GCF of 3452/416, 7337/114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3452/416, 7337/114 i.e 1/23712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3452/416, 7337/114.
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 3452/416,7337/114?
Given fractions are 3452/416,7337/114
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 3452/416,7337/114, numerators are 3452,7337
Denominators are 416,114
The GCF of 3452,7337 is 1 .
LCM of 416,114 is 23712.
The greatest common factor of 3452/416,7337/114 = [GCF of 3452,7337]/[LCM of 416,114]= 1/23712
Therefore, the GCF of 3452/416,7337/114 is 1/23712.
To find the highest common factor of 3452,7337, we have to find the factors of both numbers and list the highest common factor.
The factors of 3452 are 1, 2, 4, 863, 1726, 3452
The factors of 7337 are 1, 11, 23, 29, 253, 319, 667, 7337
The HCF of 3452,7337 is 1.
Lets's calculate GCF of 3452,7337
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3452,7337 By Matching Biggest Common Factor Method
Now, list down the factors of 3452
:1,2,4,863,1726,3452
Now, list down the factors of 7337
:1,11,23,29,253,319,667,7337
Greatest Common Factor
We found the factors 3452,7337 . The biggest common factor number is the GCF number.
So the greatest common factor 3452,7337 is 1.
Lets's calculate LCM of 416,114
| 2 | 416, 114 |
| 208, 57 |
∴ So the LCM of the given numbers is 2 x 208 x 57 = 23712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23712
Therefore, the GCF of Fractions 3452/416,7337/114 is 1/23712
Least Common Multiple of 416,114 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 416,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,114) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(416,114) x common factors =2 x 1 = 2
LCM(416,114) = ( 416 × 114 ) / 2
LCM(416,114) = 47424 / 2
LCM(416,114) = 23712
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FAQs on GCF of Fractions of 3452/416, 7337/114
1. What is the HCF of 3452,7337?
The HCF of 3452,7337 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 3452/416, 7337/114?
Answer: GCF of Numerators as per given numbers 3452/416, 7337/114 is
GCF of Numerators i.e. for 3452,7337 is 1
LCM of denominators i.e. for 416,114 is 23712.
Thus, GCF of Fractions is 1/23712.Finally, GCF of Fractions for 3452/416, 7337/114 is 1/23712.