GCF of 3083/869, 7736/553
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3083/869, 7736/553 i.e 1/6083 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3083/869, 7736/553.
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 3083/869,7736/553?
Given fractions are 3083/869,7736/553
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 3083/869,7736/553, numerators are 3083,7736
Denominators are 869,553
The GCF of 3083,7736 is 1 .
LCM of 869,553 is 6083.
The greatest common factor of 3083/869,7736/553 = [GCF of 3083,7736]/[LCM of 869,553]= 1/6083
Therefore, the GCF of 3083/869,7736/553 is 1/6083.
To find the highest common factor of 3083,7736, we have to find the factors of both numbers and list the highest common factor.
The factors of 3083 are 1, 3083
The factors of 7736 are 1, 2, 4, 8, 967, 1934, 3868, 7736
The HCF of 3083,7736 is 1.
Lets's calculate GCF of 3083,7736
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3083,7736 By Matching Biggest Common Factor Method
Now, list down the factors of 3083
:1,3083
Now, list down the factors of 7736
:1,2,4,8,967,1934,3868,7736
Greatest Common Factor
We found the factors 3083,7736 . The biggest common factor number is the GCF number.
So the greatest common factor 3083,7736 is 1.
Lets's calculate LCM of 869,553
| 79 | 869, 553 |
| 11, 7 |
∴ So the LCM of the given numbers is 79 x 11 x 7 = 6083
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6083
Therefore, the GCF of Fractions 3083/869,7736/553 is 1/6083
Least Common Multiple of 869,553 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 869,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,553) = 79
common factors(in case of two or more numbers have common factors) = 1
GCF(869,553) x common factors =79 x 1 = 79
LCM(869,553) = ( 869 × 553 ) / 79
LCM(869,553) = 480557 / 79
LCM(869,553) = 6083
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FAQs on GCF of Fractions of 3083/869, 7736/553
1. What is the HCF of 3083,7736?
The HCF of 3083,7736 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 3083/869, 7736/553?
Answer: GCF of Numerators as per given numbers 3083/869, 7736/553 is
GCF of Numerators i.e. for 3083,7736 is 1
LCM of denominators i.e. for 869,553 is 6083.
Thus, GCF of Fractions is 1/6083.Finally, GCF of Fractions for 3083/869, 7736/553 is 1/6083.