GCF of 3757/91, 1567/298
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3757/91, 1567/298 i.e 1/27118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3757/91, 1567/298.
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 3757/91,1567/298?
Given fractions are 3757/91,1567/298
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 3757/91,1567/298, numerators are 3757,1567
Denominators are 91,298
The GCF of 3757,1567 is 1 .
LCM of 91,298 is 27118.
The greatest common factor of 3757/91,1567/298 = [GCF of 3757,1567]/[LCM of 91,298]= 1/27118
Therefore, the GCF of 3757/91,1567/298 is 1/27118.
To find the highest common factor of 3757,1567, we have to find the factors of both numbers and list the highest common factor.
The factors of 3757 are 1, 13, 17, 221, 289, 3757
The factors of 1567 are 1, 1567
The HCF of 3757,1567 is 1.
Lets's calculate GCF of 3757,1567
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3757,1567 By Matching Biggest Common Factor Method
Now, list down the factors of 3757
:1,13,17,221,289,3757
Now, list down the factors of 1567
:1,1567
Greatest Common Factor
We found the factors 3757,1567 . The biggest common factor number is the GCF number.
So the greatest common factor 3757,1567 is 1.
Lets's calculate LCM of 91,298
Given numbers has no common factors except 1. So, there LCM is their product i.e 27118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27118
Therefore, the GCF of Fractions 3757/91,1567/298 is 1/27118
Least Common Multiple of 91,298 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 91,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,298) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,298) x common factors =1 x 1 = 1
LCM(91,298) = ( 91 × 298 ) / 1
LCM(91,298) = 27118 / 1
LCM(91,298) = 27118
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FAQs on GCF of Fractions of 3757/91, 1567/298
1. What is the HCF of 3757,1567?
The HCF of 3757,1567 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 3757/91, 1567/298?
Answer: GCF of Numerators as per given numbers 3757/91, 1567/298 is
GCF of Numerators i.e. for 3757,1567 is 1
LCM of denominators i.e. for 91,298 is 27118.
Thus, GCF of Fractions is 1/27118.Finally, GCF of Fractions for 3757/91, 1567/298 is 1/27118.