the GCF of Fractions 525/862,8614/410 is 1/176710
Least Common Multiple of 862,410 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 862,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,410) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(862,410) x common factors =2 x 1 = 2
LCM(862,410) = ( 862 × 410 ) / 2
LCM(862,410) = 353420 / 2
LCM(862,410) = 176710
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FAQs on GCF of Fractions of 525/862, 8614/410
1. What is the HCF of 525,8614?
The HCF of 525,8614 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 525/862, 8614/410?
Answer: GCF of Numerators as per given numbers 525/862, 8614/410 is
GCF of Numerators i.e. for 525,8614 is 1
LCM of denominators i.e. for 862,410 is 176710.
Thus, GCF of Fractions is 1/176710.Finally, GCF of Fractions for 525/862, 8614/410 is 1/176710.