GCF of 5206/707, 7806/5964
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5206/707, 7806/5964 i.e 2/602364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5206/707, 7806/5964.
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 5206/707,7806/5964?
Given fractions are 5206/707,7806/5964
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 5206/707,7806/5964, numerators are 5206,7806
Denominators are 707,5964
The GCF of 5206,7806 is 2 .
LCM of 707,5964 is 602364.
The greatest common factor of 5206/707,7806/5964 = [GCF of 5206,7806]/[LCM of 707,5964]= 2/602364
Therefore, the GCF of 5206/707,7806/5964 is 2/602364.
To find the highest common factor of 5206,7806, we have to find the factors of both numbers and list the highest common factor.
The factors of 5206 are 1, 2, 19, 38, 137, 274, 2603, 5206
The factors of 7806 are 1, 2, 3, 6, 1301, 2602, 3903, 7806
The HCF of 5206,7806 is 2.
Lets's calculate GCF of 5206,7806
| 2 | 5206, 7806 |
| 2603, 3903 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5206,7806 By Matching Biggest Common Factor Method
Now, list down the factors of 5206
:1,2,19,38,137,274,2603,5206
Now, list down the factors of 7806
:1,2,3,6,1301,2602,3903,7806
Greatest Common Factor
We found the factors 5206,7806 . The biggest common factor number is the GCF number.
So the greatest common factor 5206,7806 is 2.
Lets's calculate LCM of 707,5964
| 7 | 707, 5964 |
| 101, 852 |
∴ So the LCM of the given numbers is 7 x 101 x 852 = 602364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/602364
Therefore, the GCF of Fractions 5206/707,7806/5964 is 2/602364
Least Common Multiple of 707,5964 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 707,5964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,5964) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(707,5964) x common factors =7 x 1 = 7
LCM(707,5964) = ( 707 × 5964 ) / 7
LCM(707,5964) = 4216548 / 7
LCM(707,5964) = 602364
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5206/707, 7806/5964
1. What is the HCF of 5206,7806?
The HCF of 5206,7806 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 5206/707, 7806/5964?
Answer: GCF of Numerators as per given numbers 5206/707, 7806/5964 is
GCF of Numerators i.e. for 5206,7806 is 2
LCM of denominators i.e. for 707,5964 is 602364.
Thus, GCF of Fractions is 2/602364.Finally, GCF of Fractions for 5206/707, 7806/5964 is 2/602364.