GCF of 3151/846, 5671/7198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3151/846, 5671/7198 i.e 1/3044754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3151/846, 5671/7198.
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 3151/846,5671/7198?
Given fractions are 3151/846,5671/7198
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 3151/846,5671/7198, numerators are 3151,5671
Denominators are 846,7198
The GCF of 3151,5671 is 1 .
LCM of 846,7198 is 3044754.
The greatest common factor of 3151/846,5671/7198 = [GCF of 3151,5671]/[LCM of 846,7198]= 1/3044754
Therefore, the GCF of 3151/846,5671/7198 is 1/3044754.
To find the highest common factor of 3151,5671, we have to find the factors of both numbers and list the highest common factor.
The factors of 3151 are 1, 23, 137, 3151
The factors of 5671 are 1, 53, 107, 5671
The HCF of 3151,5671 is 1.
Lets's calculate GCF of 3151,5671
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3151,5671 By Matching Biggest Common Factor Method
Now, list down the factors of 3151
:1,23,137,3151
Now, list down the factors of 5671
:1,53,107,5671
Greatest Common Factor
We found the factors 3151,5671 . The biggest common factor number is the GCF number.
So the greatest common factor 3151,5671 is 1.
Lets's calculate LCM of 846,7198
| 2 | 846, 7198 |
| 423, 3599 |
∴ So the LCM of the given numbers is 2 x 423 x 3599 = 3044754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3044754
Therefore, the GCF of Fractions 3151/846,5671/7198 is 1/3044754
Least Common Multiple of 846,7198 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 846,7198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,7198) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(846,7198) x common factors =2 x 1 = 2
LCM(846,7198) = ( 846 × 7198 ) / 2
LCM(846,7198) = 6089508 / 2
LCM(846,7198) = 3044754
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FAQs on GCF of Fractions of 3151/846, 5671/7198
1. What is the HCF of 3151,5671?
The HCF of 3151,5671 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 3151/846, 5671/7198?
Answer: GCF of Numerators as per given numbers 3151/846, 5671/7198 is
GCF of Numerators i.e. for 3151,5671 is 1
LCM of denominators i.e. for 846,7198 is 3044754.
Thus, GCF of Fractions is 1/3044754.Finally, GCF of Fractions for 3151/846, 5671/7198 is 1/3044754.