GCF of 8408/691, 5865/6970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8408/691, 5865/6970 i.e 1/4816270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8408/691, 5865/6970.
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 8408/691,5865/6970?
Given fractions are 8408/691,5865/6970
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 8408/691,5865/6970, numerators are 8408,5865
Denominators are 691,6970
The GCF of 8408,5865 is 1 .
LCM of 691,6970 is 4816270.
The greatest common factor of 8408/691,5865/6970 = [GCF of 8408,5865]/[LCM of 691,6970]= 1/4816270
Therefore, the GCF of 8408/691,5865/6970 is 1/4816270.
To find the highest common factor of 8408,5865, we have to find the factors of both numbers and list the highest common factor.
The factors of 8408 are 1, 2, 4, 8, 1051, 2102, 4204, 8408
The factors of 5865 are 1, 3, 5, 15, 17, 23, 51, 69, 85, 115, 255, 345, 391, 1173, 1955, 5865
The HCF of 8408,5865 is 1.
Lets's calculate GCF of 8408,5865
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8408,5865 By Matching Biggest Common Factor Method
Now, list down the factors of 8408
:1,2,4,8,1051,2102,4204,8408
Now, list down the factors of 5865
:1,3,5,15,17,23,51,69,85,115,255,345,391,1173,1955,5865
Greatest Common Factor
We found the factors 8408,5865 . The biggest common factor number is the GCF number.
So the greatest common factor 8408,5865 is 1.
Lets's calculate LCM of 691,6970
Given numbers has no common factors except 1. So, there LCM is their product i.e 4816270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4816270
Therefore, the GCF of Fractions 8408/691,5865/6970 is 1/4816270
Least Common Multiple of 691,6970 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 691,6970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,6970) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,6970) x common factors =1 x 1 = 1
LCM(691,6970) = ( 691 × 6970 ) / 1
LCM(691,6970) = 4816270 / 1
LCM(691,6970) = 4816270
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FAQs on GCF of Fractions of 8408/691, 5865/6970
1. What is the HCF of 8408,5865?
The HCF of 8408,5865 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 8408/691, 5865/6970?
Answer: GCF of Numerators as per given numbers 8408/691, 5865/6970 is
GCF of Numerators i.e. for 8408,5865 is 1
LCM of denominators i.e. for 691,6970 is 4816270.
Thus, GCF of Fractions is 1/4816270.Finally, GCF of Fractions for 8408/691, 5865/6970 is 1/4816270.