GCF of 2607/106, 5262/739
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2607/106, 5262/739 i.e 3/78334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2607/106, 5262/739.
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 2607/106,5262/739?
Given fractions are 2607/106,5262/739
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 2607/106,5262/739, numerators are 2607,5262
Denominators are 106,739
The GCF of 2607,5262 is 3 .
LCM of 106,739 is 78334.
The greatest common factor of 2607/106,5262/739 = [GCF of 2607,5262]/[LCM of 106,739]= 3/78334
Therefore, the GCF of 2607/106,5262/739 is 3/78334.
To find the highest common factor of 2607,5262, we have to find the factors of both numbers and list the highest common factor.
The factors of 2607 are 1, 3, 11, 33, 79, 237, 869, 2607
The factors of 5262 are 1, 2, 3, 6, 877, 1754, 2631, 5262
The HCF of 2607,5262 is 3.
Lets's calculate GCF of 2607,5262
| 3 | 2607, 5262 |
| 869, 1754 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2607,5262 By Matching Biggest Common Factor Method
Now, list down the factors of 2607
:1,3,11,33,79,237,869,2607
Now, list down the factors of 5262
:1,2,3,6,877,1754,2631,5262
Greatest Common Factor
We found the factors 2607,5262 . The biggest common factor number is the GCF number.
So the greatest common factor 2607,5262 is 3.
Lets's calculate LCM of 106,739
Given numbers has no common factors except 1. So, there LCM is their product i.e 78334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/78334
Therefore, the GCF of Fractions 2607/106,5262/739 is 3/78334
Least Common Multiple of 106,739 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 106,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(106,739) x common factors =1 x 1 = 1
LCM(106,739) = ( 106 × 739 ) / 1
LCM(106,739) = 78334 / 1
LCM(106,739) = 78334
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FAQs on GCF of Fractions of 2607/106, 5262/739
1. What is the HCF of 2607,5262?
The HCF of 2607,5262 is 3
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 2607/106, 5262/739?
Answer: GCF of Numerators as per given numbers 2607/106, 5262/739 is
GCF of Numerators i.e. for 2607,5262 is 3
LCM of denominators i.e. for 106,739 is 78334.
Thus, GCF of Fractions is 3/78334.Finally, GCF of Fractions for 2607/106, 5262/739 is 3/78334.