GCF of 6710/206, 5431/962
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6710/206, 5431/962 i.e 1/99086 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6710/206, 5431/962.
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 6710/206,5431/962?
Given fractions are 6710/206,5431/962
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 6710/206,5431/962, numerators are 6710,5431
Denominators are 206,962
The GCF of 6710,5431 is 1 .
LCM of 206,962 is 99086.
The greatest common factor of 6710/206,5431/962 = [GCF of 6710,5431]/[LCM of 206,962]= 1/99086
Therefore, the GCF of 6710/206,5431/962 is 1/99086.
To find the highest common factor of 6710,5431, we have to find the factors of both numbers and list the highest common factor.
The factors of 6710 are 1, 2, 5, 10, 11, 22, 55, 61, 110, 122, 305, 610, 671, 1342, 3355, 6710
The factors of 5431 are 1, 5431
The HCF of 6710,5431 is 1.
Lets's calculate GCF of 6710,5431
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6710,5431 By Matching Biggest Common Factor Method
Now, list down the factors of 6710
:1,2,5,10,11,22,55,61,110,122,305,610,671,1342,3355,6710
Now, list down the factors of 5431
:1,5431
Greatest Common Factor
We found the factors 6710,5431 . The biggest common factor number is the GCF number.
So the greatest common factor 6710,5431 is 1.
Lets's calculate LCM of 206,962
| 2 | 206, 962 |
| 103, 481 |
∴ So the LCM of the given numbers is 2 x 103 x 481 = 99086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99086
Therefore, the GCF of Fractions 6710/206,5431/962 is 1/99086
Least Common Multiple of 206,962 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 206,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,962) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,962) x common factors =2 x 1 = 2
LCM(206,962) = ( 206 × 962 ) / 2
LCM(206,962) = 198172 / 2
LCM(206,962) = 99086
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6710/206, 5431/962
1. What is the HCF of 6710,5431?
The HCF of 6710,5431 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 6710/206, 5431/962?
Answer: GCF of Numerators as per given numbers 6710/206, 5431/962 is
GCF of Numerators i.e. for 6710,5431 is 1
LCM of denominators i.e. for 206,962 is 99086.
Thus, GCF of Fractions is 1/99086.Finally, GCF of Fractions for 6710/206, 5431/962 is 1/99086.