GCF of 8691/778, 6932/3465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8691/778, 6932/3465 i.e 1/2695770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8691/778, 6932/3465.
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 8691/778,6932/3465?
Given fractions are 8691/778,6932/3465
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 8691/778,6932/3465, numerators are 8691,6932
Denominators are 778,3465
The GCF of 8691,6932 is 1 .
LCM of 778,3465 is 2695770.
The greatest common factor of 8691/778,6932/3465 = [GCF of 8691,6932]/[LCM of 778,3465]= 1/2695770
Therefore, the GCF of 8691/778,6932/3465 is 1/2695770.
To find the highest common factor of 8691,6932, we have to find the factors of both numbers and list the highest common factor.
The factors of 8691 are 1, 3, 2897, 8691
The factors of 6932 are 1, 2, 4, 1733, 3466, 6932
The HCF of 8691,6932 is 1.
Lets's calculate GCF of 8691,6932
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8691,6932 By Matching Biggest Common Factor Method
Now, list down the factors of 8691
:1,3,2897,8691
Now, list down the factors of 6932
:1,2,4,1733,3466,6932
Greatest Common Factor
We found the factors 8691,6932 . The biggest common factor number is the GCF number.
So the greatest common factor 8691,6932 is 1.
Lets's calculate LCM of 778,3465
Given numbers has no common factors except 1. So, there LCM is their product i.e 2695770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2695770
Therefore, the GCF of Fractions 8691/778,6932/3465 is 1/2695770
Least Common Multiple of 778,3465 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 778,3465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,3465) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(778,3465) x common factors =1 x 1 = 1
LCM(778,3465) = ( 778 × 3465 ) / 1
LCM(778,3465) = 2695770 / 1
LCM(778,3465) = 2695770
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FAQs on GCF of Fractions of 8691/778, 6932/3465
1. What is the HCF of 8691,6932?
The HCF of 8691,6932 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 8691/778, 6932/3465?
Answer: GCF of Numerators as per given numbers 8691/778, 6932/3465 is
GCF of Numerators i.e. for 8691,6932 is 1
LCM of denominators i.e. for 778,3465 is 2695770.
Thus, GCF of Fractions is 1/2695770.Finally, GCF of Fractions for 8691/778, 6932/3465 is 1/2695770.