GCF of 6989/418, 6783/8814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6989/418, 6783/8814 i.e 1/1842126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6989/418, 6783/8814.
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 6989/418,6783/8814?
Given fractions are 6989/418,6783/8814
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 6989/418,6783/8814, numerators are 6989,6783
Denominators are 418,8814
The GCF of 6989,6783 is 1 .
LCM of 418,8814 is 1842126.
The greatest common factor of 6989/418,6783/8814 = [GCF of 6989,6783]/[LCM of 418,8814]= 1/1842126
Therefore, the GCF of 6989/418,6783/8814 is 1/1842126.
To find the highest common factor of 6989,6783, we have to find the factors of both numbers and list the highest common factor.
The factors of 6989 are 1, 29, 241, 6989
The factors of 6783 are 1, 3, 7, 17, 19, 21, 51, 57, 119, 133, 323, 357, 399, 969, 2261, 6783
The HCF of 6989,6783 is 1.
Lets's calculate GCF of 6989,6783
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6989,6783 By Matching Biggest Common Factor Method
Now, list down the factors of 6989
:1,29,241,6989
Now, list down the factors of 6783
:1,3,7,17,19,21,51,57,119,133,323,357,399,969,2261,6783
Greatest Common Factor
We found the factors 6989,6783 . The biggest common factor number is the GCF number.
So the greatest common factor 6989,6783 is 1.
Lets's calculate LCM of 418,8814
| 2 | 418, 8814 |
| 209, 4407 |
∴ So the LCM of the given numbers is 2 x 209 x 4407 = 1842126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1842126
Therefore, the GCF of Fractions 6989/418,6783/8814 is 1/1842126
Least Common Multiple of 418,8814 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 418,8814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,8814) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(418,8814) x common factors =2 x 1 = 2
LCM(418,8814) = ( 418 × 8814 ) / 2
LCM(418,8814) = 3684252 / 2
LCM(418,8814) = 1842126
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FAQs on GCF of Fractions of 6989/418, 6783/8814
1. What is the HCF of 6989,6783?
The HCF of 6989,6783 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 6989/418, 6783/8814?
Answer: GCF of Numerators as per given numbers 6989/418, 6783/8814 is
GCF of Numerators i.e. for 6989,6783 is 1
LCM of denominators i.e. for 418,8814 is 1842126.
Thus, GCF of Fractions is 1/1842126.Finally, GCF of Fractions for 6989/418, 6783/8814 is 1/1842126.