GCF of 6981/964, 3680/7843
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6981/964, 3680/7843 i.e 1/7560652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6981/964, 3680/7843.
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 6981/964,3680/7843?
Given fractions are 6981/964,3680/7843
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 6981/964,3680/7843, numerators are 6981,3680
Denominators are 964,7843
The GCF of 6981,3680 is 1 .
LCM of 964,7843 is 7560652.
The greatest common factor of 6981/964,3680/7843 = [GCF of 6981,3680]/[LCM of 964,7843]= 1/7560652
Therefore, the GCF of 6981/964,3680/7843 is 1/7560652.
To find the highest common factor of 6981,3680, we have to find the factors of both numbers and list the highest common factor.
The factors of 6981 are 1, 3, 13, 39, 179, 537, 2327, 6981
The factors of 3680 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 736, 920, 1840, 3680
The HCF of 6981,3680 is 1.
Lets's calculate GCF of 6981,3680
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6981,3680 By Matching Biggest Common Factor Method
Now, list down the factors of 6981
:1,3,13,39,179,537,2327,6981
Now, list down the factors of 3680
:1,2,4,5,8,10,16,20,23,32,40,46,80,92,115,160,184,230,368,460,736,920,1840,3680
Greatest Common Factor
We found the factors 6981,3680 . The biggest common factor number is the GCF number.
So the greatest common factor 6981,3680 is 1.
Lets's calculate LCM of 964,7843
Given numbers has no common factors except 1. So, there LCM is their product i.e 7560652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7560652
Therefore, the GCF of Fractions 6981/964,3680/7843 is 1/7560652
Least Common Multiple of 964,7843 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 964,7843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,7843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(964,7843) x common factors =1 x 1 = 1
LCM(964,7843) = ( 964 × 7843 ) / 1
LCM(964,7843) = 7560652 / 1
LCM(964,7843) = 7560652
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FAQs on GCF of Fractions of 6981/964, 3680/7843
1. What is the HCF of 6981,3680?
The HCF of 6981,3680 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 6981/964, 3680/7843?
Answer: GCF of Numerators as per given numbers 6981/964, 3680/7843 is
GCF of Numerators i.e. for 6981,3680 is 1
LCM of denominators i.e. for 964,7843 is 7560652.
Thus, GCF of Fractions is 1/7560652.Finally, GCF of Fractions for 6981/964, 3680/7843 is 1/7560652.