GCF of 6985/821, 6264/8396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6985/821, 6264/8396 i.e 1/6893116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6985/821, 6264/8396.
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 6985/821,6264/8396?
Given fractions are 6985/821,6264/8396
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 6985/821,6264/8396, numerators are 6985,6264
Denominators are 821,8396
The GCF of 6985,6264 is 1 .
LCM of 821,8396 is 6893116.
The greatest common factor of 6985/821,6264/8396 = [GCF of 6985,6264]/[LCM of 821,8396]= 1/6893116
Therefore, the GCF of 6985/821,6264/8396 is 1/6893116.
To find the highest common factor of 6985,6264, we have to find the factors of both numbers and list the highest common factor.
The factors of 6985 are 1, 5, 11, 55, 127, 635, 1397, 6985
The factors of 6264 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 29, 36, 54, 58, 72, 87, 108, 116, 174, 216, 232, 261, 348, 522, 696, 783, 1044, 1566, 2088, 3132, 6264
The HCF of 6985,6264 is 1.
Lets's calculate GCF of 6985,6264
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6985,6264 By Matching Biggest Common Factor Method
Now, list down the factors of 6985
:1,5,11,55,127,635,1397,6985
Now, list down the factors of 6264
:1,2,3,4,6,8,9,12,18,24,27,29,36,54,58,72,87,108,116,174,216,232,261,348,522,696,783,1044,1566,2088,3132,6264
Greatest Common Factor
We found the factors 6985,6264 . The biggest common factor number is the GCF number.
So the greatest common factor 6985,6264 is 1.
Lets's calculate LCM of 821,8396
Given numbers has no common factors except 1. So, there LCM is their product i.e 6893116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6893116
Therefore, the GCF of Fractions 6985/821,6264/8396 is 1/6893116
Least Common Multiple of 821,8396 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 821,8396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,8396) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,8396) x common factors =1 x 1 = 1
LCM(821,8396) = ( 821 × 8396 ) / 1
LCM(821,8396) = 6893116 / 1
LCM(821,8396) = 6893116
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FAQs on GCF of Fractions of 6985/821, 6264/8396
1. What is the HCF of 6985,6264?
The HCF of 6985,6264 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 6985/821, 6264/8396?
Answer: GCF of Numerators as per given numbers 6985/821, 6264/8396 is
GCF of Numerators i.e. for 6985,6264 is 1
LCM of denominators i.e. for 821,8396 is 6893116.
Thus, GCF of Fractions is 1/6893116.Finally, GCF of Fractions for 6985/821, 6264/8396 is 1/6893116.