GCF of 649/68, 826/613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 649/68, 826/613 i.e 59/41684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 649/68, 826/613.
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 649/68,826/613?
Given fractions are 649/68,826/613
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 649/68,826/613, numerators are 649,826
Denominators are 68,613
The GCF of 649,826 is 59 .
LCM of 68,613 is 41684.
The greatest common factor of 649/68,826/613 = [GCF of 649,826]/[LCM of 68,613]= 59/41684
Therefore, the GCF of 649/68,826/613 is 59/41684.
To find the highest common factor of 649,826, we have to find the factors of both numbers and list the highest common factor.
The factors of 649 are 1, 11, 59, 649
The factors of 826 are 1, 2, 7, 14, 59, 118, 413, 826
The HCF of 649,826 is 59.
Lets's calculate GCF of 649,826
| 59 | 649, 826 |
| 11, 14 |
∴ So the GCF of the given numbers is 59 = 59
Greatest Common Factor of 649,826 By Matching Biggest Common Factor Method
Now, list down the factors of 649
:1,11,59,649
Now, list down the factors of 826
:1,2,7,14,59,118,413,826
Greatest Common Factor
We found the factors 649,826 . The biggest common factor number is the GCF number.
So the greatest common factor 649,826 is 59.
Lets's calculate LCM of 68,613
Given numbers has no common factors except 1. So, there LCM is their product i.e 41684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/41684
Therefore, the GCF of Fractions 649/68,826/613 is 59/41684
Least Common Multiple of 68,613 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 68,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,613) x common factors =1 x 1 = 1
LCM(68,613) = ( 68 × 613 ) / 1
LCM(68,613) = 41684 / 1
LCM(68,613) = 41684
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FAQs on GCF of Fractions of 649/68, 826/613
1. What is the HCF of 649,826?
The HCF of 649,826 is 59
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 649/68, 826/613?
Answer: GCF of Numerators as per given numbers 649/68, 826/613 is
GCF of Numerators i.e. for 649,826 is 59
LCM of denominators i.e. for 68,613 is 41684.
Thus, GCF of Fractions is 59/41684.Finally, GCF of Fractions for 649/68, 826/613 is 59/41684.