GCF of 5226/655, 9682/815
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5226/655, 9682/815 i.e 2/106765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5226/655, 9682/815.
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 5226/655,9682/815?
Given fractions are 5226/655,9682/815
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 5226/655,9682/815, numerators are 5226,9682
Denominators are 655,815
The GCF of 5226,9682 is 2 .
LCM of 655,815 is 106765.
The greatest common factor of 5226/655,9682/815 = [GCF of 5226,9682]/[LCM of 655,815]= 2/106765
Therefore, the GCF of 5226/655,9682/815 is 2/106765.
To find the highest common factor of 5226,9682, we have to find the factors of both numbers and list the highest common factor.
The factors of 5226 are 1, 2, 3, 6, 13, 26, 39, 67, 78, 134, 201, 402, 871, 1742, 2613, 5226
The factors of 9682 are 1, 2, 47, 94, 103, 206, 4841, 9682
The HCF of 5226,9682 is 2.
Lets's calculate GCF of 5226,9682
| 2 | 5226, 9682 |
| 2613, 4841 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5226,9682 By Matching Biggest Common Factor Method
Now, list down the factors of 5226
:1,2,3,6,13,26,39,67,78,134,201,402,871,1742,2613,5226
Now, list down the factors of 9682
:1,2,47,94,103,206,4841,9682
Greatest Common Factor
We found the factors 5226,9682 . The biggest common factor number is the GCF number.
So the greatest common factor 5226,9682 is 2.
Lets's calculate LCM of 655,815
| 5 | 655, 815 |
| 131, 163 |
∴ So the LCM of the given numbers is 5 x 131 x 163 = 106765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/106765
Therefore, the GCF of Fractions 5226/655,9682/815 is 2/106765
Least Common Multiple of 655,815 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 655,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,815) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(655,815) x common factors =5 x 1 = 5
LCM(655,815) = ( 655 × 815 ) / 5
LCM(655,815) = 533825 / 5
LCM(655,815) = 106765
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FAQs on GCF of Fractions of 5226/655, 9682/815
1. What is the HCF of 5226,9682?
The HCF of 5226,9682 is 2
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 5226/655, 9682/815?
Answer: GCF of Numerators as per given numbers 5226/655, 9682/815 is
GCF of Numerators i.e. for 5226,9682 is 2
LCM of denominators i.e. for 655,815 is 106765.
Thus, GCF of Fractions is 2/106765.Finally, GCF of Fractions for 5226/655, 9682/815 is 2/106765.