GCF of 8691/972, 7886/4080
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8691/972, 7886/4080 i.e 1/330480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8691/972, 7886/4080.
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 8691/972,7886/4080?
Given fractions are 8691/972,7886/4080
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 8691/972,7886/4080, numerators are 8691,7886
Denominators are 972,4080
The GCF of 8691,7886 is 1 .
LCM of 972,4080 is 330480.
The greatest common factor of 8691/972,7886/4080 = [GCF of 8691,7886]/[LCM of 972,4080]= 1/330480
Therefore, the GCF of 8691/972,7886/4080 is 1/330480.
To find the highest common factor of 8691,7886, 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 7886 are 1, 2, 3943, 7886
The HCF of 8691,7886 is 1.
Lets's calculate GCF of 8691,7886
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8691,7886 By Matching Biggest Common Factor Method
Now, list down the factors of 8691
:1,3,2897,8691
Now, list down the factors of 7886
:1,2,3943,7886
Greatest Common Factor
We found the factors 8691,7886 . The biggest common factor number is the GCF number.
So the greatest common factor 8691,7886 is 1.
Lets's calculate LCM of 972,4080
| 2 | 972, 4080 |
| 2 | 486, 2040 |
| 3 | 243, 1020 |
| 81, 340 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 81 x 340 = 330480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330480
Therefore, the GCF of Fractions 8691/972,7886/4080 is 1/330480
Least Common Multiple of 972,4080 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 972,4080 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,4080) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(972,4080) x common factors =12 x 1 = 12
LCM(972,4080) = ( 972 × 4080 ) / 12
LCM(972,4080) = 3965760 / 12
LCM(972,4080) = 330480
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FAQs on GCF of Fractions of 8691/972, 7886/4080
1. What is the HCF of 8691,7886?
The HCF of 8691,7886 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 8691/972, 7886/4080?
Answer: GCF of Numerators as per given numbers 8691/972, 7886/4080 is
GCF of Numerators i.e. for 8691,7886 is 1
LCM of denominators i.e. for 972,4080 is 330480.
Thus, GCF of Fractions is 1/330480.Finally, GCF of Fractions for 8691/972, 7886/4080 is 1/330480.