GCF of 5981/306, 7703/102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5981/306, 7703/102 i.e 1/306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5981/306, 7703/102.
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 5981/306,7703/102?
Given fractions are 5981/306,7703/102
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 5981/306,7703/102, numerators are 5981,7703
Denominators are 306,102
The GCF of 5981,7703 is 1 .
LCM of 306,102 is 306.
The greatest common factor of 5981/306,7703/102 = [GCF of 5981,7703]/[LCM of 306,102]= 1/306
Therefore, the GCF of 5981/306,7703/102 is 1/306.
To find the highest common factor of 5981,7703, we have to find the factors of both numbers and list the highest common factor.
The factors of 5981 are 1, 5981
The factors of 7703 are 1, 7703
The HCF of 5981,7703 is 1.
Lets's calculate GCF of 5981,7703
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5981,7703 By Matching Biggest Common Factor Method
Now, list down the factors of 5981
:1,5981
Now, list down the factors of 7703
:1,7703
Greatest Common Factor
We found the factors 5981,7703 . The biggest common factor number is the GCF number.
So the greatest common factor 5981,7703 is 1.
Lets's calculate LCM of 306,102
| 2 | 306, 102 |
| 3 | 153, 51 |
| 17 | 17, 51 |
| 1, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 1 x 3 = 306
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/306
Therefore, the GCF of Fractions 5981/306,7703/102 is 1/306
Least Common Multiple of 306,102 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 306,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,102) = 102
common factors(in case of two or more numbers have common factors) = 1
GCF(306,102) x common factors =102 x 1 = 102
LCM(306,102) = ( 306 × 102 ) / 102
LCM(306,102) = 31212 / 102
LCM(306,102) = 306
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FAQs on GCF of Fractions of 5981/306, 7703/102
1. What is the HCF of 5981,7703?
The HCF of 5981,7703 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 5981/306, 7703/102?
Answer: GCF of Numerators as per given numbers 5981/306, 7703/102 is
GCF of Numerators i.e. for 5981,7703 is 1
LCM of denominators i.e. for 306,102 is 306.
Thus, GCF of Fractions is 1/306.Finally, GCF of Fractions for 5981/306, 7703/102 is 1/306.