GCF of 3181/707, 6691/8989
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3181/707, 6691/8989 i.e 1/62923 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3181/707, 6691/8989.
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 3181/707,6691/8989?
Given fractions are 3181/707,6691/8989
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 3181/707,6691/8989, numerators are 3181,6691
Denominators are 707,8989
The GCF of 3181,6691 is 1 .
LCM of 707,8989 is 62923.
The greatest common factor of 3181/707,6691/8989 = [GCF of 3181,6691]/[LCM of 707,8989]= 1/62923
Therefore, the GCF of 3181/707,6691/8989 is 1/62923.
To find the highest common factor of 3181,6691, we have to find the factors of both numbers and list the highest common factor.
The factors of 3181 are 1, 3181
The factors of 6691 are 1, 6691
The HCF of 3181,6691 is 1.
Lets's calculate GCF of 3181,6691
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3181,6691 By Matching Biggest Common Factor Method
Now, list down the factors of 3181
:1,3181
Now, list down the factors of 6691
:1,6691
Greatest Common Factor
We found the factors 3181,6691 . The biggest common factor number is the GCF number.
So the greatest common factor 3181,6691 is 1.
Lets's calculate LCM of 707,8989
| 101 | 707, 8989 |
| 7, 89 |
∴ So the LCM of the given numbers is 101 x 7 x 89 = 62923
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62923
Therefore, the GCF of Fractions 3181/707,6691/8989 is 1/62923
Least Common Multiple of 707,8989 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 707,8989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,8989) = 101
common factors(in case of two or more numbers have common factors) = 1
GCF(707,8989) x common factors =101 x 1 = 101
LCM(707,8989) = ( 707 × 8989 ) / 101
LCM(707,8989) = 6355223 / 101
LCM(707,8989) = 62923
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FAQs on GCF of Fractions of 3181/707, 6691/8989
1. What is the HCF of 3181,6691?
The HCF of 3181,6691 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 3181/707, 6691/8989?
Answer: GCF of Numerators as per given numbers 3181/707, 6691/8989 is
GCF of Numerators i.e. for 3181,6691 is 1
LCM of denominators i.e. for 707,8989 is 62923.
Thus, GCF of Fractions is 1/62923.Finally, GCF of Fractions for 3181/707, 6691/8989 is 1/62923.