GCF of 6725/826, 8399/9962
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6725/826, 8399/9962 i.e 1/4114306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6725/826, 8399/9962.
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 6725/826,8399/9962?
Given fractions are 6725/826,8399/9962
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 6725/826,8399/9962, numerators are 6725,8399
Denominators are 826,9962
The GCF of 6725,8399 is 1 .
LCM of 826,9962 is 4114306.
The greatest common factor of 6725/826,8399/9962 = [GCF of 6725,8399]/[LCM of 826,9962]= 1/4114306
Therefore, the GCF of 6725/826,8399/9962 is 1/4114306.
To find the highest common factor of 6725,8399, we have to find the factors of both numbers and list the highest common factor.
The factors of 6725 are 1, 5, 25, 269, 1345, 6725
The factors of 8399 are 1, 37, 227, 8399
The HCF of 6725,8399 is 1.
Lets's calculate GCF of 6725,8399
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6725,8399 By Matching Biggest Common Factor Method
Now, list down the factors of 6725
:1,5,25,269,1345,6725
Now, list down the factors of 8399
:1,37,227,8399
Greatest Common Factor
We found the factors 6725,8399 . The biggest common factor number is the GCF number.
So the greatest common factor 6725,8399 is 1.
Lets's calculate LCM of 826,9962
| 2 | 826, 9962 |
| 413, 4981 |
∴ So the LCM of the given numbers is 2 x 413 x 4981 = 4114306
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4114306
Therefore, the GCF of Fractions 6725/826,8399/9962 is 1/4114306
Least Common Multiple of 826,9962 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 826,9962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,9962) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(826,9962) x common factors =2 x 1 = 2
LCM(826,9962) = ( 826 × 9962 ) / 2
LCM(826,9962) = 8228612 / 2
LCM(826,9962) = 4114306
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FAQs on GCF of Fractions of 6725/826, 8399/9962
1. What is the HCF of 6725,8399?
The HCF of 6725,8399 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 6725/826, 8399/9962?
Answer: GCF of Numerators as per given numbers 6725/826, 8399/9962 is
GCF of Numerators i.e. for 6725,8399 is 1
LCM of denominators i.e. for 826,9962 is 4114306.
Thus, GCF of Fractions is 1/4114306.Finally, GCF of Fractions for 6725/826, 8399/9962 is 1/4114306.