GCF of 6982/477, 8055/7050
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6982/477, 8055/7050 i.e 1/1120950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6982/477, 8055/7050.
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 6982/477,8055/7050?
Given fractions are 6982/477,8055/7050
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 6982/477,8055/7050, numerators are 6982,8055
Denominators are 477,7050
The GCF of 6982,8055 is 1 .
LCM of 477,7050 is 1120950.
The greatest common factor of 6982/477,8055/7050 = [GCF of 6982,8055]/[LCM of 477,7050]= 1/1120950
Therefore, the GCF of 6982/477,8055/7050 is 1/1120950.
To find the highest common factor of 6982,8055, we have to find the factors of both numbers and list the highest common factor.
The factors of 6982 are 1, 2, 3491, 6982
The factors of 8055 are 1, 3, 5, 9, 15, 45, 179, 537, 895, 1611, 2685, 8055
The HCF of 6982,8055 is 1.
Lets's calculate GCF of 6982,8055
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6982,8055 By Matching Biggest Common Factor Method
Now, list down the factors of 6982
:1,2,3491,6982
Now, list down the factors of 8055
:1,3,5,9,15,45,179,537,895,1611,2685,8055
Greatest Common Factor
We found the factors 6982,8055 . The biggest common factor number is the GCF number.
So the greatest common factor 6982,8055 is 1.
Lets's calculate LCM of 477,7050
| 3 | 477, 7050 |
| 159, 2350 |
∴ So the LCM of the given numbers is 3 x 159 x 2350 = 1120950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1120950
Therefore, the GCF of Fractions 6982/477,8055/7050 is 1/1120950
Least Common Multiple of 477,7050 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 477,7050 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,7050) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(477,7050) x common factors =3 x 1 = 3
LCM(477,7050) = ( 477 × 7050 ) / 3
LCM(477,7050) = 3362850 / 3
LCM(477,7050) = 1120950
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FAQs on GCF of Fractions of 6982/477, 8055/7050
1. What is the HCF of 6982,8055?
The HCF of 6982,8055 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 6982/477, 8055/7050?
Answer: GCF of Numerators as per given numbers 6982/477, 8055/7050 is
GCF of Numerators i.e. for 6982,8055 is 1
LCM of denominators i.e. for 477,7050 is 1120950.
Thus, GCF of Fractions is 1/1120950.Finally, GCF of Fractions for 6982/477, 8055/7050 is 1/1120950.