GCF of 3191/310, 3107/5395
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3191/310, 3107/5395 i.e 1/334490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3191/310, 3107/5395.
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 3191/310,3107/5395?
Given fractions are 3191/310,3107/5395
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 3191/310,3107/5395, numerators are 3191,3107
Denominators are 310,5395
The GCF of 3191,3107 is 1 .
LCM of 310,5395 is 334490.
The greatest common factor of 3191/310,3107/5395 = [GCF of 3191,3107]/[LCM of 310,5395]= 1/334490
Therefore, the GCF of 3191/310,3107/5395 is 1/334490.
To find the highest common factor of 3191,3107, we have to find the factors of both numbers and list the highest common factor.
The factors of 3191 are 1, 3191
The factors of 3107 are 1, 13, 239, 3107
The HCF of 3191,3107 is 1.
Lets's calculate GCF of 3191,3107
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3191,3107 By Matching Biggest Common Factor Method
Now, list down the factors of 3191
:1,3191
Now, list down the factors of 3107
:1,13,239,3107
Greatest Common Factor
We found the factors 3191,3107 . The biggest common factor number is the GCF number.
So the greatest common factor 3191,3107 is 1.
Lets's calculate LCM of 310,5395
| 5 | 310, 5395 |
| 62, 1079 |
∴ So the LCM of the given numbers is 5 x 62 x 1079 = 334490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/334490
Therefore, the GCF of Fractions 3191/310,3107/5395 is 1/334490
Least Common Multiple of 310,5395 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 310,5395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,5395) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(310,5395) x common factors =5 x 1 = 5
LCM(310,5395) = ( 310 × 5395 ) / 5
LCM(310,5395) = 1672450 / 5
LCM(310,5395) = 334490
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FAQs on GCF of Fractions of 3191/310, 3107/5395
1. What is the HCF of 3191,3107?
The HCF of 3191,3107 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 3191/310, 3107/5395?
Answer: GCF of Numerators as per given numbers 3191/310, 3107/5395 is
GCF of Numerators i.e. for 3191,3107 is 1
LCM of denominators i.e. for 310,5395 is 334490.
Thus, GCF of Fractions is 1/334490.Finally, GCF of Fractions for 3191/310, 3107/5395 is 1/334490.