GCF of 631/670, 6523/846
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 631/670, 6523/846 i.e 1/283410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 631/670, 6523/846.
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 631/670,6523/846?
Given fractions are 631/670,6523/846
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 631/670,6523/846, numerators are 631,6523
Denominators are 670,846
The GCF of 631,6523 is 1 .
LCM of 670,846 is 283410.
The greatest common factor of 631/670,6523/846 = [GCF of 631,6523]/[LCM of 670,846]= 1/283410
Therefore, the GCF of 631/670,6523/846 is 1/283410.
To find the highest common factor of 631,6523, we have to find the factors of both numbers and list the highest common factor.
The factors of 631 are 1, 631
The factors of 6523 are 1, 11, 593, 6523
The HCF of 631,6523 is 1.
Lets's calculate GCF of 631,6523
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 631,6523 By Matching Biggest Common Factor Method
Now, list down the factors of 631
:1,631
Now, list down the factors of 6523
:1,11,593,6523
Greatest Common Factor
We found the factors 631,6523 . The biggest common factor number is the GCF number.
So the greatest common factor 631,6523 is 1.
Lets's calculate LCM of 670,846
| 2 | 670, 846 |
| 335, 423 |
∴ So the LCM of the given numbers is 2 x 335 x 423 = 283410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/283410
Therefore, the GCF of Fractions 631/670,6523/846 is 1/283410
Least Common Multiple of 670,846 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 670,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,846) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(670,846) x common factors =2 x 1 = 2
LCM(670,846) = ( 670 × 846 ) / 2
LCM(670,846) = 566820 / 2
LCM(670,846) = 283410
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FAQs on GCF of Fractions of 631/670, 6523/846
1. What is the HCF of 631,6523?
The HCF of 631,6523 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 631/670, 6523/846?
Answer: GCF of Numerators as per given numbers 631/670, 6523/846 is
GCF of Numerators i.e. for 631,6523 is 1
LCM of denominators i.e. for 670,846 is 283410.
Thus, GCF of Fractions is 1/283410.Finally, GCF of Fractions for 631/670, 6523/846 is 1/283410.