GCF of 26/164, 657/756, 606/247
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 26/164, 657/756, 606/247 i.e 1/7656012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 26/164, 657/756, 606/247.
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 26/164,657/756,606/247?
Given fractions are 26/164,657/756,606/247
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 26/164,657/756,606/247, numerators are 26,657,606
Denominators are 164,756,247
The GCF of 26,657,606 is 1 .
LCM of 164,756,247 is 7656012.
The greatest common factor of 26/164,657/756,606/247 = [GCF of 26,657,606]/[LCM of 164,756,247]= 1/7656012
Therefore, the GCF of 26/164,657/756,606/247 is 1/7656012.
To find the highest common factor of 26,657,606, we have to find the factors of both numbers and list the highest common factor.
The factors of 26 are 1, 2, 13, 26
The factors of 657 are 1, 3, 9, 73, 219, 657
The factors of 606 are 1, 2, 3, 6, 101, 202, 303, 606
The HCF of 26,657,606 is 1.
Lets's calculate GCF of 26,657,606
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 26,657,606 By Matching Biggest Common Factor Method
Now, list down the factors of 26
:1,2,13,26
Now, list down the factors of 657
:1,3,9,73,219,657
Now, list down the factors of 606
:1,2,3,6,101,202,303,606
Greatest Common Factor
We found the factors 26,657,606 . The biggest common factor number is the GCF number.
So the greatest common factor 26,657,606 is 1.
Lets's calculate LCM of 164,756,247
| 2 | 164, 756, 247 |
| 2 | 82, 378, 247 |
| 41, 189, 247 |
∴ So the LCM of the given numbers is 2 x 2 x 41 x 189 x 247 = 7656012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7656012
Therefore, the GCF of Fractions 26/164,657/756,606/247 is 1/7656012
Least Common Multiple of 164,756,247 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 164,756,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,756,247) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(164,756,247) x common factors =1 x 4 = 4
LCM(164,756,247) = ( 164 × 756 × 247 ) / 4
LCM(164,756,247) = 30624048 / 4
LCM(164,756,247) = 7656012
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FAQs on GCF of Fractions of 26/164, 657/756, 606/247
1. What is the HCF of 26,657,606?
The HCF of 26,657,606 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 26/164, 657/756, 606/247?
Answer: GCF of Numerators as per given numbers 26/164, 657/756, 606/247 is
GCF of Numerators i.e. for 26,657,606 is 1
LCM of denominators i.e. for 164,756,247 is 7656012.
Thus, GCF of Fractions is 1/7656012.Finally, GCF of Fractions for 26/164, 657/756, 606/247 is 1/7656012.