GCF of 3967/829, 8932/7867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3967/829, 8932/7867 i.e 1/6521743 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3967/829, 8932/7867.
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 3967/829,8932/7867?
Given fractions are 3967/829,8932/7867
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 3967/829,8932/7867, numerators are 3967,8932
Denominators are 829,7867
The GCF of 3967,8932 is 1 .
LCM of 829,7867 is 6521743.
The greatest common factor of 3967/829,8932/7867 = [GCF of 3967,8932]/[LCM of 829,7867]= 1/6521743
Therefore, the GCF of 3967/829,8932/7867 is 1/6521743.
To find the highest common factor of 3967,8932, we have to find the factors of both numbers and list the highest common factor.
The factors of 3967 are 1, 3967
The factors of 8932 are 1, 2, 4, 7, 11, 14, 22, 28, 29, 44, 58, 77, 116, 154, 203, 308, 319, 406, 638, 812, 1276, 2233, 4466, 8932
The HCF of 3967,8932 is 1.
Lets's calculate GCF of 3967,8932
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3967,8932 By Matching Biggest Common Factor Method
Now, list down the factors of 3967
:1,3967
Now, list down the factors of 8932
:1,2,4,7,11,14,22,28,29,44,58,77,116,154,203,308,319,406,638,812,1276,2233,4466,8932
Greatest Common Factor
We found the factors 3967,8932 . The biggest common factor number is the GCF number.
So the greatest common factor 3967,8932 is 1.
Lets's calculate LCM of 829,7867
Given numbers has no common factors except 1. So, there LCM is their product i.e 6521743
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6521743
Therefore, the GCF of Fractions 3967/829,8932/7867 is 1/6521743
Least Common Multiple of 829,7867 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 829,7867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,7867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,7867) x common factors =1 x 1 = 1
LCM(829,7867) = ( 829 × 7867 ) / 1
LCM(829,7867) = 6521743 / 1
LCM(829,7867) = 6521743
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FAQs on GCF of Fractions of 3967/829, 8932/7867
1. What is the HCF of 3967,8932?
The HCF of 3967,8932 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 3967/829, 8932/7867?
Answer: GCF of Numerators as per given numbers 3967/829, 8932/7867 is
GCF of Numerators i.e. for 3967,8932 is 1
LCM of denominators i.e. for 829,7867 is 6521743.
Thus, GCF of Fractions is 1/6521743.Finally, GCF of Fractions for 3967/829, 8932/7867 is 1/6521743.