GCF of 5691/342, 5653/7974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5691/342, 5653/7974 i.e 1/151506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5691/342, 5653/7974.
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 5691/342,5653/7974?
Given fractions are 5691/342,5653/7974
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 5691/342,5653/7974, numerators are 5691,5653
Denominators are 342,7974
The GCF of 5691,5653 is 1 .
LCM of 342,7974 is 151506.
The greatest common factor of 5691/342,5653/7974 = [GCF of 5691,5653]/[LCM of 342,7974]= 1/151506
Therefore, the GCF of 5691/342,5653/7974 is 1/151506.
To find the highest common factor of 5691,5653, we have to find the factors of both numbers and list the highest common factor.
The factors of 5691 are 1, 3, 7, 21, 271, 813, 1897, 5691
The factors of 5653 are 1, 5653
The HCF of 5691,5653 is 1.
Lets's calculate GCF of 5691,5653
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5691,5653 By Matching Biggest Common Factor Method
Now, list down the factors of 5691
:1,3,7,21,271,813,1897,5691
Now, list down the factors of 5653
:1,5653
Greatest Common Factor
We found the factors 5691,5653 . The biggest common factor number is the GCF number.
So the greatest common factor 5691,5653 is 1.
Lets's calculate LCM of 342,7974
| 2 | 342, 7974 |
| 3 | 171, 3987 |
| 3 | 57, 1329 |
| 19, 443 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 19 x 443 = 151506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151506
Therefore, the GCF of Fractions 5691/342,5653/7974 is 1/151506
Least Common Multiple of 342,7974 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 342,7974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,7974) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(342,7974) x common factors =18 x 1 = 18
LCM(342,7974) = ( 342 × 7974 ) / 18
LCM(342,7974) = 2727108 / 18
LCM(342,7974) = 151506
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FAQs on GCF of Fractions of 5691/342, 5653/7974
1. What is the HCF of 5691,5653?
The HCF of 5691,5653 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 5691/342, 5653/7974?
Answer: GCF of Numerators as per given numbers 5691/342, 5653/7974 is
GCF of Numerators i.e. for 5691,5653 is 1
LCM of denominators i.e. for 342,7974 is 151506.
Thus, GCF of Fractions is 1/151506.Finally, GCF of Fractions for 5691/342, 5653/7974 is 1/151506.