GCF of 6982/676, 8169/3699
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6982/676, 8169/3699 i.e 1/2500524 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6982/676, 8169/3699.
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 6982/676,8169/3699?
Given fractions are 6982/676,8169/3699
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 6982/676,8169/3699, numerators are 6982,8169
Denominators are 676,3699
The GCF of 6982,8169 is 1 .
LCM of 676,3699 is 2500524.
The greatest common factor of 6982/676,8169/3699 = [GCF of 6982,8169]/[LCM of 676,3699]= 1/2500524
Therefore, the GCF of 6982/676,8169/3699 is 1/2500524.
To find the highest common factor of 6982,8169, we have to find the factors of both numbers and list the highest common factor.
The factors of 6982 are 1, 2, 3491, 6982
The factors of 8169 are 1, 3, 7, 21, 389, 1167, 2723, 8169
The HCF of 6982,8169 is 1.
Lets's calculate GCF of 6982,8169
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6982,8169 By Matching Biggest Common Factor Method
Now, list down the factors of 6982
:1,2,3491,6982
Now, list down the factors of 8169
:1,3,7,21,389,1167,2723,8169
Greatest Common Factor
We found the factors 6982,8169 . The biggest common factor number is the GCF number.
So the greatest common factor 6982,8169 is 1.
Lets's calculate LCM of 676,3699
Given numbers has no common factors except 1. So, there LCM is their product i.e 2500524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2500524
Therefore, the GCF of Fractions 6982/676,8169/3699 is 1/2500524
Least Common Multiple of 676,3699 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 676,3699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,3699) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(676,3699) x common factors =1 x 1 = 1
LCM(676,3699) = ( 676 × 3699 ) / 1
LCM(676,3699) = 2500524 / 1
LCM(676,3699) = 2500524
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FAQs on GCF of Fractions of 6982/676, 8169/3699
1. What is the HCF of 6982,8169?
The HCF of 6982,8169 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 6982/676, 8169/3699?
Answer: GCF of Numerators as per given numbers 6982/676, 8169/3699 is
GCF of Numerators i.e. for 6982,8169 is 1
LCM of denominators i.e. for 676,3699 is 2500524.
Thus, GCF of Fractions is 1/2500524.Finally, GCF of Fractions for 6982/676, 8169/3699 is 1/2500524.