GCF of 7730/161, 3166/3131
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7730/161, 3166/3131 i.e 2/504091 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7730/161, 3166/3131.
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 7730/161,3166/3131?
Given fractions are 7730/161,3166/3131
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 7730/161,3166/3131, numerators are 7730,3166
Denominators are 161,3131
The GCF of 7730,3166 is 2 .
LCM of 161,3131 is 504091.
The greatest common factor of 7730/161,3166/3131 = [GCF of 7730,3166]/[LCM of 161,3131]= 2/504091
Therefore, the GCF of 7730/161,3166/3131 is 2/504091.
To find the highest common factor of 7730,3166, we have to find the factors of both numbers and list the highest common factor.
The factors of 7730 are 1, 2, 5, 10, 773, 1546, 3865, 7730
The factors of 3166 are 1, 2, 1583, 3166
The HCF of 7730,3166 is 2.
Lets's calculate GCF of 7730,3166
| 2 | 7730, 3166 |
| 3865, 1583 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7730,3166 By Matching Biggest Common Factor Method
Now, list down the factors of 7730
:1,2,5,10,773,1546,3865,7730
Now, list down the factors of 3166
:1,2,1583,3166
Greatest Common Factor
We found the factors 7730,3166 . The biggest common factor number is the GCF number.
So the greatest common factor 7730,3166 is 2.
Lets's calculate LCM of 161,3131
Given numbers has no common factors except 1. So, there LCM is their product i.e 504091
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/504091
Therefore, the GCF of Fractions 7730/161,3166/3131 is 2/504091
Least Common Multiple of 161,3131 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 161,3131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,3131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(161,3131) x common factors =1 x 1 = 1
LCM(161,3131) = ( 161 × 3131 ) / 1
LCM(161,3131) = 504091 / 1
LCM(161,3131) = 504091
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FAQs on GCF of Fractions of 7730/161, 3166/3131
1. What is the HCF of 7730,3166?
The HCF of 7730,3166 is 2
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 7730/161, 3166/3131?
Answer: GCF of Numerators as per given numbers 7730/161, 3166/3131 is
GCF of Numerators i.e. for 7730,3166 is 2
LCM of denominators i.e. for 161,3131 is 504091.
Thus, GCF of Fractions is 2/504091.Finally, GCF of Fractions for 7730/161, 3166/3131 is 2/504091.