GCF of 8021/636, 1694/2218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8021/636, 1694/2218 i.e 1/705324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8021/636, 1694/2218.
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 8021/636,1694/2218?
Given fractions are 8021/636,1694/2218
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 8021/636,1694/2218, numerators are 8021,1694
Denominators are 636,2218
The GCF of 8021,1694 is 1 .
LCM of 636,2218 is 705324.
The greatest common factor of 8021/636,1694/2218 = [GCF of 8021,1694]/[LCM of 636,2218]= 1/705324
Therefore, the GCF of 8021/636,1694/2218 is 1/705324.
To find the highest common factor of 8021,1694, we have to find the factors of both numbers and list the highest common factor.
The factors of 8021 are 1, 13, 617, 8021
The factors of 1694 are 1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694
The HCF of 8021,1694 is 1.
Lets's calculate GCF of 8021,1694
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8021,1694 By Matching Biggest Common Factor Method
Now, list down the factors of 8021
:1,13,617,8021
Now, list down the factors of 1694
:1,2,7,11,14,22,77,121,154,242,847,1694
Greatest Common Factor
We found the factors 8021,1694 . The biggest common factor number is the GCF number.
So the greatest common factor 8021,1694 is 1.
Lets's calculate LCM of 636,2218
| 2 | 636, 2218 |
| 318, 1109 |
∴ So the LCM of the given numbers is 2 x 318 x 1109 = 705324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/705324
Therefore, the GCF of Fractions 8021/636,1694/2218 is 1/705324
Least Common Multiple of 636,2218 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 636,2218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,2218) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(636,2218) x common factors =2 x 1 = 2
LCM(636,2218) = ( 636 × 2218 ) / 2
LCM(636,2218) = 1410648 / 2
LCM(636,2218) = 705324
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FAQs on GCF of Fractions of 8021/636, 1694/2218
1. What is the HCF of 8021,1694?
The HCF of 8021,1694 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 8021/636, 1694/2218?
Answer: GCF of Numerators as per given numbers 8021/636, 1694/2218 is
GCF of Numerators i.e. for 8021,1694 is 1
LCM of denominators i.e. for 636,2218 is 705324.
Thus, GCF of Fractions is 1/705324.Finally, GCF of Fractions for 8021/636, 1694/2218 is 1/705324.